Question

estimation means finding a reasonable answer. an estimate is not exact, but it is close. rounding the numbers in a problem is a good way to estimate an answer.
round each number to the nearest hundred. then add the rounded numbers. the symbol ≈ means “approximately equal to.”

1. 3,948 + 758 + 6,799 + 437 ≈
2. 787 + 3,316 + 213 + 5,449 ≈
3. 108 + 7,915 + 3,736 + 615 ≈

9,081 + 752 + 2,978 + 93 ≈
520 + 2,186 + 706 + 5,807 ≈
714 + 7,465 + 302 + 4,974 ≈

Explanation:

Step1: Round 3,948 to nearest hundred

$3,948\approx3,900$

Step2: Round 758 to nearest hundred

$758\approx800$

Step3: Round 6,799 to nearest hundred

$6,799\approx6,800$

Step4: Round 437 to nearest hundred

$437\approx400$

Step5: Add the rounded numbers

$3,900 + 800+6,800 + 400=11,900$

Step6: Round 9,081 to nearest hundred

$9,081\approx9,100$

Step7: Round 752 to nearest hundred

$752\approx800$

Step8: Round 2,978 to nearest hundred

$2,978\approx3,000$

Step9: Round 93 to nearest hundred

$93\approx100$

Step10: Add the rounded numbers

$9,100+800 + 3,000+100=13,000$

Step11: Round 787 to nearest hundred

$787\approx800$

Step12: Round 3,316 to nearest hundred

$3,316\approx3,300$

Step13: Round 213 to nearest hundred

$213\approx200$

Step14: Round 5,449 to nearest hundred

$5,449\approx5,400$

Step15: Add the rounded numbers

$800+3,300+200 + 5,400=9,700$

Step16: Round 520 to nearest hundred

$520\approx500$

Step17: Round 2,186 to nearest hundred

$2,186\approx2,200$

Step18: Round 706 to nearest hundred

$706\approx700$

Step19: Round 5,807 to nearest hundred

$5,807\approx5,800$

Step20: Add the rounded numbers

$500+2,200+700+5,800 = 9,200$

Step21: Round 108 to nearest hundred

$108\approx100$

Step22: Round 7,915 to nearest hundred

$7,915\approx7,900$

Step23: Round 3,736 to nearest hundred

$3,736\approx3,700$

Step24: Round 615 to nearest hundred

$615\approx600$

Step25: Add the rounded numbers

$100+7,900+3,700+600=12,300$

Step26: Round 714 to nearest hundred

$714\approx700$

Step27: Round 7,465 to nearest hundred

$7,465\approx7,500$

Step28: Round 302 to nearest hundred

$302\approx300$

Step29: Round 4,974 to nearest hundred

$4,974\approx5,000$

Step30: Add the rounded numbers

$700+7,500+300+5,000=13,500$

Answer:

1. $11,900$
2. $9,700$
3. $12,300$
4. $13,000$
5. $9,200$
6. $13,500$