# Hardest Decimal Problems With Answers Quiz

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Catherinehalcomb
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Quizzes Created: 1509 | Total Attempts: 5,237,716
Questions: 15 | Attempts: 1,077  Settings  How good you're at solving decimal questions? Take up the hardest decimal problems with answers quiz and check your knowledge regarding the same. It consists of every type of question, including decimal word problems. A decimal is a standard number system used for denoting integral and non-integral numbers. Do you think you can score well here on this quiz? Give it a try and see whether your math is really strong or you still need some practice. All the best, buddy!

• 1.

### What is "ten and forty-one thousandths" in standard form and expanded form? (You must choose 2 answers below)

• A.

10.041

• B.

10 + 40 + .01

• C.

10 + .04 + .001

• D.

10.41

A. 10.041
C. 10 + .04 + .001
Explanation
The number "ten and forty-one thousandths" can be written in standard form as 10.041. In expanded form, it can be expressed as 10 + .04 + .001.

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• 2.

### What is 12 + 0.2 + 0.005 in standard form?

• A.

12.05

• B.

12.2005

• C.

12.205

• D.

12.055

C. 12.205
Explanation
The standard form of a number is a way of writing it as a decimal number between 1 and 10, multiplied by a power of 10. In this case, 12 + 0.2 + 0.005 can be written as 12.205 in standard form, since it is equal to 1.2205 x 10^1.

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• 3.

### What is 0.0472 in expanded form?

• A.

0.04 + 0.007 + 0.0002

• B.

0.004 + 0.007 + 0.002

• C.

0.04 + 0.007 + 0.00002

• D.

0.04 + 0.0007 + 0.00002

A. 0.04 + 0.007 + 0.0002
Explanation
The expanded form of 0.0472 is 0.04 + 0.007 + 0.0002. This means that 0.0472 can be broken down into the sum of 0.04 (representing forty hundredths), 0.007 (representing seven thousandths), and 0.0002 (representing two ten-thousandths).

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• 4.

### Order from Greatest to Least: 32.525  and 32.5254 and 31.6257

• A.

32.525, 32.5254, 31.6257

• B.

32.5254, 32.525, 31.6257

• C.

31.6257, 32.525, 32.5254

• D.

None

C. 31.6257, 32.525, 32.5254
Explanation
The correct answer is 31.6257, 32.525, 32.5254. This is because when ordering numbers from greatest to least, we start by comparing the first decimal place. In this case, 31.6257 has the highest value in the first decimal place, followed by 32.525 and 32.5254. Since the first decimal place determines the order, the rest of the numbers are irrelevant in this case.

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• 5.

### Order from Least to Greatest: 15.25 and 15.2 and 15.5

• A.

15.2, 15.25, 15.5

• B.

15.25, 15.2, 15.5

• C.

15.5, 15.25, 15.2

• D.

None

A. 15.2, 15.25, 15.5
Explanation
The given numbers are 15.25, 15.2, and 15.5. When arranging these numbers from least to greatest, we start by comparing the whole numbers. Since all the numbers have the same whole number part (15), we move on to comparing the decimal parts. The decimal part of 15.2 is smaller than 15.25, so 15.2 comes first. Next, we compare 15.25 and 15.5. The decimal part of 15.25 is smaller than 15.5, so 15.25 comes before 15.5. Therefore, the correct order from least to greatest is 15.2, 15.25, 15.5.

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• 6.

### What is the value of the underlined digit? 17.53703

• A.

Three tenths

• B.

Three hundredths

• C.

Three thousandths

• D.

Thirty thousands

B. Three hundredths
Explanation
The underlined digit in the number 17.53703 is 3. It is located two places to the right of the decimal point. In decimal notation, each place value to the right of the decimal point represents a power of 10. The first digit to the right of the decimal point is in the tenths place, the second digit is in the hundredths place, and the third digit is in the thousandths place. Therefore, the value of the underlined digit is three hundredths.

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• 7.

### What is the value of the underlined digit? 0.000598

• A.

Five hundredths

• B.

Five ten thousandths

• C.

Five thousandths

• D.

Five tenths

B. Five ten thousandths
Explanation
The underlined digit in the number 0.000598 is 5. This digit is in the position of ten thousandths, which means it represents a value that is 5 times smaller than thousandths.

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• 8.

### N - 52 = 71 What is n?

• A.

N = 123

• B.

N = 19

• C.

N = 210

• D.

N = 120

A. N = 123
Explanation
The given equation states that n minus 52 equals 71. To find the value of n, we need to isolate n on one side of the equation. By adding 52 to both sides, we get n equals 123. Therefore, the correct answer is n = 123.

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• 9.

### 83 + n = 157 What is n?

• A.

N = 123

• B.

N = 74

• C.

N = 240

• D.

N = 213

B. N = 74
Explanation
To find the value of n, we need to subtract 83 from 157. 157 - 83 = 74. Therefore, n = 74.

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• 10.

### Estimate: 8.456 + 7.903

• A.

8.5 + 7.9

• B.

8.4 + 7.9

• C.

8.45 + 7.9

• D.

8.4 + 7.3

A. 8.5 + 7.9
Explanation
The correct answer is 8.5 + 7.9. This answer is correct because it accurately represents the sum of the given numbers, 8.456 and 7.903. Rounding these numbers to one decimal place, 8.5 and 7.9, gives us the closest estimate of their sum.

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• 11.

### Name 3 numbers between 1.5 and 1.6.

• A.

1.5, 1.6, 1.7

• B.

1.55, 1.58, 1.59

• C.

1.05, 1.06, 1.07

• D.

1.4, 1.45, 1.6

B. 1.55, 1.58, 1.59
Explanation
The given answer, 1.55, 1.58, 1.59, correctly provides three numbers between 1.5 and 1.6. These numbers fall within the given range and are arranged in ascending order.

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• 12.

### What is 2.7 + 0.3?

• A.

3.0

• B.

2.4

• C.

2.10

• D.

2.73

A. 3.0
Explanation
The sum of 2.7 and 0.3 is 3.0.

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• 13.

### What is 6 - 0.4?

• A.

6.6

• B.

6.4

• C.

5.6

• D.

0.6

C. 5.6
Explanation
To find the result of subtracting 0.4 from 6, we simply subtract the two numbers. 6 - 0.4 equals 5.6.

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• 14.

### 5.35 - m, where m = 4.7612

• A.

0.5888

• B.

0.58

• C.

0.588

• D.

0.5

A. 0.5888
Explanation
The given expression is 5.35 - m, where m = 4.7612. To find the value of the expression, we substitute the value of m into the expression. Therefore, 5.35 - 4.7612 = 0.5888.

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• 15.

### Logan wants a new bike. The bike costs \$135.00. He currently has \$14.83 in savings, and added \$15.35 and \$32.50 more to his savings account. How much more does he need to buy the bike?

• A.

\$110.83

• B.

\$72.32

• C.

\$97.16

• D.

\$10.34 Back to top