Place Value Estimation - ISEE Middle Level Quantitative Reasoning

1. What is $4{,}785 \times 0.51$ estimated by rounding to $4{,}800 \times 0.5$?

   $2{,}400$. Round 4,785 to 4,800 and 0.51 to 0.5, then multiply to estimate the product.

2. What is $7{,}905 \times 302$ estimated by rounding to $8{,}000 \times 300$?

   $2{,}400{,}000$. Round 7,905 to 8,000 and 302 to 300, then multiply to estimate the product.

3. What is the estimated value of $4{,}782$ rounded to the nearest hundred?

   $4{,}800$. To round 4,782 to the nearest hundred, examine the tens digit (8), which is 5 or greater, so increase the hundreds digit from 7 to 8.

4. What is $3{,}984 \times 25$ estimated using $4{,}000 \times 25$?

   $100{,}000$. Round 3,984 to 4,000 and multiply by 25 to estimate the product.

5. What is $4{,}512 \times 19$ estimated by rounding to $4{,}500 \times 20$?

   $90{,}000$. Round 4,512 to 4,500 and 19 to 20, then multiply to estimate the product.

6. What is $6{,}495 \times 0.099$ estimated by rounding to $6{,}500 \times 0.1$?

   $650$. Round 6,495 to 6,500 and 0.099 to 0.1, then multiply to estimate the product.

7. What is $9{,}860 \times 0.047$ estimated by rounding to $10{,}000 \times 0.05$?

   $500$. Round 9,860 to 10,000 and 0.047 to 0.05, then multiply to estimate the product.

8. What is $6{,}340 \times 78$ estimated by rounding to $6{,}000 \times 80$?

   $480{,}000$. Round 6,340 to 6,000 and 78 to 80, then multiply to estimate the product.

9. What is the estimated value of $7.36$ rounded to the nearest tenth?

   $7.4$. To round 7.36 to the nearest tenth, examine the hundredths digit (6), which is 5 or greater, so increase the tenths digit from 3 to 4.

10. What is $7{,}248 \times 0.0039$ estimated by rounding to $7{,}000 \times 0.004$?

    $28$. Round 7,248 to 7,000 and 0.0039 to 0.004, then multiply to estimate the product.

11. What is $72{,}400 \times 0.006$ estimated by rounding to $70{,}000 \times 0.006$?

    $420$. Round 72,400 to 70,000 (nearest ten thousand) and multiply by 0.006 to estimate the product.

12. What is $3{,}750 \times 0.08$ estimated by rounding to $4{,}000 \times 0.08$?

    $320$. Round 3,750 to 4,000 (nearest thousand) and multiply by 0.08 to estimate the product.

13. What is $7{,}260 \times 0.49$ estimated by rounding to $7{,}000$ and $0.5$?

    $3{,}500$. Round 7,260 to 7,000 and 0.49 to 0.5, then multiply to estimate the product.

14. What is the estimated value of $63{,}449$ rounded to the nearest thousand?

    $63{,}000$. To round 63,449 to the nearest thousand, examine the hundreds digit (4), which is less than 5, so keep the thousands digit as 3.

15. What is $3{,}920 \times 61$ estimated by rounding to the nearest thousand and ten?

    $240{,}000$. Round 3,920 to 4,000 (nearest thousand) and 61 to 60 (nearest ten), then multiply to estimate the product.

16. What is $8{,}991 \times 1.98$ estimated by rounding to $9{,}000 \times 2$?

    $18{,}000$. Round 8,991 to 9,000 and 1.98 to 2, then multiply to estimate the product.

17. What is $198 \times 52$ estimated by rounding to the nearest ten?

    $10{,}000$. Round 198 to 200 and 52 to 50, both to the nearest ten, then multiply to estimate the product.

18. What is $8{,}943 - 3{,}112$ estimated by rounding each number to the nearest hundred?

    $5{,}800$. Round 8,943 to 8,900 and 3,112 to 3,100, both to the nearest hundred, then subtract to estimate the difference.

19. What is the estimated value of $0.084$ rounded to the nearest hundredth?

    $0.08$. To round 0.084 to the nearest hundredth, examine the thousandths digit (4), which is less than 5, so keep the hundredths digit as 8.

20. What is $738 \times 0.09$ estimated by rounding to $700 \times 0.1$?

    $70$. Round 738 to 700 and 0.09 to 0.1, then multiply to estimate the product.

21. What is the estimated value of $98{,}650$ rounded to the nearest ten thousand?

    $100{,}000$. To round 98,650 to the nearest ten thousand, examine the thousands digit (8), which is 5 or greater, so increase the ten thousands digit from 9 to 10.

22. What is $5{,}961 \times 0.12$ estimated by rounding to $6{,}000 \times 0.1$?

    $600$. Round 5,961 to 6,000 and 0.12 to 0.1, then multiply to estimate the product.

23. What is $49 \times 21$ estimated by rounding to the nearest ten?

    $1{,}000$. Round 49 to 50 and 21 to 20, both to the nearest ten, then multiply to estimate the product.

Study these flashcards