Question

1. circle the best estimate:

62 × 29

a. 60 b. 600

c. 120 d. 1,200

e. 180 f. 1,800
explain your reasoning.

Explanation:

Step1: Round the numbers

Round 62 to 60 and 29 to 30.

Step2: Multiply the rounded numbers

Calculate \( 60 \times 30 = 1800 \)? Wait, no, wait: 6030 is 1800? Wait, no, 6030 is 1800? Wait, no, 63=18, so 6030=1800? Wait, but wait, 62 is close to 60, 29 is close to 30. But wait, 6229: let's check the actual product. 6230=1860, so 6229=1860-62=1798. So the best estimate should be close to that. Wait, but the options: f is 1800. Wait, but let's re-examine the rounding. Wait, maybe I made a mistake. Wait, 62 is approximately 60, 29 is approximately 30? No, 29 is closer to 30, but 62 is closer to 60. Wait, but 6229: another way, 6030=1800, 6230=1860, so 6229=1860-62=1798. So the best estimate is 1800? Wait, but the options: f is 1800. Wait, but let's check the options again. Wait, the options are a.60, b.600, c.120, d.1200, e.180, f.1800. Wait, maybe I rounded wrong. Wait, 62 is about 60, 29 is about 30? No, 29 is about 30, but 6229: 6030=1800, but 6229 is 1798, which is close to 1800. But wait, another way: 6229. Let's see, 6029=1740, 2*29=58, so 1740+58=1798. So the best estimate is 1800 (option f) or is there a mistake? Wait, wait, maybe I misread the options. Wait, the problem is 62×29. Let's check the options again. a.60, b.600, c.120, d.1200, e.180, f.1800. Wait, maybe the rounding is 60×30=1800, so the best estimate is f.1800. But wait, let's check the actual product: 62×29=1798, which is very close to 1800. So the best estimate is f.1800.

Answer:

f. 1,800