Question

Which expression is equivalent to X times 38

A. (x times 30) +8
B. (x times 3) times 8
C. (x times 30) + (x times 8)
D. (x times 3) + 8

Answer 1

The expression equivalent to X times 38 is found by applying the distributive property, and the result is (X times 30) + (X times 8). This corresponds to option C from the given choices.

Step-by-step explanation:

The question asks for an expression that is equivalent to X times 38. To find an equivalent expression, we should apply the distributive property of multiplication over addition. This property states that a(b + c) is equal to ab + ac. Therefore, we want to distribute X across the sum of 30 and 8 to get an expression equivalent to X times 38.

Using the distributive property, we can express X times 38 as X times (30 + 8) which simplifies to (X times 30) + (X times 8). This shows that the correct answer from the given options is C. (x times 30) + (x times 8).

It's important not to confuse this with other operations, such as adding exponents in multiplication or manipulating exponents in scientific notation, which are different mathematical processes.