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Quizzes > High School Quizzes > Mathematics

Decimal Test: Practice Quiz

Improve your decimal skills with engaging drills

Difficulty: Moderate
Grade: Grade 5
Study OutcomesCheat Sheet
Colorful paper art promoting Decimal Demystified, a middle school decimal quiz.

Which of the following decimals is equivalent to 1/2?
0.2
0.5
1.5
0.05
1/2 is equal to 0.5 because dividing 1 by 2 gives 0.5. The other options do not represent one-half.
In the number 7.89, which digit is in the tenths place?
7
9
None of the above
8
The digit immediately following the decimal point is in the tenths place. In 7.89, the digit 8 is in the tenths place and 9 is in the hundredths place.
What is the value of the digit 2 in the decimal number 0.25?
Two ones
Two-hundredths
Two-tenths
Two-thousandths
In 0.25, the digit 2 is in the tenths position, meaning it represents 2/10 or two-tenths. The digit 5 occupies the hundredths place.
Which of the following decimals is the smallest?
0.05
0.5
0.15
0.51
0.05 is the smallest because it represents five hundredths, which is less than the value represented by the other options. Comparing decimals involves carefully noting the place values.
When rounding 0.46 to the nearest tenth, what is the correct result?
0.46
0.4
0.45
0.5
To round to the nearest tenth, you check the hundredths digit; since 6 is 5 or greater, 0.46 rounds up to 0.5. This method confirms that 0.5 is the correct result.
What is 0.3 + 0.25?
0.55
0.45
0.53
0.50
When adding decimals, align the decimal points and add each place value separately. Converting 0.3 to 0.30 allows us to add 0.30 and 0.25 to get a sum of 0.55.
Subtract 0.47 from 1.03. What is the result?
0.54
0.56
0.66
0.46
Subtracting decimals involves lining up the decimal points accurately. By subtracting 0.47 from 1.03, you obtain 0.56 as the correct answer.
What is the product of 0.6 and 0.3?
0.15
0.11
0.2
0.18
Multiplying decimals involves multiplying as if they were whole numbers and then placing the decimal point in the product. Since 0.6 (one decimal place) times 0.3 (one decimal place) gives 0.18, this is the correct answer.
Divide 0.81 by 0.9. What is the quotient?
0.9
1.1
0.81
0.91
Dividing decimals can be simplified by eliminating the decimal points temporarily. Since 0.9 multiplied by 0.9 equals 0.81, dividing 0.81 by 0.9 results in a quotient of 0.9.
Compare 0.75 and 0.8. Which is greater?
They are equal
Cannot be determined
0.75 is greater
0.8 is greater
It is often helpful to write decimals with the same number of digits when comparing them. Here, 0.75 is the same as 0.750 and, when compared to 0.8 (or 0.800), it is clear that 0.8 is greater.
Which decimal represents the sum of 0.2 and 0.06?
0.20
0.25
0.28
0.26
When adding decimals, it is important to align the decimal points correctly. By treating 0.2 as 0.20 and adding 0.06, the sum is 0.26.
Round 3.276 to the nearest hundredth.
3.30
3.29
3.28
3.27
To round to the nearest hundredth, examine the thousandth digit. Since the thousandth digit is 6, which is 5 or greater, the hundredth digit is increased by one, making the correct rounded value 3.28.
Express the fraction 3/4 as a decimal.
0.74
0.75
0.65
0.8
Converting a fraction to a decimal involves dividing the numerator by the denominator. Dividing 3 by 4 yields 0.75, which is the correct decimal representation.
What is the decimal equivalent of 25%?
2.5
0.025
0.25
0.125
25% means 25 out of 100, which can be written as 25/100. Simplifying this fraction results in 0.25, which is the correct decimal equivalent.
If you add 1.2 and 0.34, what is the correct sum?
1.52
1.54
1.44
1.56
When adding decimals, it is essential to line up the decimal points. By writing 1.2 as 1.20, adding 0.34 results in a sum of 1.54.
Solve: (0.75 × 0.4) + (0.6 ÷ 0.2). Determine the final result.
3.3
3.6
4.3
3.0
This problem requires you to perform multiplication and division before adding the results. Multiplying 0.75 by 0.4 gives 0.3 and dividing 0.6 by 0.2 yields 3; their sum is 3.3.
Convert 0.375 to a fraction in simplest form.
3/8
3/7
1/3
5/8
Start by writing 0.375 as 375/1000. When you simplify this fraction by dividing the numerator and denominator by 125, you obtain 3/8.
Determine the result of 2.5 - 0.73, and round your answer to the nearest hundredth.
1.87
1.77
1.67
1.78
To subtract decimals, first align the decimal points by treating 2.5 as 2.50. Subtracting 0.73 from 2.50 gives 1.77, which is already rounded to the nearest hundredth.
If a digit 1 is in the thousandths position of a decimal number, what is its value?
0.01
1
0.001
0.1
The thousandths position is three places to the right of the decimal point. Therefore, a digit 1 in that position represents 1/1000, which equals 0.001.
A number is increased by 20% when written as a decimal. If the original number is 0.50, what is the new value?
0.65
0.70
0.60
0.55
Increasing a number by 20% means adding 20% of the original value to itself. For 0.50, 20% is 0.10, so the new value is 0.50 + 0.10 = 0.60.
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Study Outcomes

