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Math · Grade 3 Math

Chapter 3: Building the Times Tables

Multiplying by Multiples of Ten

Multiply the digits, then count the tens.

Lesson
6
Time
About 13 minutes
0 of 8 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

4 × 30 means 4 groups of 3 tens. That is 12 tens.

12 tens is 120

So 4 × 30 = 120. The zero is there because you counted tens, not ones.

Not just "add a zero"

The zero appears because the unit is a ten. Saying "add a zero" hides that.

The quick way

Multiply the two digits, then say the answer in tens.

Multiply the digits, then count the zeros

4 × 30 is 4 × 3 = 12, then one zero from the 30, giving 120. You are really doing 4 × 3 tens = 12 tens = 120. The zero-counting shortcut is fine as long as you can say what it means.

Why it works

30 is 3 × 10, so 4 × 30 is 4 × 3 × 10. The associative property lets you group it as (4 × 3) × 10 = 12 × 10 = 120. This is the property from the last lesson doing something immediately useful.

It scales up

4 × 300 is 12 with two zeros: 1,200. And 40 × 30 is 12 with two zeros: 1,200. Count all the zeros from both numbers. This one rule handles a huge range of calculations that would otherwise need the column method.

Step 2: Try It Yourself

Tap and try it out.

This array counts tens, not ones. 4 rows of 3 tens.

4 × 3 = 12

4 rows of 3 makes 12.

Step 3: Watch an Example

One step at a time.

Watch Leo Count in Tens

Leo is asked for 6 × 40.

  1. Step 1

    He reads 40 as 4 tens.

Step 4: Your Turn

Practice makes it stick.

The Boxes

Problem 1 of 2

5 boxes each hold 20 pencils. How many pencils?

pencils

The Seats

Problem 2 of 2

7 rows of 30 seats. How many seats?

seats

Times a Multiple of Ten

1 of 4

3 × 40 = ?

2 of 4

8 × 50 = ?

3 of 4

9 × 80 = ?

4 of 4

6 × 60 = ?

Step 5: Quick Check

Show what you know.

Question 1 of 2

7 × 40 = ?

Question 2 of 2

Why does 4 × 30 end in a zero?

What You Learned

  • 4 × 30 is 4 groups of 3 tens.
  • Multiply the digits, then say the answer in tens.
  • The zero appears because the unit is a ten.