MATH SOLVE

4 months ago

Q:
# Will the power of 10 have a positive or a negative exponent when each of the following numbers is rewritten in standard scientific notation? a. 42,751 c. 0.002045 b. 1253 d. 0.1089

Accepted Solution

A:

Answer and explanation:Will the power of 10 have a positive or a negative exponent when each of the following numbers is rewritten in standard scientific notation?Standard scientific notation is a way of writing number in a multiple of 10.a) Number - 42751Multiply and divide number by 10000,[tex]42751\times \frac{10000}{10000}=4.2751\times 10^4[/tex]Power of 10 is 4 i.e. positive.b) Number - 0.002045Remove decimal and write in terms of multiple of 10 power,[tex]0.002045=\frac{2045}{1000000}=2.045\times 10^{-3}[/tex]Power of 10 is -3 i.e. negative.c) Number - 1253Multiply and divide number by 1000,[tex]1253\times \frac{1000}{1000}=1.253\times 10^3[/tex]Power of 10 is 3 i.e. positive.d) Number - 0.1089Remove decimal and write in terms of multiple of 10 power,[tex]0.1089=\frac{1089}{10000}=1.089\times 10^{-1}[/tex]Power of 10 is -1 i.e. negative.