Question

Be sure to answer all parts. Express the following numbers in scientific notation. Make sure you use the correct number of significant figures. (a) 0.000000027 × 10 (b) 356 × 10 (c) 47,764 × 10 (d) 0.096 × 10

Answer 1

a)
`2.7* 10^(-7)`

b)
`3.56* 10^3`

c)
`4.7764* 10^5`

d)
`9.6* 10^(-1)`

Explanation:

Scientific notation is a way of writing a very large or very small numbers in a small notation.

In this, we write a number as the product of a number between 1 to 10 and the exponent of 10.

For this we shift the decimal ( if decimal shifted right the exponent of 10 is negative and if the decimal is shifted left the exponent of 10 is positive. )

Since,
`a^m.a^n=a^(m+n)`

Hence,

a) The scientific notation of 0.000000027 × 10 is
`2.7* 10^(-7)`

b) The scientific notation of 356 × 10 is
`3.56* 10^3`

c) The scientific notation of 47,764 × 10 is
`4.7764* 10^5`

d) The scientific notation of 0.096 × 10 is
`9.6* 10^(-1)`