Date post: | 25-Jun-2015 |
Category: |
Documents |
Upload: | caron-byrd |
View: | 182 times |
Download: | 0 times |
REVIEW: FRACTIONS (CHAPTER 4)
A ___________ describes the number of equal parts of a whole.fraction
In a fraction, the number above the ________ ______ is called the ___________, and the number below is called the _______________.
fraction barnumerator
denominator
If the numerator of a fraction is less than its denominator, the fraction is called a _________ __________. If the numerator of a fraction is greater than or equal to its denominator, the fraction is called an __________ __________.
proper fraction
improper fraction
Each of these fractions is a ______ ____ _____: form of 1
Two fractions are __________ if they represent the same number. ____________ ___________ represent the same portion of a whole.
equivalentEquivalent fractions
To ________ ___ __________, we multiply it by a factor equal to 1 in the form of and so on.
build a fraction
A fraction is in _________ _______ , or _______ _____ , when the numerator and denominator have no common factors other than 1.
simplest form lowest terms
_________ fractions are simplified and built up just like numerical fractions.
Algebraic
To __________________ , multiply the numerators and multiply the denominators. Simplify the result, if possible.
multiply two fractions
When a ______________________________, it indicates that we are to find a part of some quantity using multiplication.
fraction is followed by the word of
The formula for the _______ of a triangle is .area
One number is the ___________ of another if their product is 1. reciprocal
To find the ___________ of a fraction, _______ the numerator and denominator.
reciprocal invert
REVIEW: 4.1-4.2
β’ Simplify each fraction, if possible.
1545
20 π₯3
48 π₯2
66108
117π2π6
208π5π
REVIEW: 4.1-4.2
β’ Multiply and Simplify.
β34β227
REVIEW: 4.1-4.2
β’ Exponential Expressions
( 23 )3
β( 35 )2
4.3 DIVISION WITH FRACTIONS
4.8 SOLVING EQUATIONS
π₯+15=β
1115
34π₯=
58π₯+12
3 π¦β8=0
1101100
11,000
110,000
1100,000
11,000,000
1101001 ,00010,000100,0001 ,000,000 .
To _______________ to a certain decimal place value, locate the rounding digit in that place.
round a decimal
Look at the ________ directly to the right of the rounding digit.test digit
If the test digit is __________ , round up. If it is 4 or less, round down by keeping the rounding digit and dropping all the digits to its right.
5 or greater
SECTION 5.1- ROUNDING TO A CERTAIN PLACE VALUE.
Round 3,706.0815 to the nearest thousandth.
Round -0.0614 to the nearest tenth.
Round 11.314964 to the nearest ten-thousandth.
SECTION 5.2- ADDING AND SUBTRACTING DECIMALS.
Add: 15.82 + 19 + 32.995.
Write the problem in vertical form and add, column by column, working right to left.
Subtract: 8.4 β 3.029.
SECTION 5.2- ADDING AND SUBTRACTING SIGNED DECIMALS.
Use the same rules that are used for adding and subtracting integers.
Add: -21.35 + (-64.52).
Subtract: -8.62 - (-1.4).
SECTION 5.3- MULTIPLYING DECIMAL NUMBERS
Line up the numbers and multiply like whole numbers.
Move the decimal point in the product the number of decimal places in both factors.
2.76 β 4.3
SECTION 5.3- MULTIPLYING SIGNED DECIMAL NUMBERS
Line up the numbers and multiply like whole numbers and follow the rules for multiplying signed integers.
(β0.03)(β4.1)
Move the decimal point in the product the number of decimal places in both factors.
SECTION 5.3- EXPONENTIAL EXPRESSIONS
The base of an exponential expression can be a positive or negative decimal.
ΒΏ
ΒΏ
SECTION 5.4- DIVIDING DECIMALS
To divide with a decimal divisor:1. Write the problem in long
division form.2. Move the decimal point of
the divisor so that it becomes a whole number.
3. Move the decimal point of the dividend the same number of places to the right.
4. Write a decimal point in the quotient directly above the decimal point in the dividend.
π·ππ£πππ :1.4623.4
SECTION 5.4- DIVIDING SIGNED DECIMALS
Use the rules for dividing integers. π·ππ£πππ :β1.530.3
SECTION 5.4- EVALUATING EXPRESSIONS AND FORMULAS
Use the rules for ________________ to evaluate expressions and formulas.
37.8β(1.2)2
0.1+0.3
order of operations
SECTION 5.5- FRACTIONS AND DECIMALS
To write a fraction as a decimal, _______ the numerator of the fraction by its denominator.
1325
316
divide
SECTION 5.5- REPEATING DECIMALS
If the division process never gives a remainder of zero (____________), we call the resulting decimal a _________ or non-terminating___ decimal.
56
1112
terminatingrepeating
227
SECTION 5.5- MIXED NUMBERS IN DECIMAL FORM
To write a mixed number in decimal form, we need only find the decimal equivalent for the fractional part of the mixed number.
478
ΒΏ 4 .875
1347
SECTION 5.5- COMPARING THE SIZE OF A FRACTION AND DECIMAL
Write the fraction in its equivalent decimal form.
Compare and 0.07.
350
<0.07
SECTION 5.5- EVALUATING EXPRESSIONS THAT CONTAIN BOTH FRACTIONS AND DECIMALS
To evaluate expressions that can contain both fractions and decimals, we can work in terms of decimals or in terms of fractions.
πΈπ£πππ’ππ‘π :16+0.31 β0.17+0 .31
β0 .48
SECTION 5.5- HOMEWORK PROBLEMS
Page 510#1, 3, 4, 8, 113, 114, 115, 116
Page 546# 75-94 (all)
1. equivalent 3. terminating 4. repeating 8. terminating 113-116. Discuss as a class
75. 0.875 76. -0.4 77. 0.5625 78. 0.06 79. 0.54 80. -1.3 81. 3.056 82. 0.57 83. 0.5884. 1.03 85. > 86. = 87. 0.3,, 0.3 88. on board 89. 90. 91. 93 92. 7.305 93. 34.88 94. $22.25