Question

Divide (10 × 1017) ÷ (100 × 1013). Express the answer in scientific notation

Answer 1

\[\Large \frac{10 \times 10^{17}}{100 \times 10^{13}}\]

Remember this \[\Large x^m \times x^n = x^{m+n}\]\[\Large \frac{x^m}{ x^n} = x^{m-n}\]

Answer 2

No to make it easier ;

do you know what is \(\large 10^2 \) ??

Answer 3

100

Answer 4

Ok now the denominator can be written as \(\large 10^2 \times 10^{13} \) ok?

Answer 5

did you understand this part?

Answer 6

yea but i cant get what 10^13 is

Answer 7

Its there in your Question!

Answer 8

\[\Large \frac{10 \times 10^{17}}{100 \times 10^{13}} = \Large \frac{10 \times 10^{17}}{10^2 \times 10^{13}}\]

Answer 9

Is this part clear?

Answer 10

1.00 × 10^3

1.00 × 10^30

0.10 × 10^4

0.10 × 10^30

these are the answers i can pick from

Answer 11

well, i can't pick an answer for you but i can help you to get one ;)

Answer 12

i know

Answer 13

What is 10 x \(10^{17} \) = ?

Answer 14

\[\large 10 \times 10^{17} = 10^1 \times 10^{17}= 10^{1+17}= 10^{18}\]

i used this formula \[\Large x^m \times x^n = x^{m+n}\]

Answer 15

Now can you tell me what is \(\large 10^2 \times 10^{13} \)=?

Answer 16

10^15

Answer 17

Right!

now we have \[\Large \frac{10^{18}}{10^{15}}\]

Now use this formula \[\Large \frac{x^m}{ x^n} = x^{m-n}\]

what will you get ?

Answer 18

1^3

Answer 19

1^3 ?

Answer 20

you mean 10^3?

Answer 21

so u dont do 10 divided by 10

Answer 22

Nope as i said \[\Large \frac{x^m}{ x^n} = x^{m-n} \] For example :\[\Large \frac{10^5}{10^2}= 10^{5-2} = 10^3\]

Just like we did before
\[\Large 10^5 \times 10^2 = 10^{5+2}= 10^7\]

When we have to multiply with same bases we just add the powers & when its division we subtract the powers

so \[\large \frac{10^{18}}{10^{15}} = 10^{18-15}=10^3\]

got this much?

Answer 23

got it

Answer 24

ok so according to your choices your answer will be 1.00 x \(10^3\)

since 1.00 is same as 1 and when you multiply 1 with any number you get the same number.

understood?

Answer 25

thank u so much

Answer 26

Anytime :)

Answer 27

Remember both the formulas ,It will be usefull for similar problems (There's nothing to memorise anyways, its easy :D )

Answer 28

i am doing an online class and there is nobody to show me how it is done. and no 2 problems are alike

Answer 29

You can use Openstudy! to clear your doubts :)

Answer 30

do u have time to help me with one more

Answer 31

Multiply (3.6 × 10^15) × (8 × 10^21). Express the answer in scientific notation

Answer 32

First do 3.6 x 8

Answer 33

28.8

Answer 34

Now do 10^15 x 10^21

Answer 35

10^36

Answer 36

Very Good!

so the answer is?

Answer 37

28.8X10^36

Answer 38

Well in the Scientific form we can only have 1 digit before the decimal

here we have 28.8 that is 2 numbers before decimal

so we multiply and divide by 10
\[\Large 28.8 \times 10^{36} \times \frac{10}{10}= \frac{28.8}{10} \times 10^{36} \times 10 = 2.88 \times 10^{36} \times 10 \]

10^36 x 10 = 10^37

so answer is 2.88 x 10^37

Answer 39

ok

Answer 40

Which number is greater than 3.25 ×10^30. now i have some of these

Answer 41

Please post it as New question! some one else might help :)

I've to leave now! Bye!