Question 1

Convert the repeating decimal to a fraction.
-$0 . \overline { 67 }$

Accepted Answer

A)  $\frac { 67 } { 99 }$ 
B)  $\frac { 670 } { 99 }$ 
C)  $\frac { 670 } { 999 }$ 
D)  $\frac { 67 } { 999 }$ 
A)  $\frac { 67 } { 99 }$ 
B)  $\frac { 670 } { 99 }$ 
C)  $\frac { 670 } { 999 }$ 
D)  $\frac { 67 } { 999 }$ A

Question 2

$\text { Write the terminating decimal as } \frac { a } { b } \text { in simplest form where } a , b \in I \text { and } b \neq 0 \text {. }$
-6.95

Accepted Answer

A)  $\frac { 139 } { 20 }$ 
B)  $\frac { 139 } { 10 }$ 
C)  $\frac { 1 } { 695 }$ 
D)  $\frac { 139 } { 40 }$ 
A)  $\frac { 139 } { 20 }$ 
B)  $\frac { 139 } { 10 }$ 
C)  $\frac { 1 } { 695 }$ 
D)  $\frac { 139 } { 40 }$ A

Question 3

Rewrite as a terminating decimal.
-$$\frac { 7 } { 8 }$$

Accepted Answer

A) 0.865 
B) 0.765 
C) 0.875 
D) 0.965 
A) 0.865 
B) 0.765 
C) 0.875 
D) 0.965 C

Question 4

Solve the problem.
-The distance from the downtown station to the last stop on a commuter railroad line is 46.8 miles. The distance between stops is about 3.9 miles. How many stops are there?

Accepted Answer

A) 11 stops 
B) 13 stops 
C) 6 stops 
D) 12 stops 
A) 11 stops 
B) 13 stops 
C) 6 stops 
D) 12 stops

Question 5

Rewrite the number or expression as requested.
-$2.79 \cdot 10 ^ { - 4 }$ (Rewrite as a standard numeral.)

Accepted Answer

A)  0.00279 
B)  0.0000279 
C)  -279,000 
D)  0.000279 
A)  0.00279 
B)  0.0000279 
C)  -279,000 
D)  0.000279

Question 6

Rewrite the number or expression as requested.
-Rewrite the number or expression as requested.
$\left( 16 \cdot 10 ^ { 9 } \right) \div \left( 4 \cdot 10 ^ { 4 } \right)$ (Write the result in scientific notation.)

Accepted Answer

A)  $4 \cdot 10 ^ { 5 }$ 
B)  $8 \cdot 10^{13}$ 
C)  $4 \cdot 10 ^ { 13 }$ 
D)  $8 \cdot 10 ^ { 5 }$ 
A)  $4 \cdot 10 ^ { 5 }$ 
B)  $8 \cdot 10^{13}$ 
C)  $4 \cdot 10 ^ { 13 }$ 
D)  $8 \cdot 10 ^ { 5 }$

Question 7

Write the following as a sum using powers of 10 to show place value.
-6.000622

Accepted Answer

A)  $6 \cdot 10 ^ { 0 } + 6 \cdot 10 ^ { - 1 } + 2 \cdot 10 ^ { - 2 } + 2 \cdot 10 ^ { - 3 }$ 
B)  $6 \cdot 10 ^ { - 1 } + 0 \cdot 10 ^ { 1 } + 0 \cdot 10 ^ { 2 } + 0 \cdot 10 ^ { 3 } + 6 \cdot 10 ^ { 4 } + 2 \cdot 10 ^ { 5 } + 2 \cdot 10 ^ { 6 }$ 
C)  $6 \cdot 10 ^ { 1 } + 6 \cdot 10 ^ { - 1 } + 2 \cdot 10 ^ { - 2 } + 2 \cdot 10 ^ { - 3 }$ 
D)  $6 \cdot 10 ^ { 0 } + 0 \cdot 10 ^ { - 1 } + 0 \cdot 10 ^ { - 2 } + 0 \cdot 10 ^ { - 3 } + 6 \cdot 10 ^ { - 4 } + 2 \cdot 10 ^ { - 5 } + 2 \cdot 10 ^ { - 6 }$ 
A)  $6 \cdot 10 ^ { 0 } + 6 \cdot 10 ^ { - 1 } + 2 \cdot 10 ^ { - 2 } + 2 \cdot 10 ^ { - 3 }$ 
B)  $6 \cdot 10 ^ { - 1 } + 0 \cdot 10 ^ { 1 } + 0 \cdot 10 ^ { 2 } + 0 \cdot 10 ^ { 3 } + 6 \cdot 10 ^ { 4 } + 2 \cdot 10 ^ { 5 } + 2 \cdot 10 ^ { 6 }$ 
C)  $6 \cdot 10 ^ { 1 } + 6 \cdot 10 ^ { - 1 } + 2 \cdot 10 ^ { - 2 } + 2 \cdot 10 ^ { - 3 }$ 
D)  $6 \cdot 10 ^ { 0 } + 0 \cdot 10 ^ { - 1 } + 0 \cdot 10 ^ { - 2 } + 0 \cdot 10 ^ { - 3 } + 6 \cdot 10 ^ { - 4 } + 2 \cdot 10 ^ { - 5 } + 2 \cdot 10 ^ { - 6 }$

Question 8

Estimate an answer to the problem.
-An advertisement states that television sets are on sale at B&G Electronics. The sale prices are: 13-inch set, $147.99; 19-inch set, $201.95; 21-inch set, $231.99; 27-inch set, $299.97; 50-inch set, $502.97. Estimate the approximate number of 19-inch sets that can be bought for $2037.

