Question

What is the product written in scientific notation?

(1.18×103)·(9.1×10−6)


1.0738×10−2

1.0738×10−4

10.738×10−3

10.738×10−2

Answer 1

We have been given the product

`(1.18 * 10^3) \cdot (9.1 * 10^(-6))`

First of all we multiply 1.18 and 9.1. On multiplying, we get

`1.18 * 9.1 = 10.738`

Now, we multiply

`10^3 \text{ and } 10^(-6)`

Using the exponent property
`x^a * x^b = x^(a+b)`, we get

`10^3 * 10^(-6) \\ \\ =10^(3-6)\\ \\ =10^(-3)`

Therefore, we have the product

`10.738* 10^(-3)`

In scientific notation the product is

`10.738* 10^(-3)= 1.0738* 10^(-2)`

A is the correct option.