Question

1. complete the table using your understanding of place value and knowledge of rounding to estimate the product.

expressions	rounded factors	estimate
b. 82,290×240
c. 9,832×39
d. 98 tens×36 tens
e. 893 hundreds×85 tens

Explanation:

Step1: Round 82,290 and 240

Round 82,290 to 80,000 (rounding to the nearest ten - thousand) and 240 to 200 (rounding to the nearest hundred).

Step2: Calculate the estimate

$80000\times200 = 16000000$

Step3: Round 9,832 and 39

Round 9,832 to 10,000 (rounding to the nearest ten - thousand) and 39 to 40 (rounding to the nearest ten).

Step4: Calculate the estimate

$10000\times40=400000$

Step5: Rewrite 98 tens and 36 tens

98 tens is 980 and 36 tens is 360. Round 980 to 1000 and 360 to 400.

Step6: Calculate the estimate

$1000\times400 = 400000$

Step7: Rewrite 893 hundreds and 85 tens

893 hundreds is 89300 and 85 tens is 850. Round 89300 to 90000 and 850 to 900.

Step8: Calculate the estimate

$90000\times900=81000000$

Answer:

Expressions	Rounded Factors	Estimate
b. $82,290\times240$	$80,000\times200$	$16,000,000$
c. $9,832\times39$	$10,000\times40$	$400,000$
d. 98 tens $\times$ 36 tens	$1000\times400$	$400,000$
e. 893 hundreds $\times$ 85 tens	$90,000\times900$	$81,000,000$