Answer :
The task here is to perform division using the cancellation method, which involves simplifying the division by canceling out common factors in the numerator and denominator to make the calculations easier.
(a) Division of 45,160 by 40:
First, we find the greatest common divisor (GCD) of 45,160 and 40 to simplify the division:
The factors of 40 are 1, 2, 4, 5, 8, 10, 20, and 40.
The factors of 45,160 involve checking for common factors with 40.
We can simplify by canceling the factor of 10:
Cancel the zero:
[tex]\frac{45,160}{40} = \frac{4,516}{4}[/tex]Divide 4,516 by 4:
[tex]4,516 \div 4 = 1,129[/tex]
So, 45,160 divided by 40 equals 1,129.
(b) Division of 9,13,600 by 90:
First, simplify by canceling the zeros:
- Cancel the zero:
[tex]\frac{913,600}{90} = \frac{91,360}{9}[/tex]
Notice that both 9 and 91,360 are divisible by 9:
- Divide 91,360 by 9:
[tex]91,360 \div 9 = 10,151[/tex]
So, 913,600 divided by 90 equals 10,151.
(c) Division of 6,53,320 by 500:
- Cancel the zeros first:
[tex]\frac{653,320}{500} = \frac{65,332}{50}[/tex]
Now divide 65,332 by 50:
Both numbers can be further simplified by 2:
[tex]\frac{65,332 \div 2}{50 \div 2} = \frac{32,666}{25}[/tex]Finally, divide 32,666 by 25:
[tex]32,666 \div 25 = 1,306.64[/tex]
Therefore, 653,320 divided by 500 equals 1,306.64.
To verify each answer, you can multiply the quotient by the divisor to see if you get back the original numerator.
