High School

By rounding each number to the nearest 10, estimate the value of [tex]$197 \div 10.3$[/tex].

Answer :

To estimate the value of [tex]\(197 \div 10.3\)[/tex] by rounding each number to the nearest 10, follow these steps:

1. Round the Numbers:
- 197: When rounding 197 to the nearest 10, you look at the digit in the ones place, which is 7. Since 7 is 5 or greater, you round up. So, 197 rounds to 200.
- 10.3: When rounding 10.3 to the nearest 10, consider the whole part and decimal. Since 10.3 is closest to 10 rather than 20, it rounds to 10.

2. Estimate the Division:
- Now, divide the rounded numbers: [tex]\(200 \div 10 = 20\)[/tex].

Therefore, by rounding each number to the nearest 10, the estimated value of [tex]\(197 \div 10.3\)[/tex] is approximately 20.