Question

Find the quotient if the dividend is 2.26 · 108 and the divisor is 0.013.

Answer 1

the required quotient is 173.92

Explanation:

If a÷b=c,

then,

a is the dividend

b is divisor

and c is quotient.

By the question,

a=2.26108

b=0.013

c=?

now,

a÷b=c

or, 2.26108÷0.013=c

or, 173.92=c

Answer 2

`1.738\cdot 10^(10)`

Explanation:

We are asked to find the the quotient of the division problem, where
`2.26\cdot 10^8` is dividend and 0.013 is divisor.

Represent dividend and divisor as fraction:

`(2.26\cdot 10^8)/(0.013)`

Convert 0.013 into scientific notation:

`0.013=1.3\cdot 10^(-2)`

`(2.26\cdot 10^8)/(1.3\cdot 10^(-2))`

Using exponent property
`(a^m)/(a^n)=a^(m-n)`, we will get:

`(2.26)/(1.3)\cdot 10^{8-(-2)`

`(2.26)/(1.3)\cdot 10^(8+2)`

`1.738\cdot 10^(10)`

Therefore, our required quotient would be
`1.738\cdot 10^(10)`.