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MATH1003 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001 1.4 Order of Operations
| Date post: | 23-Jun-2015 |
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Education |
| Upload: | gcmath1003 |
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MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
1.4Order ofOperations
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To correctly follow the order of operationswhen performing calculations.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
1 + 2 • 3 - 4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
1 + 2 • 3 - 4
3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
(1 + 2) • 3 - 4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
(1 + 2) • 3 - 4
5
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
1 + 2 • (3 - 4)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
What is the value of
1 + 2 • (3 - 4)
-1
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Why do we need to have rules regarding the “order of operations”?
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Why do we need to have rules regarding the “order of operations”?
So that we can consistenty “talk” the same language with regards to solving equations.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
went left to right
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
added 5 and 2 (=7), subtracted that
from 8 (=1), multiplied by 3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
multiplied 2 and 3 (=6), added that to 5 (=11), and subtracted
that from 8
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
multiplied 2 and 3 (=6), subtracted 5 from 8 (=3), added that to 6
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
Imagine if we didn’t have an “order of operations”…
Person A: 8 - 5 + 2 • 3 = 15Person B: 8 - 5 + 2 • 3 = 3Person C: 8 - 5 + 2 • 3 = -3Person D: 8 - 5 + 2 • 3 = 9
Who has the correct answer?
XXX√
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
PEDMASor
BEDMAS
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + ((2 - 4) + 7))
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
((5 + 3) + ((2 - 4) + 7))
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
((5 + 3) + ((2 - 4) + 7))
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
((5 + 3) + ((2 - 4) + 7))
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
((5 + 3) + ((2 - 4) + 7))
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + ((-2) + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
((5 + 3) + (-2 + 7))
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
((5 + 3) + (-2 + 7))
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + (-2 + 7))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + (5))
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
((5 + 3) + 5)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
((5 + 3) + 5)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((5 + 3) + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
((8) + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
(8 + 5)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
(8 + 5)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
(8 + 5)
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
(13)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
13
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
243
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
243
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
243
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
264
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
264
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
18446744073709551616
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
(24)3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
(24)3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
(24)3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
(16)3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
163
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
163
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
4096
1. Parentheses (brackets) (from the inside out)
2. Exponents (from right to left)
3. Division and Multiplication (from left to right)
4. Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
23 - 4 • 3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
23 - 4 • 3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
23 - 4 • 3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
23 - 4 • 3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
23 - 4 • 3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
8 - 4 • 3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
8 - 4 • 3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
8 - 4 • 3
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
8 - 12
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
8 - 12
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
-4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
23 - 4 • 3 = -4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 22 + (23)2
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 22 + (23)2
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 22 + (23)2
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 22 + (8)2
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 22 + 82
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 22 + 82
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 4 + 82
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 4 + 64
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 4 + 64
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 4 + 64
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
12 + 64
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
12 + 64
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
76
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Order of Operations
1.Parentheses (brackets) (from the inside out)2.Exponents (from right to left)3.Division and Multiplication (from left to right)4.Addition and Subtraction (from left to right)
3 • 22 + (23)2 = 76
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
23 - 3 • 4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
23 - 3 • 4
-4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
23 - 3 • 4
-4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 - 3 • 4
-4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 - 3 • 4
-4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 - 12
-4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 - 12
-4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
-4
-4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
23 - 3 • 4 = -4
-4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (5 - 1)) + 4
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (5 - 1)) + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (5 - 1)) + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (4)) + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • 4) + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • 4) + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • 4) + 4
74
inside these brackets we have to follow the “order of
operations”
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • 4) + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 12) + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 12) + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (14) + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • 14 + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • 14 + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
70 + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
70 + 4
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
74
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
5 • (2 + 3 • (5 - 1)) + 4 = 74
74
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
(3 + (5 - 2 • (1 + 2))) - 1
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
(3 + (5 - 2 • (1 + 2))) - 1
1
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
(3 + (5 - 2 • (1 + 2))) - 1
1= (3 + (5 - 2 • (3))) - 1= (3 + (5 - 2 • 3)) - 1= (3 + (5 - 6)) - 1= (3 + (-1)) - 1 = (2) - 1= 1
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 + 3 - 5 + 4 - 2 = 0
Place brackets to make the expression correct
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 + 3 - (5 + 4) - 2 = 0
Place brackets to make the expression correct
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 + 3 - 5 + 4 - 2 = 4
Place brackets to make the expression correct
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
8 + 3 - (5 + 4 - 2) = 4
Place brackets to make the expression correct
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
a) 7 - (4 / 2) + 8b) 7 - 4 / (2 + 8)c) (7 - 4) / 2 + 8
Which of these has the greatest result?
C 13.5
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Team Checkup
a) 5 - (23 - 9) / 3b) (5 - 23) - 9 / 3c) 5 - (23 - 9 / 3)
Which of these has the smallest result?
B -6
