Question

Simplify the following expression by combining like terms: 522 + 62 â€" 3 + 4.2 82 + 2.

a. 605.4; 6 terms in the original, 3 terms in the simplified
b. 594.6; 5 terms in the original, 4 terms in the simplified
c. 613.8; 7 terms in the original, 2 terms in the simplified
d. 581.2; 8 terms in the original, 1 term in the simplified

Answer 1

The simplified expression after combining like terms is 605.4, with 6 terms in the original expression reduced to 3 terms in the simplified expression.

Step-by-step explanation:

The given expression to simplify is 522 + 62 - 3 + 4.2 - 82 + 2.

When combining like terms, we can add or subtract the numbers to simplify.

First, we combine all the constants: 522 - 3 - 82 = 437.

Next, we combine like terms with variables, which in this case are the terms 62 and 2, which add up to 64.

Therefore, the simplified expression is 437 + 64 + 4.2.

The final simplified expression, considering the proper number of significant figures, is 605.4.

There are 6 terms in the original expression and 3 terms after simplification.