Comparing Numbers - Cycle 2

| Mathematics

What is comparing numbers?

Definition

Comparing numbers is determining whether a number is less than (<), greater than (>), or equal to (=) another number.

Examples:

  1. 3 is less than 8.
    3 < 8
  2. 10 is greater than 5.
    10 > 5
  3. 7 is equal to 7.
    7 = 7

How to compare numbers using a number line

On a number line, the numbers are always placed in ascending order.

Example
On a number line, the numbers are always placed in ascending order

The number on the left is the smallest. The one on the right is the largest.

Example

I locate the numbers 5.2 and 5.7 on the number line to compare them.

Exemple de comparaison de nombres à l’aide de la droite numérique.
5.2 is the number on the left.

5.2 is less than 5.7.
5.2 < 5.7

How to compare numbers using a place value chart

Example

To compare the numbers 2720.29 and 2705.89, I write them in a place value chart.

Example of comparing numbers using a place value chart.

  1. I start by looking at the largest place value column and compare the numbers.

    Both numbers have 2 in the thousands position. Since the numbers are equal, I will move on to the next column.

  2. I look at the next place value column and compare the numbers.

    Both numbers have 7 in the hundreds position. So, I move on to the next column.

  3. I look at the next place value column and compare the numbers.

    The number 2 720.29 has 2 tens while the number 2 705.89 has none.

    Since 2 is greater than 0, the number 2 720.29 is greater than 2 705.89.