Question

Which would be the most appropriate way to estimate -6.1(0.22)? Check all that apply.

1)Use rounding to get -6(0.2), and then multiply.
2)Use compatible numbers, such as -6(0.5), and then multiply.
3)Use the benchmark numbers -6 and 1, and then multiply.
4)Use front-end estimation to get -6(0.2), and then multiply.
5)Round the factors to the nearest whole number, and then multiply.

Answer 1

The most appropriate ways to estimate -6.1(0.22) are rounding to get -6(0.2), using benchmark numbers -6 and 1, and using front-end estimation to get -6(0.2).

Step-by-step explanation:

The most appropriate ways to estimate -6.1(0.22) are:

1. Rounding to get -6(0.2) and then multiplying.
2. Using benchmark numbers -6 and 1, and then multiplying.
3. Using front-end estimation to get -6(0.2), and then multiplying.

In option 1, rounding -6.1 and 0.22 gives us -6 and 0.2 respectively. Multiplying -6 and 0.2 gives us -1.2, which is an estimate of -6.1(0.22). In option 2, benchmark numbers can be used to estimate the product. -6 is close to -5 and 1 is close to 1. Multiplying -5 and 1 gives us -5, which is an estimate of -6.1(0.22). In option 3, front-end estimation involves only considering the highest place value of both numbers. -6 is the highest place value of -6.1 and 0.2 is the highest place value of 0.22. Multiplying -6 by 0.2 gives us -1.2, which is an estimate of -6.1(0.22).