Question

4.2 x 10^-4 in standard form

Answer 1

since the power of 10 is negative, you know that you are actually dividing 4.2 by this number therefore it gets smaller
\[a^{-n}=\frac{ 1 }{ a^n }\]

Answer 2

so you are dividing by 10, 4 times

Answer 3

HI!!

Answer 4

im doing scientific notation @amorfide

Answer 5

take the number \(4.2\) and move the decimal point 4 places to the left

Answer 6

it is already in scientific form

Answer 7

you want standard form, which is its actual number

Answer 8

yea so i need it back in standard form... so 40? @amorfide

Answer 9

oh no!\[0.\overleftarrow{ 0004}\]

Answer 10

move the decimal point four places to the LEFT

Answer 11

it was here
\[\huge 4\color{red}.2\]
now it is here \[\huge 0\color{red}.\overleftarrow{ 0004}2\]

Answer 12

\[10^{-4}=\frac{ 1 }{ 10 } \times \frac{ 1 }{ 10 } \times \frac{ 1 }{ 10 } \times \frac{ 1 }{ 10 } \]
so you have

\[4.2 \times 10^{-4}= 4.2 \times \frac{ 1 }{ 10 } \times \frac{ 1 }{ 10 } \times \frac{ 1 }{ 10 } \times \frac{ 1 }{ 10 }\]

Answer 13

\[\huge 0\color{red}.\overleftarrow{\overbrace{ 0004}}2\]

Answer 14

im sorry bit im just confused...@misty1212

Answer 15

i wish i knew another way to say it
the exponent is \(-4\)
take the decimal point on move it four places to the left
that is all

Answer 16

42000 or .420000

Answer 17

okay so let us say that the power is denoted by x
x=-4
-4 on the number line is to the left of zero
therefore since your power of 10 is negative 4
you must move the decimal point 4 places to the left

you have 4.2 x 10^-4

so 4.2 moved one place to the left is 0.42
0.42 one place to the left is 0.042
0.042 one place to the left is 0.0042
0.0042 one place to the left is 0.00042