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Updated almost 14 years ago on . Most recent reply

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Nick J.
  • Residential Real Estate Broker
  • Payson, AZ
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Math Question

Nick J.
  • Residential Real Estate Broker
  • Payson, AZ
Posted

‎48÷2(9+3)

2 or 288?

Discuss....

Most Popular Reply

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Jon Holdman
  • Rental Property Investor
  • Mercer Island, WA
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Jon Holdman
  • Rental Property Investor
  • Mercer Island, WA
ModeratorReplied

288.

There's nothing to discuss. Its an operator precedence question. Precedence rules state parenthesis first, then multiplication and division, then addition and subtraction. There is an implicit multiplication operation between 2 and (9+3). Within addition and subtraction or within multiplication and division, you evaluate left to right.

So, first evaluate the parenthesis:
48÷2(9+3) = 48÷2(12)
Make the implicit multiplication explicit:
48÷2(12) = 48÷2*12
Evalute the division (left to right)
48÷2*12 = 24 * 12
Evaluate the multiplication
24 * 12 = 288

To get a result of 2, you would have to get improperly evaluate 2 * 12 = 24 before doing the division.

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