AnswersACHS-Fundamental Algebra A-CREstimating and Finding Decimal Products

Multiplying Fractions Answers

10 verified answers2 views
1
Free Preview

Yasmin purchased 6 heads of cabbage that each weighed pounds. How much did the cabbage weigh all together?

Question illustration
A
pounds
Option A
B
pounds
Option B
C
pounds
Option C
D
pounds
Option D
2
Free Preview

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
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

Which is the best estimate of ?

Question illustration
A
–18
B
–9
C
9
D
18
5

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
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

Which is the best estimate of ?

Question illustration
A
–42
B
–28
C
28
D
42
8

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
9

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
10

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.
11

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
12

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
13

Which is the best estimate of ?

Question illustration
A
–42
B
–28
C
28
D
42
14

Which is the best estimate of ?

Question illustration
A
–18
B
–9
C
9
D
18
15

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.
16

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
17

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
18

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
19

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.

Did you find these answers helpful?

More from this Course

Quiz
11 verified answers

Solving Equations with Rational Numbers

Quiz
10 verified answers

Dividing Fractions

Quiz
11 verified answers

Estimating and Finding Decimal Products