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Jayden used the multiplication table below to determine that 8/14 is equivalent to 24/42

User Freddoo
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Answer: The ratio 8:14 is 4:7 times 2, and the ratio 24:42 is 4:7 times 6.

Explanation:

User Prabhagaran
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Note that multiplication does not depend on the order of the numbers. In other words 6 × 4 = 4 × 6 = 24. Check to verify that.

Also note that 0 times any number is 0.

3 × 9

Now use the table to multiply 3 × 9 and 9 × 3. Your answer should be 27. You should memorize those products.

Counting exercises

A way to help you learn the multiplication of single digit numbers is by counting by a number. Some examples are below.

By 2

Count by 2 (skipping 0): 2, 4, 6, 8, 10, 12, 14, 16, 18... That is easy, but you can also note that this series corresponds to the numbers in the 2 row and column.

By 9

Now try counting by 9 (skipping 0): 9, 18, 27, 36, 45, 54, 63, 72, 81...

This will help you multiplying by 9.

Some interesting things about multiples of 9 can be seen from this series.

First of all, the sum of the digits equals 9. For example, for 72: 7 + 2 = 9. This is even true for larger numbers in this series. 13 × 9 = 117 and 1 + 1 + 7 = 9.

Also in the series above, the first digits go up by 1 and the second digits go down by 1.

Summary

You can use a multiplication table to multiply single digit numbers together. This is a handy way to learn your multiplication. Note that the order of the numbers in multiplication does not matter. 2 × 3 = 3 × 2. Finally, practicing counting by a number is a good way to get a feeling of the products.

Use tools to learn


User Gennady Shumakher
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