Use rounding to estimate the product. 4 3/4 × 7 2/17
A. About 28
B. About 32
C. About 35
D. About 40
4 3/4 is about 5, and 7 2/17 is about 7. Since we are multiplying, it would be
5 x 7. 5 x 7 = 35, so the product is about 35.
To estimate the product of 4 3/4 and 7 2/17 using rounding, we can follow these steps:
Step 1: Convert the mixed numbers into improper fractions.
4 3/4 = (4 * 4 + 3)/4 = 19/4
7 2/17 = (7 * 17 + 2)/17 = 123/17
Step 2: Round the fractions to the nearest whole number.
19/4 is close to 5 because 19/4 = 4.75, which is closer to 5 than 4.
123/17 is close to 7 because 123/17 = 7.235, which is closer to 7 than 8.
Step 3: Multiply the rounded whole numbers.
5 * 7 = 35
So, using rounding, the estimated product of 4 3/4 and 7 2/17 is about 35. Therefore, the answer is C. About 35.