In order to make a shirt $ 2m\;25cm $ cloth is needed. What length of cloth is required to make an $ 18 $ such shirt?
Answer
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Hint: Here first of all we will convert the given measure of cloth in one system of units using the correlation between the meters and the centimeters. Here we are given the measure for one shirt and required for $ 18 $ shirts by using the multiplication.
Complete step-by-step answer:
We know the correlation between meters and centimeters and can be given by –
$ 1m = 100cm $
Given that one shirt requires $ 2m\;25cm $
Now,
$
100cm = 1m \\
25cm = ? \;
$
Perform cross multiplication for the above expression –
$ = \dfrac{{25}}{{100}} $
Simplify the above expression by converting the fraction in the form of decimal
$ = 0.25 $
Now, the total length of cloth required for one shirt is $ = 2 + 0.25 = 2.25m $
Now, $ 1 $ shirt $ = 2.25m $ cloth
$ 18 $ shirts $ = ? $
Perform cross multiplication –
$ = \dfrac{{18 \times 2.25}}{1} $
When there is one in the denominator, the term can be written as the numerator only.
$ = 18 \times 2.25 $
Find the product of the terms in the above expression –
$ = 40.5m $
Hence, $ 18 $ shirts will require $ 40.5 $ metres of cloth.
Note: Be careful while finding the product of decimal numbers. Simply multiply the terms and place the decimal point based on the total number of digits after decimal point considering both the terms of the product. Second method is to place tens, hundreds based on the number of digits, find a product and then place a decimal point based on zeroes in the denominator.
Complete step-by-step answer:
We know the correlation between meters and centimeters and can be given by –
$ 1m = 100cm $
Given that one shirt requires $ 2m\;25cm $
Now,
$
100cm = 1m \\
25cm = ? \;
$
Perform cross multiplication for the above expression –
$ = \dfrac{{25}}{{100}} $
Simplify the above expression by converting the fraction in the form of decimal
$ = 0.25 $
Now, the total length of cloth required for one shirt is $ = 2 + 0.25 = 2.25m $
Now, $ 1 $ shirt $ = 2.25m $ cloth
$ 18 $ shirts $ = ? $
Perform cross multiplication –
$ = \dfrac{{18 \times 2.25}}{1} $
When there is one in the denominator, the term can be written as the numerator only.
$ = 18 \times 2.25 $
Find the product of the terms in the above expression –
$ = 40.5m $
Hence, $ 18 $ shirts will require $ 40.5 $ metres of cloth.
Note: Be careful while finding the product of decimal numbers. Simply multiply the terms and place the decimal point based on the total number of digits after decimal point considering both the terms of the product. Second method is to place tens, hundreds based on the number of digits, find a product and then place a decimal point based on zeroes in the denominator.
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