Hazel wants a bigger quilt, 6 rows of 8 patches.
"Counting every patch will take so long," she sighs.
Bennie taps the edge of the quilt.
"Each row has 8 patches, and there are 6 rows," he says.
"That is 6 groups of 8. We can multiply!"
Hazel takes the pencil from behind her ear. "6 × 8 = 48," she writes.
A rectangle of unit squares is an array.
Rows times squares in each row gives the area.
This is the same as length times width.
Hazel's quilt has 6 rows of 8 squares.
6 × 8 = 48, so the area is 48 square units.
Counting one by one also gives 48. Multiplying is just quicker to write.
This rectangle is 7 cm long and 5 cm wide. 7 × 5 = 35 square centimeters.
If you know the area and one side, think of a times fact.
Say the area is 24 and one side is 6.
6 × 4 = 24, so the other side is 4.
| Sentence | True or false? |
|---|---|
| 6 × 8 = 48 | ? |
| The area of a 7 by 5 rectangle is 12 square units. | ? |
| Multiplying gives the same area as counting every square. | ? |
| 9 × 4 = 36 | ? |
Great multiplying! Tomorrow we break big rectangles into smaller ones.