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Lesson ⁦1-5⁩: Compare Decimals

Math · Fifth Grade, Primary · Unit 1: Place Value · First Semester

A 10-question quiz; after every question you'll see the right answer with an explanation.
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What will you learn in this lesson?

Students learn to compare decimals by looking at the digits in each place, and discover that a longer decimal is not necessarily greater. This is an important skill for comparing prices, lengths, and weights.

  • Compares two decimals using place value
  • Writes equivalent decimals by adding zeros to the right
  • Uses a number line to compare decimals

💡 Tip: A common mistake is thinking 0.125 is greater than 0.13 because it has more digits. Add a zero so both have the same number of places: 0.130 > 0.125.

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Worked examples from the Compare Decimals lesson questions

Which of the following statements is true?
  • 0.6 > 0.58
  • 0.6 < 0.58
  • 0.6 = 0.58
  • 0.58 > 0.6
✓ 0.6 > 0.58
We write 0.6 = 0.60, then compare: 60 hundredths is greater than 58 hundredths.
Which of the following numbers is the greatest?
  • 3.45
  • 3.405
  • 3.045
  • 3.4
✓ 3.45
We give them the same number of places: 3.450, 3.405, 3.045, and 3.400, and the greatest is 3.450.
Show more examples (3)
2.5 = 2.50
✓ True
True; a zero to the right of the last digit after the decimal point does not change the value, so they are equivalent decimals.
0.125 > 0.13 because 125 > 13.
✓ False
False; we write 0.13 = 0.130, then compare: 125 thousandths < 130 thousandths, so 0.125 < 0.13.
Ali ran the 100-meter race in 14.28 seconds, and Majid ran it in 14.82 seconds. Who was faster?
  • Ali
  • Majid
  • They were equally fast
  • It cannot be known
✓ Ali
The faster one has the shorter time, and 14.28 < 14.82 (2 < 8 in the tenths place).

FAQ about the Compare Decimals lesson

Is 2.5 equal to 2.50?

Yes. Adding a zero to the right of the last digit after the decimal point doesn't change the value, so they are equivalent decimals.

How do I know which is greater: 0.7 or 0.65?

Write 0.7 as 0.70 and then compare: 70 hundredths is greater than 65 hundredths, so 0.7 > 0.65.

How do I study the lesson Compare Decimals and test myself on it?

Start the lesson quiz on Study with Ghada: 10 questions from the Math Fifth Grade, Primary question bank. After each answer you'll see the right answer with an explanation, and any questions you miss move to “Review my mistakes” until you master them.

Are Study with Ghada quizzes free and aligned with the curriculum?

Yes, completely free. They're built on the Math - Grade 5 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.

Unit 1 lessons: Place Value

⁦1-1⁩ Place Value Through Billions ⁦1-2⁩ Compare Numbers ⁦1-3⁩ Model Decimals ⁦1-4⁩ Place Value Through Thousandths ⁦1-6⁩ Order Numbers and Decimals ⁦1-7⁩ Problem-Solving Strategy: Guess and Check All Math Fifth Grade, Primary lessons →
← ⁦1-4⁩ Place Value Through Thousandths ⁦1-6⁩ Order Numbers and Decimals →