Lesson ⁦1-4⁩: Compare Numbers

Math · Fourth 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?

In this lesson we compare two large numbers to find which is greater, using the symbols for greater than, less than, and equal to. Comparing relies on place value, starting from the greatest place.

  • Compares two numbers within the millions using the symbols >, <, and =
  • Compares digits place by place, starting from the greatest place
  • Uses a number line to compare numbers
  • Solves real-life problems that require comparison

💡 Tip: First count the digits in both numbers: the one with more digits is greater. If they have the same number of digits, compare from the left until you find the first two digits that differ.

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Worked examples from the Compare Numbers lesson questions

Which of the following statements is true?
  • 73,401 is greater than 73,104
  • 73,401 is less than 73,104
  • 73,401 is equal to 73,104
  • 73,104 is greater than 73,401
✓ 73,401 is greater than 73,104
The thousands are equal (73), and in the hundreds place 4 is greater than 1, so 73,401 is the greater number.
When comparing two numbers that have the same number of digits, where do we start comparing?
  • From the greatest place (far left)
  • From the ones place
  • From the tens place
  • From the greatest digit in the number, wherever it is
✓ From the greatest place (far left)
We start from the greatest place and compare the digits place by place until we find two different digits.
Show more examples (3)
On a number line, where is the greater of two numbers located?
  • To the right of the smaller number
  • To the left of the smaller number
  • Above the smaller number
  • Always in the middle of the number line
✓ To the right of the smaller number
Numbers increase on the number line as we move to the right, so the greater number is to the right.
Which of the following numbers is less than 268,450?
  • 268,405
  • 268,540
  • 286,450
  • 268,451
✓ 268,405
In 268,405 the tens digit is 0, which is less than the 5 in 268,450, while the other numbers are greater than it.
Which digit, if placed in the box, makes the number 5□2,300 greater than 572,300?
  • 8
  • 7
  • 5
  • 0
✓ 8
We compare the ten-thousands place: the digit must be greater than 7, so 8 gives 582,300, which is greater. The digit 7 gives an equal number.

FAQ about the Compare Numbers lesson

How do I compare 45,382 and 45,328?

Start from the left: the ten thousands are equal, the thousands are equal, and the hundreds are equal. In the tens, 8 is greater than 2, so 45,382 > 45,328.

How do I remember the difference between the greater-than and less-than symbols?

The open side of the symbol always faces the greater number, as in 9 > 4 and 4 < 9.

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 Fourth 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 4 - Semester 1 lessons in the same order as the book, and every question is reviewed and approved by a teacher before students see it.