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Study with Ghada› Math Fifth Grade, Primary› Unit 1

Lesson ⁦1-2⁩: Compare Numbers

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 how to compare two large whole numbers and decide which is greater using the symbols >, <, and =. Comparing is an everyday skill when comparing prices, distances, and populations.

  • Compares two whole numbers using place value
  • Uses the symbols >, <, and = to express a comparison
  • Uses a number line to compare numbers

💡 Tip: If the numbers have a different number of digits, the one with more digits is greater; if they have the same number of digits, compare the places from the left until you find the first digit that differs.

🤖 Ask Ghada about the lesson

Ghada explains the lesson and answers your questions about it. Log in to get started.

Worked examples from the Compare Numbers lesson questions

Which of the following statements is true?
  • 45,678 < 45,768
  • 45,678 > 45,768
  • 45,678 = 45,768
  • 45,768 < 45,678
✓ 45,678 < 45,768
We compare from the left: the thousands are equal, and in the hundreds 6 < 7, so 45,678 < 45,768.
Which of the following numbers is the greatest?
  • 3,450,120
  • 3,405,120
  • 3,045,120
  • 3,450,102
✓ 3,450,120
In the hundred-thousands place, 4 is the greatest, in 3,450,120 and 3,450,102; then in the tens 2 > 0, so 3,450,120 is the greatest.
Show more examples (3)
Which of the following numbers is the least?
  • 812,345
  • 821,345
  • 812,354
  • 812,435
✓ 812,345
We compare from the left: 812,345 is less than 821,345 (1 < 2 in the ten-thousands place), less than 812,435 (3 < 4 in the hundreds place), and less than 812,354 (4 < 5 in the tens place).
When comparing 6,284,513 and 6,248,999 starting from the left, what is the first place where the digits are different?
  • Ten thousands
  • Hundred thousands
  • Thousands
  • Ones
✓ Ten thousands
Millions 6 = 6, hundred thousands 2 = 2, and in the ten thousands 8 and 4 are different, so 6,284,513 is the greater number.
When comparing two whole numbers, the number with more digits is the greater one.
✓ True
True; for example, any 7-digit number is greater than any 6-digit whole number.

FAQ about the Compare Numbers lesson

How do I compare two numbers with the same number of digits?

Line the two numbers up one under the other and compare the digits place by place from the left. In 6,284,513 and 6,248,999 the first difference is in the ten-thousands place: 8 > 4, so the first number is greater.

How do I remember which way the greater-than and less-than symbols point?

The open side of the symbol always faces the greater number, so we write 9 > 5 and 3 < 7.

How do I study the lesson Compare Numbers 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 ⁦1-3⁩ Model Decimals ⁦1-4⁩ Place Value Through Thousandths ⁦1-5⁩ Compare Decimals ⁦1-6⁩ Order Numbers and Decimals ⁦1-7⁩ Problem-Solving Strategy: Guess and Check All Math Fifth Grade, Primary lessons →
← ⁦1-1⁩ Place Value Through Billions ⁦1-3⁩ Model Decimals →