18 Estimate 8128 /18 by first rounding each number so that it has only nonzero digit.
20. Find the digits in the tens place, in the tenths place, and in the ten thousandths place for the following number. 465.2587
21. Round 0.681 to the nearest tenth.
22. Estimate 17.64+9.213 by first rounding each number to the nearest tenth.
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18 Estimate 8128/18 by first rounding each number so that it has only nonzero digits:
To round 8128 to a number with only nonzero digits, we need to consider each digit separately:
- The thousands digit is 8, which is already a nonzero digit.
- The hundreds digit is 1. Since it is already nonzero, we don't need to do anything.
- The tens digit is 2. We round it up to the nearest nonzero digit, which is 3.
- The units digit is 8, which is already a nonzero digit.
So, when we round each digit to have only nonzero digits, we get the number 8318.
Now, we can divide 8318 by 18 to estimate the result:
8318 ÷ 18 ≈ 462.1
Therefore, the estimate for 8128 ÷ 18, after rounding each number to have only nonzero digits, is approximately 462.1.
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20. Find the digits in the tens place, in the tenths place, and in the ten thousandths place for the number 465.2587:
The digit in the tens place is the 5.
The digit in the tenths place is the 2.
The digit in the ten thousandths place is the 7.
Therefore, the digits in the tens place, tenths place, and ten thousandths place for the number 465.2587 are 5, 2, and 7, respectively.
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21. Round 0.681 to the nearest tenth:
To round a number to the nearest tenth, look at the digit in the hundredths place (the second digit after the decimal point). If it is 5 or greater, round up by adding 1 to the tenths place. If it is less than 5, round down by keeping the same tenths place.
In the number 0.681, the digit in the hundredths place is 8. Since 8 is greater than 5, we round up by adding 1 to the tenths place.
Therefore, when rounding 0.681 to the nearest tenth, we get 0.7.
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22. Estimate 17.64 + 9.213 by first rounding each number to the nearest tenth:
To round a number to the nearest tenth, look at the digit in the hundredths place (the second digit after the decimal point). If it is 5 or greater, round up by adding 1 to the tenths place. If it is less than 5, round down by keeping the same tenths place.
- 17.64: The digit in the hundredths place is 4, so we keep the same tenths place.
- 9.213: The digit in the hundredths place is 3, so we keep the same tenths place.
After rounding each number to the nearest tenth, we get:
17.64 rounded to the nearest tenth is 17.6.
9.213 rounded to the nearest tenth is 9.2.
Now, we can add the rounded numbers:
17.6 + 9.2 = 26.8
Therefore, when we estimate 17.64 + 9.213 by rounding each number to the nearest tenth, the result is approximately 26.8.