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Pre-Algebra - Problem Drill 06: Decimals and Equations
Question No. 1 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
1. Round the number to the nearest tenth: 275.183
Question #01
(A) 280
(B) 275.1
(C) 275.2
(D) 275.18
(E) 275.19
A. Incorrect!
You rounded to the nearest ten instead of the nearest tenth.
B. Incorrect!
Review how to round decimal numbers and try again.
Feedback on
Each Answer
Choice
C. Correct!
You rounded up to the nearest tenth.
D. Incorrect!
You rounded to the nearest hundredth instead of the nearest tenth.
E. Incorrect!
Review how to round decimal numbers.
To round 275.183 to the nearest tenth:
1. Find the digit in the tenths place.
275.183
2. Look at the hundredths digit. It is greater than 5.
8>5
3. Round the tenths digit up and drop the digits to the right of it.
275.183 rounded to the nearest tenth is 275.2.
Solution
The correct answer is (C).
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275.2
Question No. 2 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
2. Choose the best estimate of the product: 5.39 × 381.172
Question #02
(A) 386
(B) 488
(C) 1,500
(D) 1,905
(E) 2,292
A. Incorrect!
Round the two numbers to the nearest integer then multiply.
B. Incorrect!
Round the two numbers to the nearest integer then multiply.
Feedback on
Each Answer
Choice
C. Incorrect!
Round the two numbers to the nearest integer then multiply.
D. Correct!
You accurately rounded the two numbers to the nearest integer then multiplied.
E. Incorrect!
Round the two numbers to the nearest integer then multiply.
Round the two numbers to the nearest integer then multiply.
5.39 × 381.172 ≈ 5 × 381
≈ 1,905
The correct answer is (D).
Solution
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Question No. 3 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
3. Choose the best estimate of the quotient: 2,975.81 ÷ 32.47
Question #03
(A) 60
(B) 93
(C) 100
(D) 2,944
(E) 3,008
A. Incorrect!
Round the two numbers to the nearest integer then divide.
B. Correct!
You accurately rounded the two numbers to the nearest integer then divided.
Feedback on
Each Answer
Choice
C. Incorrect!
Round the two numbers to the nearest integer then divide.
D. Incorrect!
Round the two numbers to the nearest integer then divide.
E. Incorrect!
Round the two numbers to the nearest integer then divide.
Round the two numbers to the nearest integer then divide.
2,975.81 ÷ 32.47 ≈ 2,976 ÷ 32
≈ 93
The correct answer is (B).
Solution
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Question No. 4 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
4. Find the mean of the data set.
3.19
Question #04
2.53
8.26
4.75
6.94
2.53
(A) 2.53
(B) 3.97
(C) 4.7
(D) 5.73
(E) There is no mean.
A. Incorrect!
Review how to find the mean of a data set.
B. Incorrect!
Review how to find the mean of a data set.
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Each Answer
Choice
C. Correct!
You added the elements of the data set then divided by 6 to find the mean.
D. Incorrect!
Review how to find the mean of a data set.
E. Incorrect!
Review how to find the mean of a data set.
Add the six elements of the data set then divide by 6 to find the mean.
Mean =
=
3.19 + 2.53 + 8.26 + 4.75 + 6.94 + 2.53
6
28.2
6
= 4.7
The correct answer is (C).
Solution
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Question No. 5 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
5. Find the median of the data set.
17.4
Question #05
13.98
19.5
11.6
15.8
(A) 1.6
(B) 7.9
(C) 15.65
(D) 15.8
(E) 19.2
A. Incorrect!
Review how to find the median of a data set.
B. Incorrect!
Review how to find the median of a data set.
Feedback on
Each Answer
Choice
C. Incorrect!
Review how to find the median of a data set.
D. Correct!
You ordered the data set from least to greatest then found the middle value.
E. Incorrect!
Review how to find the median of a data set.
Order the data set from least to greatest and find the middle number.
11.6
13.98
15.8
17.4
19.5
The correct answer is (D).
