To find the most reasonable estimate for the product of [tex]\(33 \times 32\)[/tex], let's go through the steps.
1. Estimate the Numbers:
- [tex]\(33\)[/tex] is close to [tex]\(30\)[/tex].
- [tex]\(32\)[/tex] is also close to [tex]\(30\)[/tex].
2. Simple Multiplication for Estimate:
- If we multiply these rounded numbers, [tex]\(30 \times 30 = 900\)[/tex].
3. Evaluate the Options:
- Compare 900 with the given options: 999, 90, 900, 9,000.
4. Consider the Exact Product:
- The exact product of [tex]\(33 \times 32\)[/tex] is 1056.
5. Choosing the Most Reasonable Estimate:
- Since 1056 is quite close to 900, and much farther from the other options, 900 is the most reasonable estimate for the product of [tex]\(33 \times 32\)[/tex].
Therefore, the most reasonable estimate for the product of [tex]\(33 \times 32\)[/tex] is indeed [tex]\(900\)[/tex].
