Question

Convert .00016 to scientific notation

Answer 1

`1.6 \,\,\,10^(-4)`

Step-by-step explanation:

Recall that scientific notation involves expressing the number in powers of ten, and using a multiplicative factor whose value is larger than or equal to 1 (one) and strictly smaller than 10 in the form:

`a\,\,\,10^n\\with\,\,\,1\leq a<10`

and with n an integer value.

in our case, notice that 0.00016 = 16 / 100000 = 1.6 / 10000

and that denominator can be expressed as: 10^4, and can also be brought to the numerator as a negative power of ten:

1.6 / 10000 = 1.6 / 10^4 = 1.6 * 10^(-4)

`(16)/(100000) =(1.6)/(10000)=(1.6)/(10^4)=1.6\,\,\,10^(-4)`