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Math · Grade 4 Math

Chapter 2: Multiplication

Multiplying by 10, 100, and 1,000

Counting in bigger units.

Lesson
2
Time
About 13 minutes
0 of 8 done

Step 1: Let's Learn

Read it, or press Listen and follow the words.

6 × 100 means 6 groups of one hundred. That is 6 hundreds, which is 600.

Not "add zeros"

The zeros appear because you counted hundreds. Saying "add two zeros" hides the reason.

Multiples of ten and a hundred

6 × 300 is 6 groups of 3 hundreds, which is 18 hundreds, which is 1,800.

Why the zeros appear

6 × 100 is 6 hundreds, which is 600. The digit 6 has moved two places to the left and zeros hold the vacated places. Saying "add two zeros" is a fair shortcut, but the real reason is that the units got a hundred times bigger.

Counting all the zeros

40 × 300 is 4 × 3 = 12 with three zeros: 12,000. Count the zeros from both factors and attach them all. This handles a huge range of calculations without any written method at all.

The basis of every estimate

Estimating 387 × 42 as 400 × 40 = 16,000 uses exactly this skill. Being quick and confident with multiples of ten is what makes estimation fast enough to be worth doing — which in turn is what keeps your exact answers honest.

The shortcut has a limit

"Add a zero" works for whole numbers only. Once decimals arrive, 6.3 × 10 is 63, not 6.30. The digits move a place; a zero is simply what fills the gap when there is nothing else to move in. Learn the movement, not the zero.

Step 2: Try It Yourself

Tap and try it out.

Each object here stands for one hundred.

6 × 3 = 18

6 rows of 3 makes 18.

Step 3: Watch an Example

One step at a time.

Watch Leo Count Hundreds

Leo works out 7 × 400.

  1. Step 1

    He reads 400 as 4 hundreds.

Step 4: Your Turn

Practice makes it stick.

The Crates

Problem 1 of 2

8 crates each hold 200 apples. How many apples?

apples

The Boxes

Problem 2 of 2

5 boxes each hold 3,000 sheets. How many sheets?

sheets

Count the Units

1 of 4

7 × 100 = ?

2 of 4

4 × 600 = ?

3 of 4

9 × 50 = ?

4 of 4

6 × 2,000 = ?

Step 5: Quick Check

Show what you know.

Question 1 of 2

8 × 700 = ?

Question 2 of 2

Why does 6 × 100 end in two zeros?

What You Learned

  • Multiplying by 100 means counting hundreds.
  • The zeros appear because of the unit, not by a rule.
  • Multiples work the same way: 6 × 300 is 18 hundreds.