Question

how to convert 100 yards to meters? ( please show the process)

Answer 1

how many cm's in 1 inch?

Answer 2

2.54

Answer 3

site is a bit laggy...

Answer 4

\(\bf \left(\cfrac{1\cancel{ in }}{2.54\cancel{ cm }}\cdot \cfrac{100\cancel{ cm }}{1m}\cdot \cfrac{1yd}{36\cancel{ in }}\right)\cdot 100\\
\qquad \qquad \uparrow \\
\textit{how many yards in 1meter}
\)

Answer 5

I dont get it

Answer 6

notice the measures equivalents

1in to 2.54cm
100cm in 1m
1yd to 36in

then you cancell those units out.. and mulitply the fractions
to get how many "yards in 1 meter"

you got 100 yards.... thus multiply that much times 100

Answer 7

you'd usually put those equivalents in a fraction like above
and simply put one above the other.... doesn't quite matter which goes above or below

so you arrange them in a way that cancels out

so in this case I wanted so cancel out say "cm"
so in one of the fractions is below
and
in another fraction is above
so it cancels out

Answer 8

the unit cancels out....but the value.... needs to be multiplied across, like in any fraction multiplication

Answer 9

so in the end the only units left, are "yards" and "meters"

Answer 10

now i think i get it thanks

Answer 11

\(\bf \left(\cfrac{1\cancel{ in }}{2.54\cancel{ cm }}\cdot \cfrac{100\cancel{ cm }}{1m}\cdot \cfrac{1yd}{36\cancel{ in }}\right)\cdot 100\\
\qquad \qquad \uparrow \\
\textit{how many yards in 1meter}
\\ \quad \\
\implies \left(\cfrac{1}{2.54}\cdot \cfrac{100}{1}\cdot \cfrac{1}{36}\right)\cdot 100\implies \left(\cfrac{1\cdot 100\cdot 1}{2.54\cdot 1\cdot 36}\right)\cdot 100\)

Answer 12

yw