  1. Understand the concept of place value in decimals.
  2. Compare and order decimal numbers accurately.
  3. Convert between decimals and fractions effectively.
  4. Apply rounding techniques to estimate decimal values.
  5. Solve basic mathematical problems using decimal operations.

Decimal Test Practice Cheat Sheet

  1. Understand decimal place values - Think of each decimal place as slices of a pizza getting smaller: tenths, hundredths, and thousandths. In 0.456, the 4 sits in the tenths spot, the 5 in hundredths, and the 6 in thousandths. Mastering these positions helps you read, write, and compare any decimal like a pro. Math Salamanders
  2. Practice comparing decimals - Always line up the decimal points and compare digits from left to right, just like reading a book. For instance, 0.75 is greater than 0.7 because when you think of them as 75 and 70, it's an instant win for .75. With a few quick checks, you'll be ranking decimals in no time. EZSchool
  3. Learn to round decimals - Focus on the digit right of your rounding spot, then decide if you stay or go up. For example, 3.456 rounded to the nearest tenth becomes 3.5 because the 5 in the hundredths place gives it a boost. This trick makes estimating fast and fun when you're in a hurry. Teachervision
  4. Master adding and subtracting decimals - Line up decimal points like train cars and add zeros to fill any empty spots. So 2.3 + 0.45 becomes 2.30 + 0.45, making adding the columns a breeze. You'll be solving money and measurement problems without breaking a sweat. GreatSchools
  5. Practice multiplying decimals - Ignore the decimal points at first, multiply as if they're whole numbers, then count and place decimals afterward. For example, 1.2 × 0.3 = 36 (from 12×3), so place two decimal spots to get 0.36. It's like a magic trick you can reproduce every time! Education.com
  6. Learn to divide decimals - Shift the decimal in the divisor to make it a whole number and move it the same number of places in your dividend. For example, 4.5 ÷ 0.5 turns into 45 ÷ 5, which equals 9. This method tames even the trickiest decimal divisions. Education.com
  7. Convert fractions to decimals - Simply divide the numerator by the denominator to see the decimal pop up. For instance, 3/4 = 3 ÷ 4 = 0.75, giving you a clear decimal equivalent. Converting back and forth is a handy skill for tests and real life! WorkyBooks
  8. Link decimals and percentages - Multiply any decimal by 100 to turn it into a percent. For example, 0.85 × 100 = 85%, making it super easy to switch between formats. You'll impress friends when you whip out quick percent conversions at the grocery store. Math Center
  9. Solve real‑world decimal problems - Use decimals for money, measurements, and distances to tackle practical scenarios. If an item costs $2.50 and you buy 3, it's simply 2.50 × 3 = $7.50. Real-life practice helps these decimal skills stick like glue. Math For Money
  10. Visualize with number lines - Plot decimals on a number line to see their size compared to whole numbers. For example, placing 0.5 exactly halfway between 0 and 1 shows you it's half. This visual trick sharpens your intuition for where decimals live in the number world. Math Center
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