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Quizzes > High School Quizzes > Mathematics

Decimal Worksheet Practice Quiz

Boost math skills with targeted decimal drills

Difficulty: Moderate
Grade: Grade 4
Study OutcomesCheat Sheet
Colorful paper art promoting Decimal Mastery, a middle school decimal practice quiz.

What is the place value of the digit 7 in the decimal number 3.725?
Hundredths
Tenths
Ones
Thousandths
In the number 3.725, the digit immediately to the right of the decimal point is in the tenths place. This position represents one-tenth of a unit.
Which decimal is equivalent to the fraction 1/2?
0.2
0.5
0.25
0.8
Dividing 1 by 2 results in 0.5. This is a common conversion from fraction to decimal.
What is the value of 0.75 when expressed as a percentage?
75%
7.5%
0.75%
750%
Multiplying 0.75 by 100 converts it to 75%. This conversion is a key skill in understanding decimals and percentages.
What is the simplified form of the decimal 4.30?
4.30
4.3
4.03
43
Trailing zeros after the decimal point do not change the value of a number. Thus, 4.30 simplifies to 4.3.
Which decimal is greater: 0.8 or 0.75?
0.75 is greater
They are equal
0.8 is greater
Not enough information
By expressing 0.8 as 0.80, it is clear that 80 hundredths are greater than 75 hundredths. Therefore, 0.8 is greater than 0.75.
Round 3.456 to the nearest tenth.
3.4
3.5
3.46
3.45
To round to the nearest tenth, look at the hundredths digit. Since the hundredths digit is 5, the tenths digit rounds up, resulting in 3.5.
What is the sum of 2.5 and 3.75?
6.25
5.25
6.15
7.25
By aligning the decimal points, 2.5 and 3.75 add up to 6.25. This simple addition reinforces the proper handling of decimal numbers.
Which of the following decimals is the smallest: 0.59, 0.605, 0.56, or 0.65?
0.59
0.605
0.56
0.65
When expressed to the same number of decimal places, 0.56 is equivalent to 0.560, which is less than 0.590, 0.605, and 0.65. This confirms that 0.56 is the smallest.
Convert the fraction 3/4 to a decimal.
0.7
0.75
0.8
0.85
Dividing 3 by 4 yields 0.75, making it the decimal equivalent. This conversion is a fundamental skill in working with fractions and decimals.
Which of the following decimals represents a value between 0.3 and 0.4?
0.25
0.35
0.45
0.5
The decimal 0.35 falls between 0.3 and 0.4, while the other options lie outside this range. Recognizing numerical intervals is a key aspect of decimal comparison.
Subtract 1.8 from 5.25.
3.35
3.45
3.55
3.65
After aligning decimals (treating 1.8 as 1.80), subtracting 1.80 from 5.25 gives 3.45. This reinforces proper subtraction techniques with decimal numbers.
Which of the following decimals is equivalent to 1/5?
0.2
0.15
0.25
0.5
The fraction 1/5 simplifies to 0.2 when converted to a decimal. This conversion is an essential skill in understanding relationships between fractions and decimals.
If you add 0.65 to 0.35, what is the result?
0.90
1.0
1.05
1.1
The sum of 0.65 and 0.35 is exactly 1.0 when decimals are correctly aligned and added. This problem tests basic addition with decimals.
What is the value of the digit 5 in the decimal 0.857?
0.5
0.05
5
50
In the decimal 0.857, the digit 5 is located in the hundredths place, giving it a value of 0.05. Understanding place value is crucial when working with decimals.
Which operation correctly describes the process: 2.3 x 10 is equal to 23?
Division
Multiplication by 10
Addition of 10
Subtraction of 10
Multiplying 2.3 by 10 shifts the decimal point one place to the right, transforming 2.3 into 23. This demonstrates the effect of scaling a decimal number by a power of ten.
A store sold 3.75 meters of fabric and then 2.8 meters more. What is the total length of fabric sold?
6.55
6.45
7.55
5.95
By aligning the decimal points (considering 2.8 as 2.80), adding 3.75 and 2.80 gives a total of 6.55 meters. This problem applies addition of decimals in a real-world context.
Round 12.987 to the nearest whole number.
12
13
14
12.9
Since the decimal part 0.987 is greater than 0.5, the number rounds up to 13. This follows standard rules for rounding to the nearest whole number.
Express the decimal 0.375 as a simplified fraction.
3/8
3/7
5/8
1/3
Converting 0.375 to a fraction gives 375/1000, which simplifies to 3/8 after dividing by 125. This conversion is a useful skill in comparing fractions and decimals.
A recipe requires 0.5 cups of sugar for each serving. How many cups of sugar are needed for 7.2 servings?
3.6
3.2
4.6
4.0
Multiplying 0.5 cups by 7.2 servings yields 3.6 cups. This problem demonstrates scaling measurements in a recipe using decimal multiplication.
The measured length of a rod is 5.874 meters. If the measurement uncertainty is ±0.005 meters, what is the maximum possible value of the rod's length when rounded to three decimal places?
5.874
5.879
5.880
5.869
Adding the uncertainty of 0.005 to 5.874 gives 5.879. When rounded to three decimal places, the value remains 5.879, making it the maximum possible length.
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Study Outcomes

