To determine which statement accurately describes the value of [tex]\(5 \times (23,432 + 10,816)\)[/tex], let’s break down the options provided:
1. Option A: One-fifth as large as [tex]\(23,432 + 10,816\)[/tex].
Computing one-fifth of [tex]\(23,432 + 10,816\)[/tex]:
[tex]\[
\frac{23,432 + 10,816}{5} = 6,849.6
\][/tex]
This value, 6,849.6, does not match the calculated value of [tex]\(5 \times (23,432 + 10,816)\)[/tex], which is 171,240. Thus, Option A is incorrect.
2. Option B: Five times as large as [tex]\(23,432 + 10,816\)[/tex].
Calculating five times [tex]\(23,432 + 10,816\)[/tex]:
[tex]\[
5 \times (23,432 + 10,816) = 171,240
\][/tex]
The value of 171,240 matches the calculated result. Hence, Option B is correct.
3. Option C: Five more than [tex]\(23,432 + 10,816\)[/tex].
Adding five to [tex]\(23,432 + 10,816\)[/tex]:
[tex]\[
23,432 + 10,816 + 5 = 34,253
\][/tex]
This value, 34,253, is not equal to the computed value of 171,240. Thus, Option C is incorrect.
4. Option D: Five less than [tex]\(23,432 + 10,816\)[/tex].
Subtracting five from [tex]\(23,432 + 10,816\)[/tex]:
[tex]\[
23,432 + 10,816 - 5 = 34,243
\][/tex]
This value, 34,243, does not match the computed value of 171,240. Thus, Option D is incorrect.
Therefore, the correct statement is:
B: Five times as large as [tex]\(23,432 + 10,816\)[/tex].
