Question 1

Rewrite as a numeral.
-Six million and two tenths

Accepted Answer

A) 600,000.2 
B) 6,000,020 
C) 0.6000020 
D) 6,000,000.2 
A) 600,000.2 
B) 6,000,020 
C) 0.6000020 
D) 6,000,000.2

Question 2

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 27-inch sets that can be bought for $2729.

Accepted Answer

A) 12 
B) 5 
C) 19 
D) 9 
A) 12 
B) 5 
C) 19 
D) 9

Question 3

Rewrite as a numeral.
-Seven hundred thousand and ninety-five ten-thousandths

Accepted Answer

A) 700,095 
B) 700,000.0095 
C) 700,095.0001 
D) 795,000 
A) 700,095 
B) 700,000.0095 
C) 700,095.0001 
D) 795,000

Question 4

Order the decimals from least to greatest.
-0.081, 0.018, 0.011, 0.088

Accepted Answer

A) 0.011, 0.081, 0.018, 0.088 
B) 0.011, 0.088, 0.018, 0.081 
C) 0.011, 0.018, 0.081, 0.088 
D) 0.088, 0.081, 0.018, 0.011 
A) 0.011, 0.081, 0.018, 0.088 
B) 0.011, 0.088, 0.018, 0.081 
C) 0.011, 0.018, 0.081, 0.088 
D) 0.088, 0.081, 0.018, 0.011

Question 5

Write the following as a sum using powers of 10 to show place value.
-540.81

Accepted Answer

A)  $5 \cdot 10 ^ { 3 } + 4 \cdot 10 ^ { 2 } + 0 \cdot 10 ^ { 1 } + 8 \cdot 10 ^ { - 1 } + 1 \cdot 10 ^ { - 2 }$ 
B)  $5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 0 } + 8 \cdot 10 ^ { - 1 } + 1 \cdot 10 ^ { - 2 }$ 
C)  $5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 0 \cdot 10 ^ { 0 } + 8 \cdot 10 ^ { - 1 } + 1 \cdot 10 ^ { - 2 }$ 
D)  $5 \cdot 10 ^ { 1 } + 4 \cdot 10 ^ { 0 } + 8 \cdot 10 ^ { - 1 } + 1 \cdot 10 ^ { - 2 }$ 
A)  $5 \cdot 10 ^ { 3 } + 4 \cdot 10 ^ { 2 } + 0 \cdot 10 ^ { 1 } + 8 \cdot 10 ^ { - 1 } + 1 \cdot 10 ^ { - 2 }$ 
B)  $5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 0 } + 8 \cdot 10 ^ { - 1 } + 1 \cdot 10 ^ { - 2 }$ 
C)  $5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 0 \cdot 10 ^ { 0 } + 8 \cdot 10 ^ { - 1 } + 1 \cdot 10 ^ { - 2 }$ 
D)  $5 \cdot 10 ^ { 1 } + 4 \cdot 10 ^ { 0 } + 8 \cdot 10 ^ { - 1 } + 1 \cdot 10 ^ { - 2 }$

Question 6

$\text { Write the terminating decimal as } \frac { a } { b } \text { in simplest form where } a , b \in I \text { and } b \neq 0 \text {. }$
-0.386

Accepted Answer

A)  $\frac { 1 } { 386 }$ 
B)  $\frac { 193 } { 500 }$ 
C)  $\frac { 193 } { 1000 }$ 
D)  $\frac { 193 } { 250 }$ 
A)  $\frac { 1 } { 386 }$ 
B)  $\frac { 193 } { 500 }$ 
C)  $\frac { 193 } { 1000 }$ 
D)  $\frac { 193 } { 250 }$

Question 7

Rewrite as a terminating decimal.
-$$\frac { 6^8 } { 5 ^ { 5 } }$$

Accepted Answer

A) 0.00032 
B) 0.1088 
C) 0.2176 
D) 0.02176 
A) 0.00032 
B) 0.1088 
C) 0.2176 
D) 0.02176

Question 8

Provide an appropriate response.
-Suppose $x = 0 . \overline { 23 }$ and $y = 0 . \overline { 135 }$. Find $x + y$ by adding from left to right. How many digits are in the repetend of the sum?

Accepted Answer

A)  $0 . \overline { 367 }$; three digits 
B)  $0 . \overline { 365 }$; three digits 
C)  $0.367458$; six digits 
D)  $0 . \overline { 367458 }$; six digits 
A)  $0 . \overline { 367 }$; three digits 
B)  $0 . \overline { 365 }$; three digits 
C)  $0.367458$; six digits 
D)  $0 . \overline { 367458 }$; six digits

Question 9

Rewrite the number or expression as requested.
-$8.859 \cdot 10 ^ { - 5 }$ (Rewrite as a standard numeral.)

Accepted Answer

A)   -885,900 
B)   0.00008859 
C)   0.000008859 
D)   0.0008859 
A)   -885,900 
B)   0.00008859 
C)   0.000008859 
D)   0.0008859

Question 10

Provide an appropriate response.
-What is the 120 th digit after the decimal point in the following repeating decimal? 
$0 . \overline { 042716 }$

Accepted Answer

A)  2 
B)  6 
C)  0 
D)  1 
A)  2 
B)  6 
C)  0 
D)  1

Question 11

Rewrite the number or expression as requested.
-32,000,000,000 (Rewrite in scientific notation.)

