Question

Operations in Scientific NotationWrite two numbers in scientificnotationFind their sum, difference, product& quotient

Answer 1

Let the two numbers be

`20\text{ and 10}`

In scientific notation, the numbers are

`\begin{gathered} 20=2*10^1 \\ 10=1*10^1 \end{gathered}`

The sum of the numbers will be

`=(2*10^1)+(1*10^1)=10^1(2+1)=10^1(3)=3*10^1`

Hence, the sum is

`3*10^1`

The difference between the two numbers will be

`=(2*10^1)-(1*10^1)=10^1(2-1)=10^1(1)=1*10^1`

Hence, the difference is

`1*10^1`

The product of the numbers will be

`=(2*10^1)\cdot(1*10^1)=(2*1)(10^(1+1))=2(10^2)=2*10^2`

Hence, the product is

`2*10^2`

The quotient of the numbers will be

`=(2*10^1)/(1*10^1)=(2)/(1)*(10^(1-1))=2(10^0)=2*10^0`

Hence, the quotient is

`2*10^0`