Question

a student received a coupon for 10% off the total purchase price at a clothing store. let d be the original price of the purchase. use the expression below for the new price of the purchase. write an equivalent expression by combining like terms.
d - 0.1d

d - 0.1d = \square

Explanation:

Step1: Factor out d

We can factor out the common term \( d \) from the expression \( d - 0.1d \). Using the distributive property \( ab - ac = a(b - c) \), here \( a = d \), \( b = 1 \), and \( c = 0.1 \). So we get \( d(1 - 0.1) \).

Step2: Simplify the expression inside the parentheses

Calculate \( 1 - 0.1 \), which equals \( 0.9 \). Then multiply by \( d \), so \( d\times0.9 = 0.9d \).

Answer:

\( 0.9d \)