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

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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;

[tex]1 m = 100 cm[/tex]

[tex]1 inches = 2.54 cm[/tex]

[tex]1 ft = 12 inches[/tex] and

[tex]1 yard = 3 ft[/tex]

1 ft = 12 inches

3 ft = [tex]3 \times 12 = 36 inches[/tex]

Since,

1 inches  = 2.54 cm

36 inches = 91.44 cm

Also,

1 m = 100 cm

or

1 cm = [tex]\frac{1}{100} m[/tex]

then;

91.44 cm = [tex]\frac{91.44}{100} =0.9144 m[/tex]

⇒ 1 yards = 0.9144 m

Divide both sides by 0.9144 we get;

1 meter = [tex]\frac{1}{0.9144} = 1.0936133[/tex] yards.

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


Answer:

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Step-by-step 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)