  1. Understand the concept of decimal place value.
  2. Apply rounding techniques to decimals.
  3. Analyze and compare decimal values.
  4. Solve arithmetic problems involving decimals.
  5. Evaluate real-world scenarios using decimals.

Decimal Worksheet Practice Cheat Sheet

  1. Understand decimal place values - Every digit in a decimal number has a special home - tenths, hundredths, thousandths, and beyond. Mastering these spots makes reading, writing, and comparing decimals a breeze! Introduction to Decimals
    2. openstax.org
  2. Convert fractions to decimals - Turn any fraction into a decimal by dividing the top number (numerator) by the bottom (denominator). It's like magic: 1 ÷ 2 instantly becomes 0.5! Fractions & Decimals
    3. learner.org
  3. Add and subtract decimals - Line up those decimal points vertically, then add or subtract digit by digit. Proper alignment keeps tenths with tenths and hundredths with hundredths - no your calculator doesn't do that for you! Introduction to Decimals
    4. openstax.org
  4. Multiply decimals - Multiply as if they're whole numbers, then count all decimal places in your factors to position the decimal in the product. It's like stacking blocks and then placing the decimal at the top! Introduction to Decimals
    5. openstax.org
  5. Divide decimals - Shift the decimal in the divisor to the right until it's a whole number, then do the same shift in the dividend. Now divide normally - problem solved and decimals tamed! Introduction to Decimals
    6. openstax.org
  6. Round decimals - Look at the digit right after the place you want to round. If it's 5 or higher, round up; if it's 4 or lower, round down. Voila - your number is now neat and tidy! Decimals Summary
    7. sparknotes.com
  7. Compare decimals - Line up decimal points and compare digits from left to right, just like reading a sentence. The first difference you spot tells you which decimal is bigger or smaller! Decimals Summary
    8. sparknotes.com
  8. Terminating vs. repeating decimals - Some fractions end neatly (1/4 = 0.25), while others go on forever in a pattern (1/3 = 0.333…). Spotting which is which helps you know how to work with them! Fractions & Decimals
    9. learner.org
  9. Use number lines for visualization - Plot decimals on a number line to see their relative sizes - just like plotting points on a map. This visual trick cements your sense of where each decimal belongs! Number Line Models
    10. decimalsquares.com
  10. Apply decimals in real life - From shopping totals to measuring ingredients or calculating percentages, decimals pop up everywhere. Practicing with real scenarios makes math stick and shows you why decimals rock! Decimal Activities
    11. education.com
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