Division patterns with zeroes

Key Points

What are Division Patterns with Zeroes?

• When you divide numbers that have zeroes at the end (like 40, 500, or 7,000), there are special patterns that make division easier.

Dividing by 10, 100, or 1,000

When you divide a number by 10, 100, or 1,000, you can simply remove the same number of zeroes from the end of the number.

Examples:

• 400 ÷ 10 = 40 (remove one zero)
• 5,000 ÷ 100 = 50 (remove two zeroes)
• 8,000 ÷ 1,000 = 8 (remove three zeroes)

Dividing Numbers with Zeroes by Numbers without Zeroes

If both the dividend (the number being divided) and the divisor (the number you are dividing by) have zeroes at the end, you can cancel out the same number of zeroes from both.

Examples:

• 600 ÷ 20 = 60 ÷ 2 = 30 (remove one zero from both)
• 7,000 ÷ 100 = 70 ÷ 1 = 70 (remove two zeroes from both)

Why Does This Work?

• Zeroes at the end of a number mean the number is a multiple of 10, 100, or 1,000.
• Removing zeroes is like dividing both numbers by 10, 100, or 1,000 at the same time.

Practice Problems

1. 900 ÷ 10 = ______
2. 4,500 ÷ 100 = ______
3. 8,000 ÷ 40 = ______
4. 60,000 ÷ 1,000 = ______
5. 3,600 ÷ 30 = ______

Here are the answers:

1. 900 ÷ 10 = 90
2. 4,500 ÷ 100 = 45
3. 8,000 ÷ 40 = 200
4. 60,000 ÷ 1,000 = 60
5. 3,600 ÷ 30 = 120

Tips to Remember

• Always check if both numbers have zeroes at the end.
• Cancel out the same number of zeroes from both numbers before dividing.
• If only the dividend has zeroes, just remove them according to the divisor (10, 100, 1,000).

Summary

Division patterns with zeroes make math easier! Look for zeroes at the end of numbers, cancel them out when possible, and solve the division quickly. Practice these patterns to become a division expert!

Learn with an example

Let’s practice!