Question

What is another way to write the expression r ⋅ (18-3)?

1) r ⋅ 18-3
2) r times 18 minus 3
3) (r ⋅ 18)-3
4) (r ⋅ 18)-(r ⋅ 3)
5) (r ⋅ 18) ⋅ 3

Answer 1

The correct rewrite of the expression r · (18-3) is (r · 18) - (r · 3), which involves distributing 'r' to both terms inside the parentheses according to the distributive property of multiplication.

Step-by-step explanation:

To rewrite the expression r · (18-3), we need to distribute the 'r' to both terms inside the parenthesis. The proper distributive property process is to multiply 'r' with '18' and also with '-3', thus the correct expression using this property is: (r · 18) - (r · 3)

This corresponds to the fourth option given. It is important to note that in mathematics, expressions can sometime be written in different forms, but it doesn't change the final value. For example, if we were to evaluate this expression for r = 2, both the original and rewritten expressions would yield the same numerical result: 2 · (18 - 3) = 2 · 15 = 30 and (2 · 18) - (2 · 3) = 36 - 6 = 30.