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Darya [45]
3 years ago
7

Can earn 10 coins

Arts
1 answer:
Butoxors [25]3 years ago
7 0

Answer:

<u>A</u> [914 ÷ 7 – 233 ÷ 7] and <u>B</u> [(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 <em><u>correct</u></em> because it <u>contains the actual division in parentheses</u>. You would <u>divide</u> each number by 7 (thus, <em>7 times smaller</em>) and then <u>subtract</u> the quotients. We simply <em>divided first</em>, thus <em>rewriting</em> (914 – 233) in a <em>different</em> <em>form</em>. We still get the same answer thanks to P.E.M.D.A.S.  It is the same as <u>distributing the division by 7</u> to <u>each term</u> using the Distributive Property.

B is <em><u>correct</u></em> because it <u>includes the subtraction in parentheses</u>. Therefore, you <em>subtract 233 from 914</em> before <em>dividing the difference by 7</em>, exactly as the question asked. It is the <em>same</em> as <u>factoring the division by 7</u> out of the subtraction as if it were a polynomial.

C is <u><em>incorrect</em></u> because it puts the division by 7 in between 914 and 233, meaning <em>it divides 914 by 7</em> before <em>subtracting 233 from the quotient</em>

D is <u><em>incorrect</em></u> because there are <u>no parentheses around the subtraction</u>. According to P.E.M.D.A.S., we divide before we subtract. Because there are <u>no parentheses</u>, we <em>divide 233 by 7</em> before <em>subtracting the quotient from 914</em>.

Hope this helps! Have a great day!

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