Let's work through the problem step-by-step.
1. Identify the numbers to be multiplied:
- The three numbers Clara wants to multiply are [tex]\(-6\)[/tex], [tex]\(-7\)[/tex], and [tex]\(-1\)[/tex].
2. Perform the multiplication step-by-step:
a. Multiply the first two numbers:
[tex]\[
(-6) \times (-7) = 42
\][/tex]
When two negative numbers are multiplied, the result is positive, so [tex]\((-6) \times (-7) = 42\)[/tex].
b. Now multiply the result with the third number:
[tex]\[
42 \times (-1) = -42
\][/tex]
When a positive number is multiplied by a negative number, the result is negative, so [tex]\(42 \times (-1) = -42\)[/tex].
3. Compare Clara's answer with the correct result:
- Clara's answer was [tex]\(42\)[/tex].
- The correct result we obtained is [tex]\(-42\)[/tex].
4. Determine if Clara's answer is reasonable:
- Clara's answer of [tex]\(42\)[/tex] does not match the correct result of [tex]\(-42\)[/tex].
- Therefore, Clara's answer is not reasonable.
Conclusion:
Clara's answer of [tex]\(42\)[/tex] is not reasonable. The correct product of [tex]\((-6)(-7)(-1)\)[/tex] is [tex]\(-42\)[/tex].
