High School

Of the following, which best approximates [tex]93,805,674 \times 97[/tex]?

A. 93,000,000,000
B. 9,300,000,000
C. 930,000,000
D. 93,000,000
E. 9,300,000

Answer :

The product of 93,805,674 and 97, when approximated, is closest to the option 9,300,000,000 (b). This is achieved by rounding the numbers to 90,000,000 and 100, respectively, and then multiplying.

The product of 93,805,674 and 97. To estimate, we can round the numbers to their most significant digits and then multiply. Rounding 93,805,674 to its most significant digits gives us 90,000,000 (since 3,805,674 is closer to 0 than to 10,000,000). Similarly, 97 can be rounded to 100 for estimation purposes. We then multiply the rounded numbers: 90,000,000 x 100 = 9,000,000,000. Among the given options, the closest to our approximation is 9,300,000,000 (b).