Question

Find the height of a person who is 1.7 m tall, in feet and inches, rounded to the nearest inch (NOTE: 1 foot = 12 inches).
ft. in.

Answer 1

so on the last problem you saw how dan multiplied by something equivalent to 1 to change the units, can you figure out what that is here?

Answer 2

lol sorry fibonacci, you can take this one

Answer 3

can you erase your comment then? It sort of gives the answer away

Answer 4

yes

Answer 5

thanks :)

Answer 6

so, like I was saying, you need something called the conversion factor, this is a fraction that is equivalent to 1 which goes between the units you are working with. Do you know it for m to cm?

Answer 7

yes we muliply

Answer 8

by what? What is our conversion factor?

Answer 9

100

Answer 10

for meters to centimeters we multiply by 100?

Answer 11

no we multiply by 10

Answer 12

I don't think we do that either

Answer 13

how many cm are in a meter?

Answer 14

1 cm in 100 meter

Answer 15

A cm is bigger than a meter?

Answer 16

no sorry cm is smaller 100 meter in 1 cm

Answer 17

you said the same thing again

Answer 18

cm is smaller than meter

Answer 19

that is correct, but you need the number of cm in a meter

Answer 20

ok which number

Answer 21

well, you should know this. if you do not, a google search will bring it up very quickly.

Answer 22

what does 'centi' stand for?

Answer 23

EX] If you have 6 apples, and 8 oranges equals 3 apples, how many oranges do you have?

Answer 24

how many 'cents' are in a dollar?

Answer 25

\[\frac{ 6 apples}{ 1 }\frac{ 8 oranges }{ 3 apples }\]

Answer 26

100 cents

Answer 27

ok so what does cent mean?

Answer 28

18/ 8

Answer 29

100 cents in one dollar

Answer 30

so centi stands for \(\frac{1}{100}\)

Answer 31

therefore, how many centimeters are in a meter?

Answer 32

100

Answer 33

am i right?

Answer 34

that is correct. 100cm in 1 m

Answer 35

now, that is your first conversion factor.

Answer 36

the next one you need is how many centimeters are in an inch

Answer 37

2.54

Answer 38

in a sentence please

Answer 39

there is 2.54 centi in 1 inch

Answer 40

ok so now, how about inches to feet?

Answer 41

12 inches in one foot

Answer 42

good, so now, you have all of your conversion factors it is time to set up your dimensional analysis. we start with \[ \frac{1.7m}{1} \times \frac{?}{?} \times \frac{?}{?} \times \frac{?ft}{?}\]

Answer 43

so, you need to set up your conversion factors so that the units cancel out and you are left with feet. Please do so

Answer 44

what goes where

Answer 45

that's for you to decide.

Answer 46

You need your units to cancel.

Answer 47

1.7m/1 = 170m

Answer 48

i got my answer as 5 feet 7 inches

Answer 49

am i right?

Answer 50

no, how did you get that?

Answer 51

1.7 meters is 5.58 feet or 66.93 inches

12 inches = 1 foot.

Answer 52

please use the fractions I have set up

Answer 53

wait I'm sorry, that may be correct

Answer 54

I was reading that as 170 meters for some reason

Answer 55

oh that is because you said 1.7 m=170?

Answer 56

but anyways, your answer is correct but I have no clue how you did it since you didn't show your work.

Answer 57

so am i right? 5'7''

Answer 58

I wish you would show the work, but yes