Question

8/ (-0.02) easy way to know how to solve

Answer 1

have you covered the exponents rules yet?

Answer 2

need some review please

Answer 3

http://www.math-play.com/image-exponents-rules.jpg <--- any ideas on how to convert the numerator to an exponential form?

Answer 4

yah forgot all those rules

Answer 5

hmmm what are you supposed to do with the equation anyway?

Answer 6

its asking to divide

Answer 7

\(\bf \cfrac{8}{-0.02}\quad
\begin{cases}
8\to 2\cdot 2\cdot 2\\
0.\underline{02}\to\frac{0\underline{02}}{1\underline{00}}\to \frac{2}{100}\to 2\cdot \frac{1}{100}\to 2\cdot 10^{-2}
\end{cases}\qquad thus
\\ \quad \\
\cfrac{8}{-0.02}\implies \cfrac{\cancel{ 2 }\cdot 2\cdot 2}{-\cancel{ 2 }\cdot 10^{-2}}\)

Answer 8

so its -400? i dont get it

Answer 9

well... notice....all I did was factor the top and bottom
the bottom by making it a 10base type so \(\large {
\cfrac{8}{-0.02}\quad
\begin{cases}
8\to 2\cdot 2\cdot 2\\
0.\underline{02}\to\frac{0\underline{02}}{1\underline{00}}\to \frac{2}{100}\to 2\cdot \frac{1}{100}\to 2\cdot 10^{-2}
\end{cases}
\\ \quad \\
\cfrac{8}{-0.02}\implies \cfrac{\cancel{ 2 }\cdot 2\cdot 2}{-\cancel{ 2 }\cdot 10^{-2}}\implies \cfrac{4}{-10^{-2}}\implies \cfrac{4}{-0.01}
}\)

Answer 10

right its looking for a whole number but i dont know how to read the question

Answer 11

a whole number? well... you can just do a division of that... that'd give you actually -400

Answer 12

unless you mean to do it by long division

Answer 13

yes! but where do i start with dividing?

Answer 14

say 8/-0.02

so..... you'd notice first how many decimals on either the dividend and divisor
and add that many zeros to the other, while dropping the decimal point
say in this case

dividend 8 has no decimals.... so no zeros added to the divisor

divisor -0.02 has 2 decimals so we add 2 zeros to 8
so it ends up looking like \(\large \cfrac{8}{-0.02}\implies 8\div -0.\underline{02}\implies 8\underline{00}\div -\quad 2\)

Answer 15

once we dropped the decimal point from -0.02 we would end up with -002 which is in significant numbers only -2