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Which two answer choices below would give you a value of 7 times smaller than (914 - 233)?
A) 914 ; 7-233; 7
B) (914 - 233) = 7
C) 913 = 7 -233
D) 914 - 233 = 7
Submit
Answers
Answer:
A [914 ÷ 7 – 233 ÷ 7] and B [(914 – 233) ÷ 7]
Explanation:
Order of Operations: P.E.M.D.A.S.
Parentheses (when working with operations in parentheses, follow the order below)
Exponents (expressions in exponents: follow order of operations)
Multiplication
Division
Addition
Subtraction
distinct operation: subtract 233 from 914
distinct operation: divide difference by 7
A is correct because it contains the actual division in parentheses. You would divide each number by 7 (thus, 7 times smaller) and then subtract the quotients. We simply divided first, thus rewriting (914 – 233) in a different form. We still get the same answer thanks to P.E.M.D.A.S. It is the same as distributing the division by 7 to each term using the Distributive Property.
B is correct because it includes the subtraction in parentheses. Therefore, you subtract 233 from 914 before dividing the difference by 7, exactly as the question asked. It is the same as factoring the division by 7 out of the subtraction as if it were a polynomial.
C is incorrect because it puts the division by 7 in between 914 and 233, meaning it divides 914 by 7 before subtracting 233 from the quotient
D is incorrect because there are no parentheses around the subtraction. According to P.E.M.D.A.S., we divide before we subtract. Because there are no parentheses, we divide 233 by 7 before subtracting the quotient from 914.
Hope this helps! Have a great day!
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