Solving Problems Involving Rational Numbers Answers

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Which number is rational?

A
–2.1010010001...
B
–0.8974512...
C
1.2547569...
D
5.3333333...
4

Shalina wants to write as a decimal. Which method could she use?

Question illustration
A
Divide 6 by 2.
B
Divide 2 by 6.
C
Multiply 6 by 2.
D
Multiply 2 by 6.
7

Which of the following repeating decimals is equivalent to ?

Question illustration
A
Negative 5.ModifyingAbove 91 with bar
Option A
B
Negative 5.ModifyingAbove 9 with bar
Option B
C
Negative 5.ModifyingAbove 19 with bar
Option C
D
Negative 5. ModifyingAbove 1 with bar
Option D
8

Use the number line to answer the question. Which statement about graphing rational numbers is true?

Question illustration
A
The graphs of all rational numbers will be to the right of point B.
B
The graphs of all rational numbers will be to the left of point B.
C
Point D does not represent a rational number.
D
All of the points on the graph could represent rational numbers.
9

Which of the following terminating decimals is equivalent to ?

Question illustration
A
0.250
B
0.375
C
0.380
D
0.830
11

Which number is the additive inverse of ?

Question illustration
A
Negative 4 and one-fourth
Option A
B
Negative one-fourth
Option B
C
One-fourth
Option C
D
4 and one-fourth
Option D
12

Holly says 4.131131113... is a rational number. Which of the following best describes whether Holly is correct and why??

A
Holly is correct. Repeating decimals are always rational numbers.
B
Holly is correct. The number is positive and all positive numbers are rational.
C
Holly is incorrect. The decimal does not terminate, so it cannot be a rational number.
D
Holly is incorrect. The decimal part follows a pattern but does not actually repeat.
13

Kailey correctly graphed the opposite of –3.3 on the number line. Which point could be the point Kailey graphed?

Question illustration
A
A
B
B
C
C
D
D
14

The diameter of a regulation soccer ball is about inches. This number was graphed on a number line. Which point could be the point representing the graph of the diameter of the ball?

Question illustration
A
A
B
B
C
C
D
D
15

What is the simplified value of the expression below?

Question illustration
A
9.43
B
17.63
C
28.29
D
73.49
16

Vanessa is creating centerpieces for a reception. Each centerpiece will consist of eight flowers arranged around one candle. Vanessa will create 20 of these centerpieces. Each candle costs $6.00, and each flower costs $1.50. What is the final cost of the centerpieces?

A
$120.00
B
$240.00
C
$360.00
D
$480.00
17

Arnold needs to simplify the expression below.Which operation should he perform first?

Question illustration
A
7 divided by 6
Option A
B
0.5 times 7
Option B
C
8.2 minus 0.5
Option C
D
3 + 11
Option D
18

What is the simplified value of the expression below?

Question illustration
A
–3.5
B
–2.4
C
2.4
D
3.5
19

Leticia simplified an expression. Her work is shown below. Step 1Step 2Step 3Step 432In which step did Leticia make her first mistake?

Question illustration
A
step 1
B
step 2
C
step 3
D
step 4
20

A recipe shows that the yeast needed for a bread recipe is ounces. Which of the following decimals is equivalent to this number?

Question illustration
A
2.13
Option A
B
2.3
Option B
C
2.ModifyingAbove 3 with bar
Option C
D
3.2
Option D

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