Accepted Answer

A) 10 
B) 15 
C) 13 
D) 8 
A) 10 
B) 15 
C) 13 
D) 8

Question 9

Rewrite the following in its equivalent decimal form.
-$2 \cdot 10 ^ { - 1 } + 4 \cdot 10 ^ { - 4 } + 9 \cdot 10 ^ { - 5 } + 9 \cdot 10 ^ { - 6 }$

Accepted Answer

A)  $2.000499$ 
B)  $2.00499$ 
C)  200,499 
D)  $0.200499$ 
A)  $2.000499$ 
B)  $2.00499$ 
C)  200,499 
D)  $0.200499$

Question 10

Solve the problem.
-Jake has a cable that is 51 feet long. He wants to cut it into pieces that are 8.5 feet long. How many 8.5-foot pieces will he get from the cable?

Accepted Answer

A) 60 pieces 
B) 5 pieces 
C) 7 pieces 
D) 6 pieces 
A) 60 pieces 
B) 5 pieces 
C) 7 pieces 
D) 6 pieces

Question 11

Solve the problem.
-The pharmacist mixed 7.53 grams of one drug with 3.618 grams of another drug. What was the weight of the mixture?

Accepted Answer

A) 7.236 g 
B) 15.06 g 
C) 11.148 g 
D) 12.248 g 
A) 7.236 g 
B) 15.06 g 
C) 11.148 g 
D) 12.248 g

Question 12

Solve the problem.
-It took three assembly-line workers 7.25 seconds, 7.495 seconds, and 6.7 seconds to assemble a product. How many seconds in all did they work?

Accepted Answer

A) 6.945 sec. 
B) 21.445 sec. 
C) 14.745 sec. 
D) 13.95 sec. 
A) 6.945 sec. 
B) 21.445 sec. 
C) 14.745 sec. 
D) 13.95 sec.

Question 13

Estimate an answer to the problem.
-An advertisement states that television sets are on sale at B&G Electronics. The sale prices are: 13-inch set, $147.99; 19-inch set, $208.95; 21-inch set, $231.99; 27-inch set, $289.97; 50-inch set, $519.97. Estimate to the nearest ten how much more a 50-inch set costs than a 21-inch set.

Accepted Answer

A) $300 
B) $270 
C) $290 
D) $280 
A) $300 
B) $270 
C) $290 
D) $280

Question 14

Solve the problem.
-John earns $9.51 per hour. If he works 13 hours, how much will he earn?

Accepted Answer

A) $123.64 
B) $123.63 
C) $123.73 
D) $124.73 
A) $123.64 
B) $123.63 
C) $123.73 
D) $124.73

Question 15

Rewrite the following in its equivalent decimal form.
-$$2 + 7 \cdot 10 ^ { - 4 } + 3 \cdot 10 ^ { - 5 } + 7 \cdot 10 ^ { - 6 }$$

Accepted Answer

A)  $0.2000737$ 
B)  $737000.2$ 
C)  $2.000737$ 
D)  $0.200737$ 
A)  $0.2000737$ 
B)  $737000.2$ 
C)  $2.000737$ 
D)  $0.200737$

Question 16

Order the decimals from least to greatest.
-3.09, 3.9, 3.099, 3.999

Accepted Answer

A) 3.999, 3.9, 3.099, 3.09 
B) 3.09, 3.099, 3.9, 3.999 
C) 3.099, 3.09, 3.999, 3.9 
D) 3.09, 3.9, 3.099, 3.999 
A) 3.999, 3.9, 3.099, 3.09 
B) 3.09, 3.099, 3.9, 3.999 
C) 3.099, 3.09, 3.999, 3.9 
D) 3.09, 3.9, 3.099, 3.999

Question 17

Round the number as specified.
-717.686 to the nearest unit

Accepted Answer

A) 717.7 
B) 717 
C) 717.69 
D) 718 
A) 717.7 
B) 717 
C) 717.69 
D) 718

Question 18

Rewrite as a numeral.
-Six hundred eighty-four thousandths

Accepted Answer

A) 0.0684 
B) 680.004 
C) 0.684 
D) 684,000 
A) 0.0684 
B) 680.004 
C) 0.684 
D) 684,000

Question 19

Write the fraction in decimal notation.
-$\frac { 8 } { 15 }$

Accepted Answer

A)  $0.5 \overline { 1 }$ 
B)  $0.5 \overline { 3 }$ 
C)  $0.5 \overline { 6 }$ 
D)  $0.4 \overline { 3 }$ 
A)  $0.5 \overline { 1 }$ 
B)  $0.5 \overline { 3 }$ 
C)  $0.5 \overline { 6 }$ 
D)  $0.4 \overline { 3 }$

