Question

I really need help with these questions:

what is the solution to (4 * 10^3) * (3 * 10^4) written in scientific notation?

Jonny spent 1/8 of his allowance on video games. What is the fraction of his allowance expressed as a decimal?

Find the product.
1/6 * 2/3

Answer 1

(4 * 10^3) * (3 * 10^4)

first step is to add the exponents together

so

10^3 times 10^4 = ?

Answer 2

7?

Answer 3

i guess

Answer 4

good

so

10^3 times 10^4 = 10^7

now we look at the non-exponent parts

3*4 = ?

Answer 5

12?

Answer 6

good

so

(4 * 10^3) * (3 * 10^4) = 12 * 10^7

last step is to rewrite in scientific notation, any ideas how to do that?

Answer 7

no, not really

Answer 8

start by dividing 12 by 10 to get 1.2
then multiply 10^7 by 10 to balance things out

what is 10^7 times 10?

Answer 9

oh wait! I do know!

Answer 10

go ahead

Answer 11

1200000.!
is that correct? what do you think?

Answer 12

not scientific notation

Answer 13

scientific notation looks like this:

X.X * 10^X

where the X's are numbers

Answer 14

oh woops
the way I was taught is by using zeros

Answer 15

nah don't apologize

let's go back to what i was saying before

what is 10^7 times 10?

Answer 16

100000000!
is this correct?

Answer 17

or...

Answer 18

in scientific notation please

Answer 19

10^7 * 10 = 10^____

fill in the blank

Answer 20

hint: add the exponents

Answer 21

10^7 * 10 = 1.2^8

Answer 22

almost

Answer 23

1.2*10^8

Answer 24

ready for the next?

Answer 25

yes

Answer 26

Jonny spent 1/8 of his allowance on video games. What is the fraction of his allowance expressed as a decimal?

well, let's start off with an easier question

what is 1/2 as a decimal?

Answer 27

0.5

Answer 28

good!

now, 1/4 is half of 1/2
so if 1/2 as a decimal is 0.5, what is 1/4 as a decimal?

Answer 29

0.125

Answer 30

well uh

1/4 as a decimal is 0.25
1/8 is 0.125

Answer 31

ready for the next?

Answer 32

oh wait! I just noticed that the fraction I was supposed to put into that question was 2/3! oops!

Answer 33

oh that's fine

Answer 34

well, 1/3 is 0.3333(repeated)

so what do you think 2/3 is?

Answer 35

0.- 6 (the line there is supposed to be on top of 6)

Answer 36

good!

Answer 37

ready for the last?

Answer 38

YES!!!
XD

Answer 39

I've never really been good with fractions though...

Answer 40

nah it's all good

1/6 * 2/3

start by multiplying the numerators (top numbers)

1*2 = 2

then multiply the denominators (bottom numbers)

6*3 = 18

then put 'em together to get

2/18

know how to simplify?

Answer 41

well..... not rly

Answer 42

just divide the numerator and denominator by 2

2/2 = 1
18/2 = 9

so 2/18 becomes 1/9 and that's it

Answer 43

WOW!!! Thanks a lot Vocaloid! You're so smart!!

Answer 44

np

Answer 45

:D