AnswersPre-Algebra A-CRMultiplying Fractions

Multiplying Fractions Answers

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1
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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.
2
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Ivan and Polina have each drawn a conclusion about multiplying negative fractions. Ivan: The product of an even number of negative fractions is always positive. Polina: The product of an odd number of negative fractions is always negative. Whose conclusion is correct?

A
Ivan only
B
Polina only
C
both Ivan and Polina
D
neither Ivan or Polina
3

Seven students cut inches of thread from a spool for a school project. What number represents the change in the amount of the thread on the spool?

Question illustration
A
inches
Option A
B
inches
Option B
C
inches
Option C
D
inches
Option D
4

The result of which expression will best estimate the actual product of ?

Question illustration
A
(Negative 1) (one-fourth) (Negative 1) (negative 1)
Option A
B
(Negative 1) (one-half) (Negative 1) (1)
Option B
C
(Negative StartFraction 4 over 2 EndFraction) (Three-halves) (Negative two-fifths) (Five-halves)
Option C
D
(Negative three-fourths) (Negative three-fourths) (Negative one-fifth) (One-half)
Option D
5

Which expression is the best estimate of the product of and ?

Question illustration
A
0 times 8
Option A
B
1 times 10
Option B
C
7 times 8
Option C
D
1 times 8
Option D
6

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
7

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.
8

Nico and Lorena used different methods to determine the product of three fractions. Nico’s MethodLorena’s MethodWhose solution is correct and why?

Question illustration
A
Nico is correct because he knew that .
Option A
B
Nico is correct because he knew that .
Option B
C
Lorena is correct because she knew that
Option C
D
Lorena is correct because she knew that
Option D
9

Which could be used to evaluate the expression ?

Question illustration
A
(Negative 6) (4) + (negative 6) (two-thirds)
Option A
B
(Negative 6) (4) times (negative 6) (two-thirds)
Option B
C
(Negative 6 + 4) + (Negative 6 + two-thirds)
Option C
D
(Negative 6 + 4) times (negative 6 + two-thirds)
Option D
10

Adante begins to evaluate the expression using the steps below.Which could be his next step?

Question illustration
A
(3) (5) + (one-third) (5) + (3) (one-fourth) + (one-third) (one-fourth)
Option A
B
(3) (5) + (3) (one-third) + (3) (one-fourth) + (3) (one-third)
Option B
C
(3 and one-third) (3 and one-third) + (5) (one-fourth)
Option C
D
(3 and one-third + 3 and one-third) times (5 + one-fourth)
Option D

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