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Is It Divisible by 9?
- Copy and complete the list of facts for 9. Then write the products in a column, one on each line.
- What patterns do you see? What can you say about the sum of the digits of the products?
- Use your calculator to find more multiples of 9. Find the products below.
- 9 634 =
- 9 23 =
- 9 37 =
- 9 73 =
- 9 143 =
- 9 444 =
- 9 754 =
- 9 4421 =
- Go back and add the digits of each product in Question 20.
For example: 9 634 = 5706
Add the digits in 5706: 5 + 7 + 0 + 6 = 18
Now, add the digits in 18: 1 + 8 = 9
Describe what happens when you add the digits of a multiple of 9. - Predict which numbers below are divisible by 9. Show how you decided.
- Then check using a calculator.
- Finally, write a multiplication and division sentence for each multiple of 9 you identify.
172 | 144 | 743 | 747 | 1007 |
2556 | 4906 | 8721 | 9908 | 12,987 |