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

Answer:

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 = $3 \times 12 = 36 inches$

Since,

1 inches  = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm = $\frac{1}{100} m$

then;

91.44 cm = $\frac{91.44}{100} =0.9144 m$

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter = $\frac{1}{0.9144} = 1.0936133$ yards.

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