48÷2(9+3) = ???

[frankenbeemer]

Does implied multiplication and explicit multiplication have the same precedence on TI graphing calculators?


Implied multiplication has a higher priority than explicit multiplication to allow users to enter expressions, in the same manner as they would be written. For example, the TI-80, TI-81, TI-82, and TI-85 evaluate 1/2X as 1/(2*X), while other products may evaluate the same expression as 1/2*X from left to right. Without this feature, it would be necessary to group 2X in parentheses, something that is typically not done when writing the expression on paper.

This order of precedence was changed for the TI-83 family, TI-84 Plus family, TI-89 family, TI-92 Plus, Voyage™ 200 and the TI-Nspire™ Handheld in TI-84 Plus Mode. Implied and explicit multiplication is given the same priority.

[frankenbeemer]

How do you suggest it's properly written then? "÷" and "/" are the same thing, and correctly written out 48 is over the rest.

Do you still assert that every operation after the division sign is now part of the denominator?

[ck_taft325is]

It's fucking 2.

[frankenbeemer]

Divide is before Multiply in the BEDMAS order of operations.

48÷2(9+3) = X

48÷2(12) = X

24(12) = X

288 = X

Do you still believe this? Seems like the right answer for the wrong reasons.

[frankenbeemer]

As has been stated countless times before, 2(9+3) is NOT THE SAME as 2*(9+3).

Please provide a citation for this claim.

[lambo]

2(9+3) isn't exactly 2*(9+3), though you get the same value if that's those are the only terms.

You have to use the distributive property first if 2(9+3) is associated with anything else. You have no choice but to get 24 from it, THEN you divide 48 by it.

How is 2(9+3) not the same as 2*(9+3)? They both state 2 multiplied by the quantity (9+3). 2(9+3) is just a condensed form of writing it. If they wanted you to use the distributive property before dividing 48 by 2, they would have put parentheses around 2(9+3)...since they didn't you have to go left to right...

[Raxe]

No, you gotta look at the entire equation, not just a snip of it.

48 / 2(9+3)

= 48 / 2 x (9+3)

= 24 x (9+3)

= 24 x 9 + 24 x 3 (distributive applies here, no earlier)

= 288

IF it is 48/ [2(9+3)], then:

= 48 /[2x9 + 2x3] (distributive applies earlier)

= 48 / 24

= 2

You can't just keep pulling the 2 away from the brackets. There is no multiplication sign and in mathematics you can't add things "just because." It's attached to the brackets, it affects the brackets and it's distributed into the brackets. As has been stated countless times before, 2(9+3) is NOT THE SAME as 2*(9+3).

[ck_taft325is]

It's 2.

[WhatWentWong]

I give up.

[TomSuddard]

If you really want to get technical about it, distribute the 2 first.

48÷2(9+3)
48÷(2(9)+2(3))
48÷(18+6)
48÷24
2

[TomSuddard]

I only made it to page 3 before posting, but seriously????

IT IS TWO YOU IDIOTS!

[WhatWentWong]

2(9+3) isn't exactly 2*(9+3), though you get the same value if that's those are the only terms.

You have to use the distributive property first if 2(9+3) is associated with anything else. You have no choice but to get 24 from it, THEN you divide 48 by it.

No, you gotta look at the entire equation, not just a snip of it.

48 / 2(9+3)

= 48 / 2 x (9+3)

= 24 x (9+3)

= 24 x 9 + 24 x 3 (distributive applies here, no earlier)

= 288

IF it is 48/ [2(9+3)], then:

= 48 /[2x9 + 2x3] (distributive applies earlier)

= 48 / 24

= 2

[5Toes]

Yessir

[Matt-B]

Ken, you speak the truth, I passed math, and its 2

[KenC]

2(9+3) isn't exactly 2*(9+3), though you get the same value if that's those are the only terms.

You have to use the distributive property first if 2(9+3) is associated with anything else. You have no choice but to get 24 from it, THEN you divide 48 by it.