Question

Translate the word phrase, "the product of 2.5 and the difference of 2 and -6," into a numerical expression.

A) 2.5 + 2 - (-6)
B) 2.5 * 2 - (-6)
C) 2.5(2 - (-6))
D) 2 - (-6) * 2.5

Answer 1

The correct translation of the word phrase into a numerical expression is '2.5(2 - (-6))', which represents the product of 2.5 and the sum of 2 plus 6.

Step-by-step explanation:

To translate the word phrase, "the product of 2.5 and the difference of 2 and -6" into a numerical expression, we first find the difference of 2 and -6 and then multiply the result by 2.5. The difference of 2 and -6 is calculated as 2 - (-6), which equals 2 + 6 resulting in 8. We then take that result and multiply by 2.5, giving us 2.5 * 8, which is 20. The numerical expression that matches this operation is C) 2.5(2 - (-6)).