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Math · Grade 3 Math

Chapter 3: Building the Times Tables

Multiplying by 6

Double the threes.

Lesson
2
Time
About 12 minutes
0 of 8 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

Sixes are double threes

7 × 6 is double 7 × 3. That is double 21, which is 42.

Or fives plus one more group

7 × 6 is 7 × 5 plus one more 7: 35 and 7 makes 42.

Either road works. Use whichever fact you know better.

Six is double three

7 × 6 is 7 × 3 doubled: 21 doubled is 42. Any 6 fact can be built from the 3 fact you already know. This is the same building-from-known-tables idea as the 4s coming from the 2s.

Or five groups plus one more

7 × 6 is also 7 × 5 = 35 plus one more 7, giving 42. Two independent routes to the same answer, which is exactly what you want while a fact is still settling into memory — if the two routes disagree, one of them has a slip in it.

Every answer is even

Because 6 is even, every product in the 6 times table is even. So if you calculate 7 × 6 and get 41, you can reject it without checking anything else. Small structural checks like this are cheap and catch real mistakes.

Step 2: Try It Yourself

Tap and try it out.

Cut after 5 columns to see the fives-plus-one road.

7 × 6 = 42

7 × 6 = (7 × 5) + (7 × 1) = 35 + 7 = 42

The array is cut into 7 × 5 and 7 × 1. Two easier facts that add to the same total.

Step 3: Watch an Example

One step at a time.

Watch Leo Double a Three

Leo is asked for 8 × 6.

  1. Step 1

    He recalls 8 × 3 = 24.

Step 4: Your Turn

Practice makes it stick.

The Egg Boxes

Problem 1 of 2

7 boxes each hold 6 eggs. How many eggs?

eggs

The Insects

Problem 2 of 2

9 insects each have 6 legs. How many legs?

legs

The Six Times Table

1 of 4

4 × 6 = ?

2 of 4

6 × 6 = ?

3 of 4

8 × 6 = ?

4 of 4

42 ÷ 6 = ?

Step 5: Quick Check

Show what you know.

Question 1 of 2

9 × 6 = ?

Question 2 of 2

How can you build a six fact?

What You Learned

  • A six is two threes, so double the three fact.
  • Or use the five fact and add one more group.
  • The division facts come with them.