Question 20

Write the following as a sum using powers of 10 to show place value.
-0.027

Accepted Answer

A)  $0 \cdot 10 ^ { 0 } + 0 \cdot 10 ^ { 1 } + 2 \cdot 10 ^ { 2 } + 7 \cdot 10 ^ { 3 }$ 
B)  $0 \cdot 10 ^ { 1 } + 0 \cdot 10 ^ { 2 } + 2 \cdot 10 ^ { 3 } + 7 \cdot 10 ^ { 4 }$ 
C)  $0 \cdot 10 ^ { 0 } + 2 \cdot 10 ^ { - 1 } + 7 \cdot 10 ^ { - 2 }$ 
D)  $0 \cdot 10 ^ { 0 } + 0 \cdot 10 ^ { - 1 } + 2 \cdot 10 ^ { - 2 } + 7 \cdot 10 ^ { - 3 }$ 
A)  $0 \cdot 10 ^ { 0 } + 0 \cdot 10 ^ { 1 } + 2 \cdot 10 ^ { 2 } + 7 \cdot 10 ^ { 3 }$ 
B)  $0 \cdot 10 ^ { 1 } + 0 \cdot 10 ^ { 2 } + 2 \cdot 10 ^ { 3 } + 7 \cdot 10 ^ { 4 }$ 
C)  $0 \cdot 10 ^ { 0 } + 2 \cdot 10 ^ { - 1 } + 7 \cdot 10 ^ { - 2 }$ 
D)  $0 \cdot 10 ^ { 0 } + 0 \cdot 10 ^ { - 1 } + 2 \cdot 10 ^ { - 2 } + 7 \cdot 10 ^ { - 3 }$

Convert the repeating decimal to a fraction. - $0 . \overline { 67 }$

$\text { Write the terminating decimal as } \frac { a } { b } \text { in simplest form where } a , b \in I \text { and } b \neq 0 \text {. }$ -6.95

Rewrite as a terminating decimal. - $\frac { 7 } { 8 }$

Solve the problem. -The distance from the downtown station to the last stop on a commuter railroad line is 46.8 miles. The distance between stops is about 3.9 miles. How many stops are there?

Rewrite the number or expression as requested. - $2.79 \cdot 10 ^ { - 4 }$ (Rewrite as a standard numeral.)

Rewrite the number or expression as requested. -Rewrite the number or expression as requested. $\left( 16 \cdot 10 ^ { 9 } \right) \div \left( 4 \cdot 10 ^ { 4 } \right)$ (Write the result in scientific notation.)

Write the following as a sum using powers of 10 to show place value. -6.000622

Rewrite the following in its equivalent decimal form. - $2 \cdot 10 ^ { - 1 } + 4 \cdot 10 ^ { - 4 } + 9 \cdot 10 ^ { - 5 } + 9 \cdot 10 ^ { - 6 }$

Solve the problem. -Jake has a cable that is 51 feet long. He wants to cut it into pieces that are 8.5 feet long. How many 8.5-foot pieces will he get from the cable?

Solve the problem. -The pharmacist mixed 7.53 grams of one drug with 3.618 grams of another drug. What was the weight of the mixture?

Solve the problem. -It took three assembly-line workers 7.25 seconds, 7.495 seconds, and 6.7 seconds to assemble a product. How many seconds in all did they work?

Solve the problem. -John earns $9.51 per hour. If he works 13 hours, how much will he earn?

Rewrite the following in its equivalent decimal form. - $2 + 7 \cdot 10 ^ { - 4 } + 3 \cdot 10 ^ { - 5 } + 7 \cdot 10 ^ { - 6 }$

Order the decimals from least to greatest. -3.09, 3.9, 3.099, 3.999

Round the number as specified. -717.686 to the nearest unit

Rewrite as a numeral. -Six hundred eighty-four thousandths

Write the fraction in decimal notation. - $\frac { 8 } { 15 }$

Write the following as a sum using powers of 10 to show place value. -0.027

An Introduction to Problem Solving

Introduction to Logic and Sets

Numeration Systems and Whole Number Operations

Number Theory

Integers

Rational Numbers and Proportional Reasoning

Real Numbers and Algebraic Thinking

Probability

Data Analysisstatistics: an Introduction

Introductory Geometry

Congruence and Similarity With Constructions

Congruence and Similarity With Transformations

Area, Pythagorean Theorem, and Volume

Filters

Exam 7: Rational Numbers As Decimals and Percents

Convert the repeating decimal to a fraction. - 0.67‾0 . \overline { 67 }0.67

Rewrite as a terminating decimal. - 78\frac { 7 } { 8 }87​