Question

This question's title is clickbait.

Answer 1

Conner and Jana are multiplying (3568)(39610).


Conner's Work Jana's Work
(3568)(39610) = 35 + 968 + 10 = 314618 (3568)(39610) = 35⋅968⋅10 = 345680

Is either of them correct? Explain your reasoning.

Answer 2

Neither of them are correct because if you pick up a calculator and work it out the total comes to 141328480, but if you weren't allowed a calculator you could still tell their working is wrong because:
1) You can estimate their answers, which would result in an estimation no where near what they got
2) You cannot just add the digits by breaking them up or multiplying them together, as these values have 10's attathed to them as well, which they did not consider.

Answer 3

OHH lol should've specified they were using powers

Answer 4

Conner is correct - he added the powers while Janna multiplied them. Due to the rules of indices, when two terms have the same base you can add their powers when you multiply them together, but not times them.

Answer 5

@mangotangochick Powers? Sorry, not that good with math

Answer 6

Also, sorry I was AFK

Answer 7

@mangotangochick

Answer 8

Powers and indices are basically:

2 x 2 x 2 is also 2^3 (2 to the power of 3)

It means 2 multiples by itself 3 times :

2^3 = 8
because:
2x2 is 2^2 which is 4
so 2^2 times by 2 again gives 8
which is 2^3