
What is the value of 35% of 240?
Answer
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Hint: To find the value of 35% of 240, we have to express this in mathematical form by changing the ‘of’ into a multiplication sign. Then we have to convert 35% into numbers and simplify by cancelling the common factors.
Complete step by step solution:
We have to find the value of 35% of 240. Let us denote it in mathematical form.
Let us convert 35% into numbers. We have to divide 35 by 100.
Now, we have to simplify this. Let us cancel 0 from the denominator and 240.
The result of above simplification is
We can further cancel the common factor in the numerator (35) and denominator. Let us cancel the common factor 5.
Let us cancel the common factor 2 from 24 and the denominator.
Let us multiply 7 and 12.
Hence, 35% of 240 is 84.
Note: Students must know that ‘of’ these types of problems means multiplication. They must also know how a percentage is converted into its number. They must divide the percentage number by 100 to convert it into its number form. Similarly, to convert a number into percentage, we have to multiply the number by 100. Students must simplify the expressions by first cancelling the common terms and factors. We can also simplify in an alternate method.
Instead of cancelling the common terms, let us divide 35 by 100.
Now, we have to multiply 0.35 with 240. This procedure will be time consuming.
Complete step by step solution:
We have to find the value of 35% of 240. Let us denote it in mathematical form.
Let us convert 35% into numbers. We have to divide 35 by 100.
Now, we have to simplify this. Let us cancel 0 from the denominator and 240.
The result of above simplification is
We can further cancel the common factor in the numerator (35) and denominator. Let us cancel the common factor 5.
Let us cancel the common factor 2 from 24 and the denominator.
Let us multiply 7 and 12.
Hence, 35% of 240 is 84.
Note: Students must know that ‘of’ these types of problems means multiplication. They must also know how a percentage is converted into its number. They must divide the percentage number by 100 to convert it into its number form. Similarly, to convert a number into percentage, we have to multiply the number by 100. Students must simplify the expressions by first cancelling the common terms and factors. We can also simplify
Instead of cancelling the common terms, let us divide 35 by 100.
Now, we have to multiply 0.35 with 240. This procedure will be time consuming.
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