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Quizzes > High School Quizzes > Mathematics

Comparing Decimals Practice Quiz

Master decimal order with engaging worksheets

Difficulty: Moderate
Grade: Grade 4
Study OutcomesCheat Sheet
Paper art for Decimal Comparison Challenge quiz engaging middle school math students.

Which of the following decimals is the greatest: 0.5, 0.8, 0.3, 0.7?
0.5
0.8
0.3
0.7
0.8 is greater than the other decimals because 8 tenths is more than 5, 3, or 7 tenths. This makes it the largest value among the options.
Which of the following decimals is the smallest: 0.6, 0.2, 0.9, 0.4?
0.6
0.2
0.9
0.4
0.2 represents 2 tenths, which is less than 0.6, 0.9, and 0.4. Hence, it is the smallest among the provided options.
Between 0.75 and 0.57, which decimal is larger?
0.75
0.57
They are equal
Cannot determine
0.75 is larger because its tenths digit (7) is greater than 0.57's tenths digit (5). This comparison demonstrates the importance of place value when comparing decimals.
Which of the following decimals is closest in value to 0.5?
0.45
0.60
0.30
0.80
0.45 is nearest to 0.5 with a difference of only 0.05, while the others are further away. This highlights the importance of comparing decimal differences.
What is the place value of the digit 7 in the decimal 0.76?
Ones
Tenths
Hundredths
Thousands
In 0.76, the digit 7 is located immediately after the decimal point, which is the tenths place. Recognizing place values is essential in understanding decimals.
Which decimal comes first in ascending order among these numbers: 0.9, 0.85, 0.75, 0.95?
0.9
0.85
0.75
0.95
0.75 is the smallest among the given decimals and thus comes first in ascending order. Ordering decimals requires comparing the value of each digit in the same place value.
Which decimal is equivalent to the fraction 1/2?
0.5
0.2
0.75
0.25
1/2 is equivalent to 0.5, since it represents half of a whole. The conversion from fraction to decimal confirms the correct representation.
What is 0.3 expressed as a fraction?
3/10
1/3
3/100
1/10
0.3 is equal to 3/10 because the 3 is in the tenths place. Converting decimals to fractions involves using the place value of the last digit.
Which inequality correctly represents the relationship between 0.64 and 0.7?
0.64 < 0.7
0.64 > 0.7
0.64 = 0.7
0.64 ≤ 0.7
0.64 is less than 0.7 since 6 tenths is less than 7 tenths. The correct inequality demonstrates this comparative value.
When comparing the decimals 0.56 and 0.65, which number is greater?
0.56
0.65
They are equal
Comparison is not possible
0.65 is greater than 0.56 because the tenths digit in 0.65 is higher than that of 0.56. This comparison emphasizes the significance of the leftmost differing digit.
Which of these decimals is the smallest: 0.33, 0.3, 0.303, 0.330?
0.33
0.3
0.303
0.330
0.3, which can also be seen as 0.300, is the smallest because the additional digits in the other numbers increase their value. Understanding trailing zeros helps clarify the comparison.
Which fraction is equivalent to the decimal 0.125?
1/8
1/5
1/4
1/2
0.125 is equivalent to 1/8, as dividing 1 by 8 produces exactly 0.125. The other fractions do not yield this decimal value.
Round 0.467 to the nearest tenth.
0.5
0.4
0.46
0.47
0.467 rounds to 0.5 because the digit in the hundredths place is 6, which rounds the tenths digit up. Rounding rules state that if the hundredths digit is 5 or more, the tenths digit increases by one.
What is the sum of 0.25 and 0.5?
0.75
0.65
0.85
0.95
Adding 0.25 and 0.5 gives 0.75. This is done by aligning the decimals and summing the corresponding digits.
Which of the following decimals is terminating rather than repeating?
0.333...
0.142857
0.25
0.666...
0.25 is a terminating decimal because it has a fixed number of digits. The others represent repeating patterns.
Are the decimals 0.990 and 0.99 equal or is one greater than the other?
They are equal
0.990 is greater
0.99 is greater
Cannot determine
Trailing zeros do not affect the numerical value of a decimal, so 0.990 is equal to 0.99. They represent the same value with different presentations.
Among these decimals: 1.005, 1.05, 1.0050, 1.050, which one is the largest?
1.05
1.005
1.0050
1.050
1.05 is the largest because it is greater than 1.005 when compared digit by digit; trailing zeros do not change the values. Understanding place value clarifies this comparison.
Which of the following expressions correctly shows that 0.7 is greater than 0.65?
0.7 > 0.65
0.7 < 0.65
0.7 = 0.65
0.7 ≠ 0.65
The expression 0.7 > 0.65 correctly conveys that 0.7 is greater than 0.65. Using the correct inequality symbol is essential in mathematics.
What is the result of subtracting 0.475 from 0.89?
0.415
0.405
0.425
0.395
To calculate 0.89 - 0.475, align the decimals and subtract to get 0.415. This operation reinforces accurate decimal subtraction techniques.
Why are the decimals 0.50 and 0.5 considered equal?
Because trailing zeros do not change value
Because they have different place values
Because 0.50 is always larger
Because they are approximations
Trailing zeros do not alter the value of a decimal, making 0.50 and 0.5 equal. This concept is important for understanding decimal equivalence.
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Study Outcomes

