Question

How many yards are in 7 miles?

Answer 1

Hint: Now the given question is a basic conversion question. So first we have to find the general equation explaining the relationship between the given two units. After that we have to find the specific value for the value given in the question. So by following the above steps we can solve the above question.

Complete step-by-step solution:
Given
$7\;{\text{miles}}...............................\left( i \right)$
Now we know that mile is a unit of distance widely popular in the European countries. It is represented by the symbol\[{\text{mi}}\].
Also it’s a common knowledge that:
$1{\text{mile = }}1609{\text{ metres, }}5280{\text{ feet, }}1760{\text{ yard}}\;........................\left( {ii} \right)$
Now the yard is also another unit of length which comes under several systems. Now the yard is represented by the symbol${\text{yd}}$.
Now in order to find the general equation explaining the relationship between the given two units we can use the equation (ii), such that we can write:
\[1{\text{mi = }}1760{\text{yd}}.................................\left( {iii} \right)\]
Now from (iii) we have got the general value of$1{\text{mi}}$.
Such that we can find the value of $7{\text{mi}}$in yards by using the relation in (iii).
We have \[1{\text{mi = }}1760{\text{yd}}\]so for finding the value of \[7{\text{mi}}\]we just have to multiply the LHS and RHS in (iii) with$7$.
So we can write:
\[
   \Rightarrow 1{\text{mi = }}1760{\text{yd}} \\
   \Rightarrow 7{\text{mi = 7}} \times 1760{\text{yd}} \\
   \Rightarrow 7{\text{mi = 12320yd}}..........................\left( {iv} \right) \\
 \]


Therefore on converting \[7{\text{miles}}\]to yards we get\[{\text{12320yd}}\].

Note: While approaching similar conversion questions the above method is widely preferred. Also some other units of length are:
-Meter is the unit of length in the metric system and it is also the basic unit of length in the International System of Units (SI).
-Millimeter is a unit of length in the metric system and its equivalent to one thousandth of a meter.