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 - 42751
Multiply 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 - 0.002045
Remove 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 - 1253
Multiply 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 - 0.1089
Remove 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.
