Answers3822C PRE ALG 8CRational Number Operations

Rational Number Operations — Test Answers

25 verified answers
1
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Which calculation shows the best method for estimating the result of 674×(7)/(12) ?

A
700×12=350
B
690×13=230
C
600×13=200
D
600×12=300
2
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Valentino wants to estimate the product 5 point 2 times 9 point 9 Which expression shows each factor rounded to the nearest whole number?

A
5 times 10
B
6 times 10
C
6 times 9
D
5 times 9
3

Which number line correctly shows 4 point 5 minus 2 point 5 ?

A
Image with description Number line ranging from negative 4.5 to 0 with tick marks every 0.5. The visible number labels are negative 4.5, negative 4, negative 3.5, negative 3, negative 2.5, negative 2, negative 1.5, negative 1, negative 0.5, and 0. One ray begins at negative 4.5 and extends right to negative 2. A second ray begins at 0 and extends left to negative 4.5.
B
Image with description Number line ranging from negative 4.5 to 2.5 with tick marks every 0.5. The visible number labels are negative 4.5, negative 3.5, negative 2.5, negative 1.5, negative 0.5, 0.5, 1.5, and 2.5. One ray begins at 0 and extends left to negative 4.5. A second ray begins at 2.5 and extends left to 0.
C
Image with description Number line ranging from negative 2.5 to 4.5 with tick marks every 0.5. The visible number labels are negative 2.5, negative 1.5, negative 0.5, 0.5, 1.5, 2.5, 3.5, and 4.5. One ray begins at negative 2.5 and extends right to 0. A second ray begins at 0 and extends right to 4.5.
D
Image with description Number line ranging from 0 to 4.5 with tick marks every 0.5. The visible number labels are 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, and 4.5. One ray begins at 0 and extends right to 4.5. A second ray begins at 4.5 and extends left to 2.
4

Fiona wants to estimate the product 8 point 7 times 3 point 0 Which expression shows each factor rounded to the nearest whole number?

A
9 times 4
B
9 times 3
C
8 times 3
D
8 times 4
5

Which product is negative?

A
open paren negative 3 eighths close paren times open paren negative 5 sevenths close paren times 1 fourth
B
open paren negative 3 eighths close paren times open paren negative 5 sevenths close paren times open paren negative 1 fourth close paren
C
3 eighths times open paren negative 5 sevenths close paren times open paren negative 1 fourth close paren
D
3 eighths times 5 sevenths times 1 fourth
6

Velvet fabric costs 11 point 4 9 dollars a yard. Yvette buys 9 point 3 yards. Yvette’s estimated cost of the velvet is

A
104 dollars .
B
99 dollars .
C
20 dollars .
D
120 dollars .
7

Which division expression is equivalent to the fraction with numerator 4 and 1 third and denominator negative 5 sixths ?

A
13 thirds divided by 5 sixths
B
negative 13 thirds divided by open paren negative 5 sixths close paren
C
negative 5 sixths divided by 13 thirds
D
13 thirds divided by open paren negative 5 sixths close paren
8

Ella wants to estimate the product 3 point 6 times 7 point 8 Which expression shows each factor rounded to the nearest whole number?

A
3 times 8
B
4 times 7
C
3 times 7
D
4 times 8
9

Dianna made several loaves of bread yesterday. Each loaf required 2 and 2 thirds cups of flour. All together, she used 13 and 1 third cups of flour. How many loaves did Dianna make?

A
7 loaves
B
3 loaves
C
4 loaves
D
5 loaves
10

The first step that Sarah performed to simplify the expression 4⁢(6.8−4.2)+8.22 before entering it into the calculator is shown. 2⁢(3.4–2.1)+4.1 Which statement is true?

A
The first step should have been 2⁢(6.8–4.2)+8.2.
B
Sarah performed the first step correctly.
C
The first step should have been the fraction with numerator 4 times 2 point 6 plus 8 point 2 and denominator 2.
D
The first step should have been the fraction with numerator 27 point 2 minus 4 point 2 plus 8 point 2 and denominator 2.
11

The temperature falls from 0 degrees to negative 12 and 1 fourth degrees in 3 and 1 half hours. Which expression finds the change in temperature per hour?

A
negative 7 halves divided by 49 fourths
B
negative 49 fourths times 7 halves
C
negative 49 fourths divided by 7 halves
D
negative 7 halves times 49 fourths
12

A recipe that makes 4 servings calls for 2 thirds cup of flour. How much flour is required to make 20 servings?

A
3 and 1 third cups
B
6 cups
C
2 thirds cups
D
2 over 15 cups
13

The weights of five grapefruits are 7 point 4 7 ounces, 7 point 2 3 ounces, 6 point 4 6 ounces, 7 point 4 8 ounces, and 6 point 8 1 ounces. Using the clustering estimation technique, what is the approximate total weight of the grapefruits?

A
35 point 4 5 ounces
B
34 ounces
C
35 point 5 ounces
D
35 ounces
14

Which calculation shows the best method for estimating the result of 384÷(3)/(16) ?

A
300÷13=100
B
400÷14=1,600
C
300÷13=900
D
400÷14=100
15

Manuel buys 7 point 9 pounds of strawberries. Each pound costs 3 point 8 9 dollars Which expression gives the best estimate of the cost of the strawberries?

A
7 times open paren 3 dollars close paren
B
7 times open paren 4 dollars close paren
C
8 times open paren 4 dollars close paren
D
8 times open paren 3 dollars close paren
16

Which expression best estimates 6 and 3 fourths divided by 1 2 thirds ?

A
3 divided by 2
B
6 divided by 1
C
8 divided by 3
D
7 divided by 2
17

Which calculation will give the best estimate of the result of 23⁢×⁢4.8 ?

A
30⁢×⁢5
B
20⁢×⁢0.5
C
20⁢×⁢5
D
30⁢×⁢0.5
18

Which product is positive?

A
2 fifths times open paren negative 8 ninths close paren times open paren negative 1 third close paren times open paren negative 2 sevenths close paren
B
2 fifths times 8 ninths times 1 third times open paren negative 2 sevenths close paren
C
open paren negative 2 fifths close paren times open paren negative 8 ninths close paren times 1 third times 2 sevenths
D
open paren negative 2 fifths close paren times 8 ninths times open paren negative 1 third close paren times open paren negative 2 sevenths close paren
19

Which number line correctly shows 1 point 5 plus 2 point 5 ?

A
Image with description A number line from 0 to 6 point 5 by halves. A ray extends from 0 to 1 point 5. A second ray extends from 1 point 5 to 3.
B
Image with description A number line from 0 to 6 point 5 by halves. A ray extends from 0 to 1 point 5. A second ray extends from 1 point 5 to 4.
C
Image with description Number line ranging from 0 to 6.5 in increments of 0.5. The visible number labels are 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, and 6.5. One ray begins at 0 and extends right to 2.5. A second ray begins at 2.5 and extends right to 5.
D
Image with description Number line ranging from 0 to 6.5 in increments of 0.5. The visible number labels are 0, 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5, 5.5, 6, and 6.5. One ray begins at 1.5 and extends right to 3. A second ray begins at 3 and extends right to 5.5.
20

Which expression has a positive quotient?

A
the fraction with numerator 2 and 2 sevenths and denominator negative 1 fifth
B
negative 3 fourths over negative 2 thirds
C
negative 6 over 5 thirds
D
the fraction with numerator negative 1 eighth and denominator 3 and 1 fifth

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