Solution
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Question No. 6 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
6. Find the mode of the data set.
8.6
3.2
2.9
4.3
2.9
6.3
(A) 2.9
(B) 3.6
(C) 3.75
(D) 4.7
(E) There is no mode.
Question #06
A. Correct!
You found the number that occurs most often in the data set.
B. Incorrect!
Review how to find the mode of a data set.
Feedback on
Each Answer
Choice
C. Incorrect!
Review how to find the mode of a data set.
D. Incorrect!
Review how to find the mode of a data set.
E. Incorrect!
Review how to find the mode of a data set.
The mode is the number that occurs most often in a data set.
8.6
3.2
2.9
4.3
2.9
6.3
The correct answer is (A).
Solution
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Question No. 7 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
7. Solve the equation: h – 49.32 = 17.56
Question #07
(A) -31.76
(B) 0.36
(C) 2.81
(D) 31.76
(E) 66.88
A. Incorrect!
Add 49.32 to both sides of the equation.
B. Incorrect!
Add 49.32 to both sides of the equation.
Feedback on
Each Answer
Choice
C. Incorrect!
Add 49.32 to both sides of the equation.
D. Incorrect!
Add 49.32 to both sides of the equation.
E. Correct!
You correctly added 49.32 to both sides of the equation.
Add 49.32 to both sides of the equation.
h − 49.32 = 17.56
h − 49.32 + 49.32 = 17.56 + 49.32
h = 66.88
Solution
The correct answer is (E).
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Question No. 8 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
8. Solve the equation: 6.5r = 94.9
Question #08
(A) 0.07
(B) 14.6
(C) 88.4
(D) 101.4
(E) 616.85
A. Incorrect!
Divide both sides of the equation by 6.5.
B. Correct!
You correctly divided both sides of the equation by 6.5.
Feedback on
Each Answer
Choice
C. Incorrect!
Divide both sides of the equation by 6.5.
D. Incorrect!
Divide both sides of the equation by 6.5.
E. Incorrect!
Divide both sides of the equation by 6.5.
Divide both sides of the equation by 6.5.
6.5r = 94.9
6.5r
94.9
=
6.5
6.5
r = 14.6
The correct answer is (B).
Solution
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Question No. 9 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
9. Convert 5,630 grams to kilograms.
Question #09
(A) 56,300
(B) 5,630
(C) 563
(D) 56.3
(E) 5.63
A. Incorrect!
Multiply the given measurement by the conversion factor, 1 kilogram/ (1000
grams).
B. Incorrect!
Multiply the given measurement by the conversion factor, 1 kilogram/ (1000
grams).
Feedback on
Each Answer
Choice
C. Incorrect!
Multiply the given measurement by the conversion factor, 1 kilogram/ (1000
grams).
D. Incorrect!
Multiply the given measurement by the conversion factor, 1 kilogram/ (1000
grams).
E. Correct!
You accurately multiplied the given measurement by the conversion factor, 1
kilogram/ (1000 grams).
Multiply the given measurement by the conversion factor, 1 kilogram/ (1000
grams).
5,630 g = 5,630 x 1 kilogram/ (1000 grams) = 5.63 kg
The correct answer is (E).
Solution
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Question No. 10 of 10
Instructions: (1) Read the problem and answer choices carefully (2) Work the problems on paper as
needed (3) Pick the answer (4) Go back to review the core concept tutorial as needed.
10. Choose the number with five significant digits.
Question #10
(A) 10.007
(B) 26,000
(C) 0.0035
(D) 57,900
(E) 843
A. Correct!
This number contains five significant digits.
B. Incorrect!
Review the definition of significant digits.
Feedback on
Each Answer
Choice
C. Incorrect!
Review the definition of significant digits.
D. Incorrect!
Review the definition of significant digits.
E. Incorrect!
Review the definition of significant digits.
Significant digits are all the nonzero digits and the zeros that are included between
them, or zeros that are at the end that denote accuracy. 10.007 is the only
number that has five significant digits.
The correct answer is (A).
Solution
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