Question

Express 8.21 as a mixed number.

Your number should be, a mixed number like 13/4.
Will fan and medal Please help Me.

Answer 1

the decimal terminates, how can i turn 8.32 into an integer?

Answer 2

ok and?

Answer 3

sorry 8.21

Answer 4

i dont understand

Answer 5

what happens when i multiply 8.21 by 10?

Answer 6

82.1

Answer 7

ok do it again...

Answer 8

82.1 ??????

Answer 9

no i mean what is 10 times 82.1?

Answer 10

ohh

Answer 11

811

Answer 12

is the answer 8/11 ?

Answer 13

you're overthinking it

Answer 14

?

Answer 15

just move the decimal like you did before

Answer 16

ummm...

Answer 17

how???????

Answer 18

ok, when you multiply a decimal number by 10, the position of the decimal point moves one place to the right

Answer 19

that is why 8.21 * 10 = 82.1

Answer 20

whats the Answer then?

Answer 21

i am trying to teach you in a way that you can do any problem of this type on your own. I am basically walking you through my thought process to get the answer.

Answer 22

ok

Answer 23

i almost have my break soon

Answer 24

ok i'll go faster.

Answer 25

thank you

Answer 26

8.21 * 10^2 = 821 (move the decimal two places to the right)
8.21=821/100
this is the final answer since the numerator and denominator have no prime factors in common

Answer 27

ok

Answer 28

the method is to multiply by 10^n where n=number of decimal places (only if finite)

Answer 29

so the answer would be then 821/100?

Answer 30

exactly

Answer 31

Thank you so much

Answer 32

\(\Large 8.{\color{red}{21}}\) means \(\Large 8 \text{ and }{\color{red}{21}} \text{ hundredths }\)


Since the "1" in \(\Large {\color{red}{21}}\) is in the hundredths place.


So you simply place that 21 over 100 like so

\(\Large 8.{\color{red}{21}} = 8 + \frac{{\color{red}{21}}}{100}\)

\(\Large 8.{\color{red}{21}} = 8\frac{{\color{red}{21}}}{100}\)

Answer 33

is that it?

Answer 34

that works too

Answer 35

Another example:

\[\Large 7.219 = 7\frac{219}{1000}\]

the "9" in "219" is in the thousandths decimal place, so we place 219 over 1000

Answer 36

what about 9.40404040...?

Answer 37

Let
x = 9.40404040...

Multiply both sides by 100 to get

100x = 940.404040...


Now subtract

100x - x = 940.404040... - 9.40404040...
99x = 931

Then solve for x


99x = 931
x = 931/99


So 931/99 = 9.404040404040...

Answer 38

the improper fraction \(\Large \frac{931}{99}\) is the same as the mixed number \(\Large 9\frac{40}{99}\)