Question

Which expression is equivalent to 6(3+0.05)?

A. 6(3)+0.05

B. (6+3)+(6+0.05)

C. 6(3)+6(0.05)

D. 6(3)×6(0.05)

Answer 1

$\huge{\boxed{6(3)+6(0.05)}}$

The distributive property shows that you need to multiply the $6$ separately by each term in the parentheses. This means you multiply $6*3$ and $6*0.05$, then add them together to get $6*3+6*0.05$, or in the terms of your answer choices, $\boxed{6(3)+6(0.05)}$.

Answer 2

Option C is correct. The required equivalent expression will be  6(3)+6(0.05)

Given three values A, B and C expressed as A(B+C)

Using the law of distribution

A(B+C) = AB + AC

Applying this law on the expression 6(3+0.05)

6(3+0.05) = 6(3) + 6(0.05)

hence the required equivalent expression will be  6(3)+6(0.05)

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