Question

to the correct number of significant figures? 25.64 - 19.202 a) 6.438 b) 6.43 c) 6.44 d) 6.4

Explanation:

Step1: Perform the subtraction

First, we calculate \(25.64 - 19.202\).
\(25.64 - 19.202 = 6.438\)

Step2: Determine significant figures for subtraction

When subtracting, the result should have the same number of decimal places as the number with the least number of decimal places.

• \(25.64\) has 2 decimal places.
• \(19.202\) has 3 decimal places.

So we round the result to 2 decimal places. Rounding \(6.438\) to 2 decimal places: look at the third decimal place, which is 8. Since \(8\geq5\), we round up the second decimal place. So \(6.438\approx6.44\)

Answer:

c) 6.44