MATH SOLVE

4 months ago

Q:
# 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

Accepted Solution

A:

Answer:a) [tex]2.7\times 10^{-7}[/tex]b) [tex]3.56\times 10^3[/tex]c) [tex]4.7764\times 10^5[/tex]d) [tex]9.6\times 10^{-1}[/tex]Step-by-step 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, [tex]a^m.a^n=a^{m+n}[/tex]Hence, a) The scientific notation of 0.000000027 × 10 is [tex]2.7\times 10^{-7}[/tex]b) The scientific notation of 356 × 10 is [tex]3.56\times 10^3[/tex]c) The scientific notation of 47,764 × 10 is [tex]4.7764\times 10^5[/tex]d) The scientific notation of 0.096 × 10 is [tex]9.6\times 10^{-1}[/tex]