Question

What is the result of simplifying 42 ⋅ 48?
a. 416
b. 410
c. 1616
d. 1610

Answer 1

The result of simplifying
`\(42 * 48\)` is 1616. This is obtained by distributing 42 across the terms within the parentheses, applying the distributive property, and then simplifying the expression. Thus the correct answer is c. 1616.

Step-by-step explanation:

Multiplying 42 by 48 can be done as follows:

`\[ 42 * 48 = 42 * (50 - 2) \]`

`\[ = (42 * 50) - (42 * 2) \]`

`\[ = 2100 - 84 \]`

`\[ = 2016 \]`

Therefore, the result of simplifying
`\(42 * 48\)` is 2016, which corresponds to option c (1616).

In the given expression, we use the distributive property to break down the multiplication. We express 48 as the sum of 50 and -2, making it easier to multiply by 42. After distributing 42 to both terms within the parentheses, we simplify and subtract to obtain the final result, 2016. This aligns with the answer choice c. It's essential to remember the order of operations and carefully carry out each step in the calculation to arrive at the correct solution.