Answer :
To estimate the sum of 529 and 193 by rounding each number to one significant figure, we can follow these steps:
1. Round 529 to one significant figure:
- The first digit of 529 is 5, which is also the most significant digit.
- Considering the whole number, the next digit is 2. If it's 5 or more, we round up; if less, round down.
- In this case, we round 529 down to 500.
2. Round 193 to one significant figure:
- The first digit of 193 is 1, which is the most significant digit.
- Looking at the next digit, which is 9, we need to round up because it is greater than 5.
- Thus, 193 rounds up to 200.
3. Estimate the sum:
- Using these rounded figures, add 500 and 200.
- The estimated sum is [tex]\(500 + 200 = 700\)[/tex].
So, the estimate of the sum of 529 and 193, using numbers rounded to one significant figure, is 700.
1. Round 529 to one significant figure:
- The first digit of 529 is 5, which is also the most significant digit.
- Considering the whole number, the next digit is 2. If it's 5 or more, we round up; if less, round down.
- In this case, we round 529 down to 500.
2. Round 193 to one significant figure:
- The first digit of 193 is 1, which is the most significant digit.
- Looking at the next digit, which is 9, we need to round up because it is greater than 5.
- Thus, 193 rounds up to 200.
3. Estimate the sum:
- Using these rounded figures, add 500 and 200.
- The estimated sum is [tex]\(500 + 200 = 700\)[/tex].
So, the estimate of the sum of 529 and 193, using numbers rounded to one significant figure, is 700.
