How do you write 0.00498 in scientific notation?

3 Answers
May 7, 2018

Answer:

#4.98times10^-3#

Explanation:

#4.98times10^-3#

is the answer.

May 7, 2018

Answer:

#4.98 xx 10^-3#

Explanation:

To change a decimal into scientific notation, move the decimal place. The number of places you move is the number you will use as the exponent of #10#:

#0color(red)(.)00498#

Now move the decimal place, counting how many places it moves as you go:

#0color(red)(.)00498#

#00color(red)(.)0498# (1 space)

#000color(red)(.)498# (2 spaces)

#0004color(red)(.)98# (3 spaces)

The decimal was moved #3# spaces. Since the decimal was moved to the right, you will use a negative exponent.

#"move to the right = negative"#
#"move to the left = positive"#

So use the number of spaces you moved, and make it negative:

#4.98 xx 10^color(blue)(-3)#

May 7, 2018

Answer:

#4.98xx10^(-3)#

Explanation:

The number 0.00498 has to be between 1 and 10 and then it is multiplied by 10 to a power. #10^(-3)# =#1/1000# so you are dividing by 1000