Order of Operation

[BigBeachBanana]

[math]8 \div 2(2+2)=?[/math]

 

[blamocur]

[math]8 \div 2(2+2)=?[/math]

Is multiplication implied after the first '2' ? I.e.: [imath]8 \div 2 {\times} (2+2)[/imath] ?

 

[BigBeachBanana]

Is multiplication implied after the first '2' ? I.e.: [imath]8 \div 2 {\times} (2+2)[/imath] ?

Correct

 

[lev888]

[math]8 \div 2(2+2)=?[/math]

What is the applicable rule?

 

[Dr.Peterson]

[math]8 \div 2(2+2)=?[/math]

This is a classic controversy. Different people teach (or practice) different things. If your teacher says the implied multiplication should be executed before the division, then do that. Follow the rules used by people in your context, and don't make a fuss over it, just as I try not to be bothered by variations in English grammar or word choice around the world.

This is therefore ambiguous, and should not be written. Period. End of discussion.

 

[blamocur]

Correct

There is an interesting paragraph in https://en.wikipedia.org/wiki/Order_of_operations#Mixed_division_and_multiplication, and I find it amusing that there are no questions about [imath]a-b+c[/imath], but [imath]a/bc[/imath] is quite ambiguous. So I am sticking with LaTeX: it is either [imath]\frac{a}{bc}[/imath] or [imath]\frac{a}{b}c[/imath]

 

[Otis]

Following Order of Operations and meaning of a(b) as they were taught to me:

8 ÷ 2(2 + 2)

8 ÷ 2 × 4

16

?

[imath]\;[/imath]

 

[Deleted member 4993]

Following Order of Operations and meaning of a(b) as they were taught to me:

8 ÷ 2(2 + 2)

8 ÷ 2 × 4

16

?

[imath]\;[/imath]

and

8 ÷ (2+2)2 = 8 ÷ 4 × 2 = 2 × 2 = 4

 

[Steven G]

and

8 ÷ (2+2)2 = 8 ÷ 4 × 2 = 2 × 2 = 4

Yes! You finally learned the commutative law of multiplication. Good job!
I only wish that you would stop using the commutative law of division!