Significant Figure - Addition Subtraction

1. Solve and round accordingly: 63.478 - 52.12

115.598

115.59

115.60

11.36

The least accurate digit is from 52.12, which has 2 decimal places.

Explanation

The least accurate digit is from 52.12, which has 2 decimal places.

2. What is the result of the following calculation, rounded to the correct number of significant figures? 25.8 - 13.57 + 6.903

19.1

19.21

19.32

20

In addition and subtraction with significant figures, the final result should be rounded to the least number of decimal places in any of the numbers involved. Here, 25.8 has one decimal place, 13.57 has two, and 6.903 has three. Therefore, the answer should be rounded to one decimal place, giving us 19.1.

Explanation

In addition and subtraction with significant figures, the final result should be rounded to the least number of decimal places in any of the numbers involved. Here, 25.8 has one decimal place, 13.57 has two, and 6.903 has three. Therefore, the answer should be rounded to one decimal place, giving us 19.1.

3. Solve and round accordingly: 5.494 - 4.30

1.19

9.79

1.194

1.2

The least accurate digit is from 4.30, which has 2 decimal places.

Explanation

The least accurate digit is from 4.30, which has 2 decimal places.

4. Solve and round accordingly: 4.928 + 37.71 + 5.2543

47.8923

47.9

47.892

47.89

The least accurate digit is from 37.71, which has 2 decimal places.

Explanation

The least accurate digit is from 37.71, which has 2 decimal places.

5. What is the correct answer to the following expression, taking significant figures into account? 12.34 + 0.022 - 1.001

11.45

11.36

11. 21

11

When adding or subtracting numbers, the result should be rounded to the least number of decimal places in any of the numbers being used. In this case, 12.34 has two decimal places, 0.022 has three, and 1.001 has three. The least number of decimal places is two, so the answer should be rounded to two decimal places, giving 11.36.

Explanation

When adding or subtracting numbers, the result should be rounded to the least number of decimal places in any of the numbers being used. In this case, 12.34 has two decimal places, 0.022 has three, and 1.001 has three. The least number of decimal places is two, so the answer should be rounded to two decimal places, giving 11.36.

6. Solve and round accordingly: 8.14 + 6.7550 + 6.504

21.3990

21.399

21.40

21.4

First, add the numbers: 8.14 + 6.7550 + 6.504 = 21.399. Then, round to the hundredths place, which is the second digit after the decimal point. The digit in the thousandths place is 9, which is greater than or equal to 5, so we round up the hundredths digit. Therefore, the rounded answer is 21.40.

Explanation

First, add the numbers: 8.14 + 6.7550 + 6.504 = 21.399. Then, round to the hundredths place, which is the second digit after the decimal point. The digit in the thousandths place is 9, which is greater than or equal to 5, so we round up the hundredths digit. Therefore, the rounded answer is 21.40.