Operations and Integers

Mrs. Bryand

Fraction Fun

Were here to show you the rules!

Adding Fractions

Subtracting Fractions

Multiplying Fractions

Dividing Fractions

Multiplying Fractions

Multiplying fractions is easyStraight Across!

Try some. Multiply the following:

4 29 3

1 53 8

2 43 5

5 58 8

Answers

4 2 89 3 27

1 5 53 8 24

2 4 83 5 15

5 5 258 8 64

Dividing Fractions

Dividing fractions requires one more step

Keep It, Change It, Flip It

Called the reciprocal

Examples: 5 ÷ 1 8 2

1 ÷ 3 4

Adding Fractions

Adding fractions requires a common denominator

Examples:

1 + 2 5 3

2 + ¼ ½

Subtracting Fractions

Subtracting fractions requires a common denominator

Examples:

2 – 1/5

¼ - 2/3

To add or subtract with decimals you LINE up the decimals!

Ex: 2.345 + 17.4

Ex: 62.34 - 5

To multiply or divide with decimals you place the decimal in the answer based on the number of digits behind the decimal in each term. The decimals in the problem do NOT have to line up.

Ex: 1.234 x 56.7

Ex: 4.2 ÷ 3

Interesting Integers!

Definition

Positive number – a number greater than zero.

0 1 2 3 4 5 6

Definition

Negative number – a number less than zero.

0 1 2 3 4 5 6-1-2-3-4-5-6

Definition Integers – Integers are all the

whole numbers and all of their opposites on the negative number line including zero.

7 opposite -7

Definition Absolute Value – The size of

a number with or without the negative sign.

The absolute value of 9 or of –9 is 9.

Negative Numbers Are Used to Measure Temperature

Negative Numbers Are Used to Measure Under Sea Level

0102030

-10-20-30-40-50

Negative Numbers Are Used to Show Debt

Let’s say your parents bought a car buthad to get a loan from the bank for $5,000.When counting all their money they add in -$5.000 to show they still owe the bank.

Hint

If you don’t see a negative or positive sign in front of a number it is positive.

9+

Integer Rules

Rule #1 – If the signs are the same, Add and Keep the sign

9 + 5 = 14-9 + -5 = -14

Solve the Problems -3 + -5 = 4 + 7 = (+3) + (+4) = -6 + -7 = 5 + 9 = -9 + -9 =

-8

-18

14-13

7

11

Integer Rules Rule #2 – If the signs are different…

“Opposites Subtract” and keep the sign of the bigger number!

-9 + +5 =9 - 5 = 4

Larger abs. value

Answer = - 4

Solve These Problems

3 + -5 = -4 + 7 = (+3) + (-4) = -6 + 7 = 5 + -9 = -9 + 9 =

-25 – 3 = 2

0 -4

1-1

3

9 – 9 = 0

9 – 5 = 4

7 – 6 = 14 – 3 = 1

7 – 4 = 3

Multiplying or Dividing IntegersIf the signs are the same the answer is

+If the signs are different the answer is –

Examples:(24)(3)(-108)(-4)(24)(-3)(-108)(4)

Aren’t integersinteresting?