Question

What will be the significant figure of the summation of 0.153, 153.2, and 1532?

• A. 3
• B. 4
• C. 5
• D. 6

Hint:

In addition or subtraction, the result should have the same number of decimal places as the least precise number in the operation.

Answer 1

The Correct Option is B

Step 1: Understand significant figures in addition.
When adding or subtracting numbers, the result should have the same number of decimal places as the least precise number.
Step 2: Identify the decimal places.
- \( 0.153 \) has 3 decimal places. - \( 153.2 \) has 1 decimal place. - \( 1532 \) has no decimal places. The number with the least number of decimal places is \( 1532 \), which has 0 decimal places. Therefore, the result of the addition should have 0 decimal places.
Step 3: Perform the addition.
\[ 0.153 + 153.2 + 1532 = 1685.353 \] Since the least precise value has 0 decimal places, we round the result to the nearest whole number: \[ 1685 \] Thus, the result has 4 significant figures.