Questions: Evaluate the given difference. Report the answer with the correct number of significant figures. 137.914-22.6=

Transcript text: Evaluate the given difference. Report the answer with the correct number of significant figures. \[ 137.914-22.6= \]

Solution

Solution Steps

To solve the given problem, we need to perform the subtraction and then report the result with the correct number of significant figures. The number of significant figures in the result should be based on the least number of decimal places in the given numbers.

Step 1: Identify the Given Numbers

We are given two numbers: \[ 137.914 \quad \text{and} \quad 22.6 \]

Step 2: Perform the Subtraction

We need to subtract the second number from the first: \[ 137.914 - 22.6 = 115.314 \]

Step 3: Determine the Correct Number of Significant Figures

The number with the least number of decimal places is \(22.6\), which has 1 decimal place. Therefore, the result should be rounded to 1 decimal place.

Step 4: Round the Result

Rounding \(115.314\) to 1 decimal place gives: \[ 115.3 \]