- #1

- 5

- 0

A) Half of 2+2

= (Half of 2) + 2

= (1) + 2

= 3

B) Half of 2+2

= Half of (2+2)

= (.5)(4)

= 2

Which answer is the correct way to express "half of two plus two"?

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- Thread starter riaudo
- Start date

- #1

- 5

- 0

A) Half of 2+2

= (Half of 2) + 2

= (1) + 2

= 3

B) Half of 2+2

= Half of (2+2)

= (.5)(4)

= 2

Which answer is the correct way to express "half of two plus two"?

- #2

- 806

- 23

- #3

- 11

- 0

I believe it's A, but Number Nine's right. We have no way to be sure...

- #4

DaveC426913

Gold Member

- 19,301

- 2,787

It is not ambiguous; there are no brackets or parentheses, only arithmetical operators.

The http://en.wikipedia.org/wiki/Order_of_operations#Easy_Remembering" rule tells us to apply multipliers first then adders.

The word "of" is english-speak for "multiply" (eg.: "1/2

Since the question is

1/2 x 2 = 1

+ 2 = 3

Last edited by a moderator:

- #5

- 906

- 48

In any 'unbracketed' function, it always goes division first, then multiplication, add, then subtract.

It is, therefore, 3.

With that rule, you can freely write, for example, A+B/2 and it unambiguously means [A]+[B/2], or 3-1+2=4.

- #6

- 806

- 23

In any 'unbracketed' function, it always goes division first, then multiplication, add, then subtract.

It is, therefore, 3.

With that rule, you can freely write, for example, A+B/2 and it unambiguously means [A]+[B/2], or 3-1+2=4.

This isn't a issue of orders of operation, it's a language issue. The fact it, someone saying "half of two plus two" is ambiguous unless you have certain knowledge that they have considered the order of operations when formulating the sentence. Grammar and pragmatism are different things, and plenty of people would say "half of two plus two" to mean half of the sum of two and two.

- #7

DaveC426913

Gold Member

- 19,301

- 2,787

Wiki says it is MDAS (PEMDAS). That's what I was taught. Multiply then divide.I was taught, at an early age, ' DMAS ' was the rule.

In any 'unbracketed' function, it always goes division first, then multiplication, add, then subtract.

For for this question, it is moot.

- #8

berkeman

Mentor

- 59,319

- 9,457

A) Half of 2+2

= (Half of 2) + 2

= (1) + 2

= 3

B) Half of 2+2

= Half of (2+2)

= (.5)(4)

= 2

Which answer is the correct way to express "half of two plus two"?

Please see this stickie thread at the top of this General Math forum:

https://www.physicsforums.com/showthread.php?t=494675

That and the language issue discussed in this thread should help you understand.

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