AnswersPre-Algebra A-CRMultiplying Fractions

Multiplying Fractions Answers

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Calvin evaluated using the steps below.Step 1: Step 2: Step 3: Step 4: Which describes Calvin’s error?

Question illustration
A
In step 1, he incorrectly broke up .
Option A
B
In step 2, he distributed the instead of the 5.
Option B
C
In step 2, he confused the multiplication and addition signs.
D
In step 3, he computed the addition and multiplication incorrectly.
2
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Vassil rounded to the nearest half to estimate the product of and . How do the estimated and actual products compare?(Hint: use 18 for the denominator when comparing.)

Question illustration
A
The actual product is about greater than the estimate.
Option A
B
The actual product is about less than the estimate.
Option B
C
The actual product is about greater than the estimate.
Option C
D
The actual product is about less than the estimate.
Option D
5

Javier rounded to the nearest half to estimate the product of and . How do the estimate and the actual product compare?

Question illustration
A
The actual product is less than the estimate. The numbers differ by less than one.
B
The actual product is greater than the estimate. The numbers differ by less than one.
C
The actual product is less than the estimate. The numbers differ by more than one.
D
The actual product is greater than the estimate. The numbers differ by more than one.
7

Which expression could be used to determine the product of –4 and ?

Question illustration
A
(negative 4) (3) times (negative 4) (one-fourth)
Option A
B
(negative 4) (3) + (negative 4) (one-fourth)
Option B
C
(3) (negative 4) times (3) (one-fourth)
Option C
D
(3) (negative 4) + (3) (one-fourth)
Option D
8

A leaky pool loses inches of water each day. Jermaine and Mildred are asked to determine the change in the amount of water in the pool over 5 days. Jermaine’s SolutionMildred’s SolutionWhich describes the reasoning used to determine whose solution is correct?

Question illustration
A
Jermaine is correct because equals
Option A
B
Jermaine is correct because he distributed 5 correctly.
C
Mildred is correct because she multiplied 5 by –2 but not by .
Option C
D
Mildred is correct because she distributed 5 correctly.
10

Which shows how the distributive property can be used to evaluate ?

Question illustration
A
56 + StartFraction 28 over 5 EndFraction = 56 + 5 and three-fifths = 61 and three-fifths
Option A
B
56 times StartFraction 28 over 5 EndFraction = StartFraction 1568 over 5 EndFraction = 313 and three-fifths
Option B
C
15 + (StartFraction 35 over 5 EndFraction + four-fifths) = 15 + StartFraction 39 over 5 EndFraction = StartFraction 75 over 5 EndFraction + StartFraction 39 over 5 EndFraction = StartFraction 114 over 5 EndFraction = 22 and four-fifths
Option C
D
15 times (StartFraction 35 over 5 EndFraction + four-fifths) = 15 times StartFraction 39 over 5 EndFraction = StartFraction 15 over 1 EndFraction times StartFraction 39 over 5 EndFraction = StartFraction 585 over 5 EndFraction = 117
Option D

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