Accepted Answer

A)  $3.2 \cdot 10 ^ { 10 }$ 
B)  $3.2 \cdot 10 ^ { - 9 }$ 
C)  $3.2 \cdot 10 ^ { 9 }$ 
D)  $3.2 \cdot 10 ^ { - 10 }$ 
A)  $3.2 \cdot 10 ^ { 10 }$ 
B)  $3.2 \cdot 10 ^ { - 9 }$ 
C)  $3.2 \cdot 10 ^ { 9 }$ 
D)  $3.2 \cdot 10 ^ { - 10 }$

Question 12

Order the decimals from least to greatest.
-5.24, 4.69, 4.96, 5.42

Accepted Answer

A) 4.69, 4.96, 5.24, 5.42 
B) 4.96, 4.69, 5.42, 5.24 
C) 5.42, 5.24, 4.96, 4.69 
D) 4.69, 5.24, 4.96, 5.42 
A) 4.69, 4.96, 5.24, 5.42 
B) 4.96, 4.69, 5.42, 5.24 
C) 5.42, 5.24, 4.96, 4.69 
D) 4.69, 5.24, 4.96, 5.42

Question 13

Mentally determine if the number can be written as a terminating decimal
-$\frac { 1 } { 2 ^ { 4 } }$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 14

Round the number as specified.
-137.08 to the nearest tenth

Accepted Answer

A) 137 
B) 137.0 
C) 137.08 
D) 137.1 
A) 137 
B) 137.0 
C) 137.08 
D) 137.1

Question 15

Solve the problem.
-Evelyn measured two rooms of her apartment and found that she needed 13.1 square meters of wallpaper for one room and 72.4 square meters for the other. How much wallpaper did she need?

Accepted Answer

A)  $95.5 \mathrm {~m} ^ { 2 }$ 
B)  $85.6 \mathrm {~m} ^ { 2 }$ 
C)  $85.5 \mathrm {~m} ^ { 2 }$ 
D)  $171 \mathrm {~m} ^ { 2 }$ 
A)  $95.5 \mathrm {~m} ^ { 2 }$ 
B)  $85.6 \mathrm {~m} ^ { 2 }$ 
C)  $85.5 \mathrm {~m} ^ { 2 }$ 
D)  $171 \mathrm {~m} ^ { 2 }$

Question 16

Convert the repeating decimal to a fraction.
-$0 . \overline { 27 }$

Accepted Answer

A)  $\frac { 3 } { 11 }$ 
B)  $\frac { 10 } { 37 }$ 
C)  $\frac { 1 } { 37 }$ 
D)  $\frac { 30 } { 11 }$ 
A)  $\frac { 3 } { 11 }$ 
B)  $\frac { 10 } { 37 }$ 
C)  $\frac { 1 } { 37 }$ 
D)  $\frac { 30 } { 11 }$

Question 17

Round the number as specified.
-869.393 to the nearest hundred

Accepted Answer

A) 900 
B) 800 
C) 869.4 
D) 870 
A) 900 
B) 800 
C) 869.4 
D) 870

Question 18

Rewrite as a terminating decimal.
-$$\frac { 102 } { 125 }$$

Accepted Answer

A) 0.836 
B) 0.916 
C) 0.816 
D) 0.766 
A) 0.836 
B) 0.916 
C) 0.816 
D) 0.766

Question 19

Solve the problem.
-If the list price is $41.85 and if $7.37 is saved by buying from a discount catalog, what is the discount price for the item?

Accepted Answer

A) $34.48 
B) $49.22 
C) $48.22 
D) $34.58 
A) $34.48 
B) $49.22 
C) $48.22 
D) $34.58

Question 20

Rewrite as a terminating decimal.
-$$\frac { 5 } { 16 }$$

Accepted Answer

A) 0.313 
B) 0.3225 
C) 0.2125 
D) 0.3125 
A) 0.313 
B) 0.3225 
C) 0.2125 
D) 0.3125

Rewrite as a numeral. -Six million and two tenths

Rewrite as a numeral. -Seven hundred thousand and ninety-five ten-thousandths

Order the decimals from least to greatest. -0.081, 0.018, 0.011, 0.088

Write the following as a sum using powers of 10 to show place value. -540.81

$\text { Write the terminating decimal as } \frac { a } { b } \text { in simplest form where } a , b \in I \text { and } b \neq 0 \text {. }$ -0.386

Rewrite as a terminating decimal. - $\frac { 6^8 } { 5 ^ { 5 } }$

Provide an appropriate response. -Suppose $x = 0 . \overline { 23 }$ and $y = 0 . \overline { 135 }$ . Find $x + y$ by adding from left to right. How many digits are in the repetend of the sum?

Rewrite the number or expression as requested. - $8.859 \cdot 10 ^ { - 5 }$ (Rewrite as a standard numeral.)

Provide an appropriate response. -What is the 120 th digit after the decimal point in the following repeating decimal? $0 . \overline { 042716 }$

Rewrite the number or expression as requested. -32,000,000,000 (Rewrite in scientific notation.)

Order the decimals from least to greatest. -5.24, 4.69, 4.96, 5.42

Mentally determine if the number can be written as a terminating decimal - $\frac { 1 } { 2 ^ { 4 } }$

Round the number as specified. -137.08 to the nearest tenth

Solve the problem. -Evelyn measured two rooms of her apartment and found that she needed 13.1 square meters of wallpaper for one room and 72.4 square meters for the other. How much wallpaper did she need?

Convert the repeating decimal to a fraction. - $0 . \overline { 27 }$

Round the number as specified. -869.393 to the nearest hundred

Rewrite as a terminating decimal. - $\frac { 102 } { 125 }$

Solve the problem. -If the list price is $41.85 and if $7.37 is saved by buying from a discount catalog, what is the discount price for the item?

Rewrite as a terminating decimal. - $\frac { 5 } { 16 }$

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