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Week 05 · Multiply bigger numbers

Wednesday

Two digits times two digits
// Break numbers apart by place value
⏱ about 15 min

Wednesday: Two digits times two digits

At the third challenge stop, Bruce has planted a garden of sunflowers.

"There are 23 rows, and each row has 14 sunflowers," he says.

"This is my hardest challenge yet. Both numbers have two digits!"

Bennie nods slowly. "Then both numbers get split by place value."

"23 is 20 and 3. And 14 is 10 and 4."

"That makes four boxes instead of two."

Bruce smiles. "Four small jobs. I like that plan."

Learn it: tens times tens

20 × 10 = 200. Two tens times one ten is two hundreds.

30 × 40 = 1,200, because 3 × 4 = 12, and tens times tens make hundreds.

TENS TIMES TENS
  • Read the question.
  • Tap your answer.
20 × 30 = ?
40 × 50 = ?
60 × 70 = ?
80 × 20 = ?

Learn it: four boxes

For 23 × 14, the side shows 20 and 3. The top shows 10 and 4.

×104
2020080
33012

Add the four partial products: 200 + 80 + 30 + 12 = 322.

So 23 × 14 = 322 sunflowers.

A twelve by twelve square of unit squares, split into ten columns and two columns

This grid shows 12 × 12. The split gives 12 × 10 + 12 × 2 = 120 + 24 = 144.

FILL IN THE AREA MODEL FOR 36 × 18
  • Split 36 into 30 and 6.
  • Split 18 into 10 and 8.
What is 30 × 10?
What is 30 × 8?
What is 6 × 10?
What is 6 × 8?

Add them: 300 + 240 + 60 + 48 = 648.

MULTIPLY TWO DIGITS BY TWO DIGITS
  • Read the question.
  • Tap your answer.
31 × 12 = ?
45 × 22 = ?
36 × 18 = ?
27 × 13 = ?
STEPS FOR 23 × 14
  • Think about the four boxes.
  • Tap the steps in order.
1First
2Next
3Then
4Last
SentenceTrue or false?
20 × 40 = 800?
11 × 11 = 121?
15 × 15 = 215?
23 × 14 has four partial products.?
WHY THIS EXERCISE15 × 15 is 225: 100 + 50 + 50 + 25.
Try it
Find a sheet of grid paper, or draw squares with a ruler.
Outline a rectangle 12 squares long and 11 squares tall.
Draw a line after 10 squares each way.
Count each part and add. Do you get 132?
Draw an area model for 27 × 13. Write the four partial products.

Four boxes, one product! Tomorrow Chris tells a story full of multiplying.

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