Question

How close are a meter and a yard? Convert, 1 meter into yards by using the fact that there are 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard. Round your answer to the nearest tenth of a yard

Answer 1

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Explanation:

To convert 1 meter into yards

Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.

we can write these as;

and

1 ft = 12 inches

3 ft =

Since,

1 inches = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm =

then;

91.44 cm =

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter = yards.

Therefore, the answer is, 1 m = 1.1 yards (nearest to tenth)

Answer 2

To convert 1 meter into yards

Using the given facts : 100 centimeters in a meter, 2.54 centimeters in an inch, 12 inches in a foot, and 3 feet in a yard.

we can write these as;

`1 m = 100 cm`

`1 inches = 2.54 cm`

`1 ft = 12 inches` and

`1 yard = 3 ft`

1 ft = 12 inches

3 ft =
`3 * 12 = 36 inches`

Since,

1 inches = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm =
`(1)/(100) m`

then;

91.44 cm =
`(91.44)/(100) =0.9144 m`

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter =
`(1)/(0.9144) = 1.0936133` yards.

Therefore, the answer is, 1 m = 1.1 yards (nearest to tenth)