  1. Understand the place value concepts of decimals.
  2. Compare and order decimals accurately.
  3. Apply strategies to determine greater or lesser decimal values.
  4. Analyze immediate feedback to identify areas for improvement.
  5. Build confidence in handling decimal comparison in test-like scenarios.

Comparing & Ordering Decimals Cheat Sheet

  1. Understand the place value system - Each digit in a decimal number has its own power-packed position, like tenths, hundredths, or thousandths. When you recognize these spots, you can instantly tell which decimal is leading the race. Get the scoop on place values! SplashLearn: Comparing Decimals
  2. Align decimals for comparison - Lining up decimal points vertically is like giving each number its own runway, making it super clear who's ahead. This simple trick helps you compare digits place by place without mixing things up. Perfect alignment = perfect comparisons! Math Is Fun: Ordering Decimals
  3. Compare digits from left to right - Start at the leftmost digit and move right, just like reading a treasure map. The first spot where two decimals differ tells you which one is larger. For example, between 0.52 and 0.53, the hundredths place (2 vs. 3) quickly reveals 0.53 as the winner. SplashLearn: Comparing Decimals
  4. Use zeroes to equalize decimal lengths - Adding zeros to the end of shorter decimals is like giving everyone the same number of running shoes - it doesn't change their speed! Matching lengths makes side-by-side comparisons crystal clear. Bye-bye confusion, hello accuracy! Math Goodies: Ordering Decimals
  5. Practice ordering decimals - Shuffle decimals into ascending or descending order to flex your comparison muscles. Regular drills turn you into a decimal ninja who spots smallest and largest in a flash. Keep at it - consistency is your secret weapon! Corbett Maths: Ordering Decimals Practice
  6. Apply decimals in real-life scenarios - Use your decimal skills to compare prices, measure ingredients, or track statistics. Turning abstract numbers into everyday tasks makes learning stick like glue. Plus, it shows you why decimals are your real-world sidekicks! SplashLearn: Comparing Decimals
  7. Utilize online quizzes and worksheets - Interactive quizzes give instant feedback, turning mistakes into aha moments. Mix and match worksheets to tackle every decimal twist and turn. The more you play, the sharper your skills become! Math Salamanders: Ordering Decimals
  8. Understand the role of negative decimals - Negative decimals live on the left side of zero and are always smaller than positives. Among themselves, the one with the bigger absolute value wears the "smallest" crown. It's like ordering cold temperatures - minus 10°F is chillier than minus 2°F! Math Salamanders: Ordering Decimals
  9. Learn common misconceptions - Don't be tricked by extra digits! A longer decimal like 0.4900 isn't always bigger than 0.5 - in fact, 0.5 > 0.49 every time. Spotting these sneaky pitfalls keeps you ahead in the decimal game. Math Is Fun: Ordering Decimals
  10. Stay confident and keep practicing - Confidence grows with every comparison you conquer. Set yourself mini-challenges - race against the clock or beat your own high score. Before you know it, comparing and ordering decimals will be second nature! Online Math Learning: Order Decimals
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