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How did Ryder use front-end estimation to estimate the product of (-24.98)(-1.29), and what was his estimated result?

A) -32
B) -20
C) 20
D) 32

User SonalPM
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1 Answer

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Final answer:

Using front-end estimation, Ryder approximated the product of (-24.98)(-1.29) to be 20 by rounding to the nearest tens for -24.98 and to the nearest whole number for -1.29.

Step-by-step explanation:

Ryder used front-end estimation to estimate the product of (-24.98)(-1.29), which is a method for approximating the result of arithmetic operations quickly. In this estimation method, numbers are rounded to the highest place value, but in a way that’s more intuitive, focusing on the front digits.

For the number -24.98, one would round to -20 (the number starts with -2 and it's closest to -20), and for -1.29, one would round to -1. Assuming positive numbers during the multiplication, 20 multiplied by 1 equals 20. Since both numbers in the original expression are negative, the estimated result is positive. Therefore, the estimated result is 20.

Front-end estimation is a method used to quickly estimate the product of two numbers by rounding them to the nearest whole number or a convenient number. In this case, Ryder used front-end estimation to estimate the product of (-24.98)(-1.29). Let's round -24.98 to -25 and -1.29 to -1. The estimated result would be -25 x -1, which is 25. So, his estimated result was 25.

User Matthew Butterick
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