Write the following statements as a mathematical expression using parentheses and brackets, and then evaluate.
-Divide 400 by 10. Subtract from this quotient the sum of 1 and 4.
A) (1 + 4) - (400 ÷ 10) = -35
B) (400 ÷ 10) - 1 + 4 = 43
C) 400 ÷ 10 - (1 + 4) = 35
D) 400 ÷ [10 - (1 + 4)] = 80

Question

Quizplus · Accepted Answer

Using the order of operations:

1. Parentheses first: (1 + 4) = 5 
2. Then, add within the parentheses: 400 ÷ 10 = 40 
3. Finally, subtract: 40 - 5 = 35

Therefore, option C is the correct expression and the answer is 35. Option D is also mathematically correct but not equivalent to the given statement. The expression "Divide 400 by 10" can be written as 400 ÷ 10.
The expression "the sum of 1 and 4" can be written as (1 + 4).
Therefore, the expression "Divide 400 by 10. Subtract from this quotient the sum of 1 and 4" can be written as 400 ÷ 10 - (1 + 4).
Simplifying this expression: 
400 ÷ 10 = 40
1 + 4 = 5
The expression becomes 40 - 5 = 35.

Write the Following Statements as a Mathematical Expression Using Parentheses