Question

use the area model to find the product.

1. $24 \times 0.71 = $ _________

___ tenths ___ hundredth
4
20

Explanation:

Step1: Split 0.71 into parts

$0.71 = 0.7 + 0.01$ (0.7 is 7 tenths, 0.01 is 1 hundredth)

Step2: Split 24 into parts

$24 = 20 + 4$

Step3: Calculate area of top-left

Multiply 4 and 0.7:
$4 \times 0.7 = 2.8$

Step4: Calculate area of top-right

Multiply 4 and 0.01:
$4 \times 0.01 = 0.04$

Step5: Calculate area of bottom-left

Multiply 20 and 0.7:
$20 \times 0.7 = 14$

Step6: Calculate area of bottom-right

Multiply 20 and 0.01:
$20 \times 0.01 = 0.2$

Step7: Sum all four areas

$2.8 + 0.04 + 14 + 0.2 = 17.04$

Answer:

7 tenths, 1 hundredth
$24 \times 0.71 = 17.04$