Sure, let's estimate the difference by rounding each number to the nearest whole number step-by-step.
1. Round each number to the nearest whole number:
- The number [tex]\( 91.276 \)[/tex] when rounded to the nearest whole number is [tex]\( 91 \)[/tex].
- The number [tex]\( 4.310 \)[/tex] when rounded to the nearest whole number is [tex]\( 4 \)[/tex].
2. Subtract the rounded numbers:
[tex]\[
91 - 4 = 87
\][/tex]
Thus, the estimated difference between [tex]\( 91.276 \)[/tex] and [tex]\( 4.310 \)[/tex], by rounding to the nearest whole number, is [tex]\( 87 \)[/tex].