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Math · Grade 3 Math

Chapter 3: Building the Times Tables

Multiplying by 8 and 9

Doubling again, and a pattern worth spotting.

Lesson
4
Time
About 14 minutes
0 of 8 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Eights are double fours

7 × 8 is double 7 × 4. That is double 28, which is 56.

Nines are tens minus one group

7 × 9 is 7 × 10 take away one 7: 70 − 7 = 63.

A pattern in the nines

The digits of every answer add to 9. 63 gives 6 + 3 = 9. So does 27, and 45.

That pattern is a good check, not a way to work the answer out.

Eights are doubles of doubles

6 × 8 can be built by doubling three times: 6 × 2 = 12, doubled is 24, doubled again is 48. Since 8 is 2 × 2 × 2, doubling three times gets you there. Some children find this faster than recall, and it always works.

The nines pattern

In the 9 times table the tens digit goes up by one and the ones digit goes down by one: 09, 18, 27, 36, 45, 54, 63, 72, 81, 90. And the two digits of every answer add to 9. Both patterns have the same cause — nine is one less than ten.

Nines from tens

7 × 9 is 7 × 10 = 70 minus one group of 7, giving 63. That is where the pattern comes from: every step of nine is a step of ten with one taken back. Understanding the reason means the pattern will not desert you when you are under pressure.

Step 2: Try It Yourself

Tap and try it out.

Set the columns to 9 and cut after 5 to see the parts.

7 × 9 = 63

7 × 9 = (7 × 5) + (7 × 4) = 35 + 28 = 63

The array is cut into 7 × 5 and 7 × 4. Two easier facts that add to the same total.

Step 3: Watch an Example

One step at a time.

Watch Leo Use the Tens

Leo is asked for 8 × 9.

  1. Step 1

    He works out 8 × 10 first, which is 80.

Step 4: Your Turn

Practice makes it stick.

The Spiders

Problem 1 of 2

6 spiders each have 8 legs. How many legs?

legs

The Rows

Problem 2 of 2

9 rows of 9 chairs. How many chairs?

chairs

Eights and Nines

1 of 4

4 × 8 = ?

2 of 4

8 × 8 = ?

3 of 4

6 × 9 = ?

4 of 4

72 ÷ 8 = ?

Step 5: Quick Check

Show what you know.

Question 1 of 2

7 × 9 = ?

Question 2 of 2

In the nine times table, what do the digits of each answer add to?

What You Learned

  • Eights are double fours.
  • Nines are tens with one group taken away.
  • The digits of every nine answer add to 9.