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Week 05 · Multiply bigger numbers

Monday

Multiply with place value
// Break numbers apart by place value
⏱ about 15 min

Monday: Multiply with place value

Bruce the Bobcat tightens his headband at the first challenge stop of the week.

"Welcome back, trail friends!" he calls. "This week we multiply bigger numbers."

He points to four crates stacked beside the path.

"Each crate holds 30 pinecones. How many pinecones is that?"

Bennie the Bear sets down his basket of stones.

"Big numbers are built from tens and ones," Bennie says calmly.

"If we multiply each part, one big job turns into small jobs."

Bruce flicks his tufted ears. "Then let us start with the tens!"

Learn it: times tens, hundreds and thousands

4 × 3 = 12.

4 × 30 is 4 groups of 3 tens. That is 12 tens, or 120.

4 × 300 is 12 hundreds, or 1,200.

4 × 3,000 is 12 thousands, or 12,000.

The basic fact stays the same. Only the place changes.

A place value chart showing 12,000
MULTIPLY BY TENS, HUNDREDS AND THOUSANDS
  • Read the question.
  • Tap your answer.
4 × 30 = ?
6 × 200 = ?
7 × 3,000 = ?
8 × 500 = ?

Learn it: break apart to multiply

To find 4 × 12, break 12 into 10 and 2.

4 × 10 = 40 and 4 × 2 = 8.

40 + 8 = 48, so 4 × 12 = 48.

Four rows of twelve squares, split into ten columns and two columns

Bennie writes 4 × 23 the same way.

4 × 20 = 80 and 4 × 3 = 12.

80 + 12 = 92, so 4 × 23 = 92.

FIND THE MISSING NUMBER
  • Read the question.
  • Tap your answer.
4 × 23 = 4 × 20 + 4 × ?
6 × 14 = 6 × 10 + 6 × ?
3 × 52 = 3 × ? + 3 × 2
7 × 31 = 210 + ?
BREAK APART AND MULTIPLY
  • Read the question.
  • Tap your answer.
4 × 23 = ?
6 × 14 = ?
3 × 52 = ?
8 × 26 = ?
STEPS FOR 5 × 34
  • Think about how Bennie breaks numbers apart.
  • Tap the steps in order.
1First
2Next
3Then
4Last
SentenceTrue or false?
6 × 40 = 240?
3 × 700 = 2,200?
9 × 2,000 = 18,000?
5 × 12 = 60?
WHY THIS EXERCISE3 × 700 is 2,100, because 3 × 7 hundreds is 21 hundreds.
Try it
Make 4 rows of 12 with spoons, blocks or buttons.
Slide 10 in each row to the left.
Count the tens part, then the twos part.
Add them. Do you get 4 × 12 = 48?
Draw a rectangle 6 squares tall and 13 squares long. Split it into 10 and 3.

Strong start! Tomorrow we multiply numbers with three and four digits.