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Mathematics 17 Online
OpenStudy (anonymous):

16 yd =(about) ____ m???? PLEASE HEELLPP (6thh grader!)

OpenStudy (anonymous):

\[16 yd \approx ? m\]

OpenStudy (phi):

To do conversions you need to know the conversion factor. For example, 1 yard = 0.9144 meters or 1 meter = 1.0936 yards use the ratio (one over the other) to do a conversion. Here is one ratio: \( \frac{0.9144 \text{ meters}}{1 \text{ yard}} \) Now to do a conversion from yards to meters you multiply yards by \( \frac{0.9144 \text{ meters}}{1 \text{ yard}} \) For example: \( 16 \text{ yards}\cdot\frac{0.9144 \text{ meters}}{1 \text{ yard}} \) notice that if we treat the yards like a variable, we can cancel it from the top and bottom \( 16 \cancel{\text{ yards}}\cdot\frac{0.9144 \text{ meters}}{1 \cancel{\text{ yard}} }\) and you are left with a problem in arithmetic: \( 16 \cdot 0.9144 \) meters= 14.63 meters

OpenStudy (anonymous):

I Get it thanks lol

OpenStudy (phi):

The trick is to know which numbers to multiply.

OpenStudy (anonymous):

yeah haha YOu explained like EXACTLY in the book

OpenStudy (phi):

So how do you convert 1 meter to 1 yard?

OpenStudy (phi):

you multiply 1 meter \( \cdot \frac{1 \text{ yard}}{0.9144 \text{ meters}} \) notice we flipped the ratio because we want the meters to cancel and the yards to survive.

OpenStudy (anonymous):

o.O i just got the number of google than multiplied it by 16.. hehe

OpenStudy (phi):

If you want, you can just type 16 yards in meters= in the google search window. But it makes sense to learn how to do this. It is called learning how to think

OpenStudy (anonymous):

I Don't Get it? :/

OpenStudy (anonymous):

I tried but it just doesn't hit me

OpenStudy (anonymous):

how do you figure out like 1 yd = ? m

OpenStudy (phi):

First, can you figure out 2*0.9144 ? (I want to know how much you know)

OpenStudy (phi):

Do you need a calculator or can you do it by hand?

OpenStudy (anonymous):

\[0.9144 \times 2 = 1. 8288 \]

OpenStudy (anonymous):

right?

OpenStudy (phi):

yes. Can you do it by hand?

OpenStudy (phi):

or do you need a calculator?

OpenStudy (phi):

Maybe this will help you figure out how to do conversions. I tell you there are 2 shoes in a box, and you have 2 boxes. How many shoes do you have?

OpenStudy (phi):

2 shoes = 1 box as a ratio of one over the other \( \frac{ 2 \text{ shoes}}{1 \text{ box}} \) multiply by 2 boxes: \( 2 \cancel{\text{ box}}\cdot \frac{ 2 \text{ shoes}}{1 \cancel{\text{ box}}} =2\cdot 2 \text{ shoes}= 4 \text{ shoes}\)

OpenStudy (phi):

It is the same idea for yards to meters. (Except the numbers are uglier) There are 0.9144 meters in a yard. As a ratio \( \frac{0.9144 \text{ meter}}{ 1 \text{ yard}} \) multiply 1 yard by this ratio: \( 1 \cancel{\text{ yard}} \cdot \frac{0.9144 \text{ meter}}{ 1 \cancel{\text{ yard}}} \) you get 0.9144 meters

OpenStudy (anonymous):

i did it by hand

OpenStudy (anonymous):

4 shoes

OpenStudy (phi):

So now do it using the ratio idea. (see post up above)

OpenStudy (anonymous):

so this is problem 9

OpenStudy (phi):

?

OpenStudy (anonymous):

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