How do you convert #8.1 x 10^-4# into expanded notation?

2 Answers
Jun 28, 2018

Do you mean change #8.1 xx 10^(-4)# to a normal number?

0.00081 would be the answer. The decimal point moves 4 places because you have the number 4. It moves to the left because it is a negative 4.

Jun 28, 2018

Answer:

#color(red)0 xx 1 + color(red)0 xx 1/10 + color(red)0 xx 1/100 + color(red)0 xx 1/100 + color(red)8 xx 1/1000 + color(red)1 xx 1/(10,000)#

Explanation:

Expanded notation is like reducing or deducing a number expansively in the Hundreds Tens and Units format to match the given value.

For example;

Expanded notation of #4025#

#4025 = color(red)4 xx 1000 + color(red)0 xx 100 + color(red)2 xx 10 + color(red)5 xx 1#

Note

#4025 -> "Standard Notation"#

#4 xx 1000 + 0 xx 100 + 2 xx 10 + 5 xx 1 -> "Expanded Notation"#

Another example;

Expanded notation of #0.00425#

Now we know that when a number divided by;

#10# is known as Tenth

#100# is known as Hundredth

#1000# is known as Thousandth

#10,000# is known as Ten Thousandth

#100,000# is known as Hundredth Thousandth

e.g #1/10 = "One - Tenth"#

#0.00425 = color(red)0 xx 0 + color(red)0 xx 1/10 + color(red)0 xx 1/100 + color(red)4 xx 1/1000 + color(red)2 xx 1/(10,000) + color(red)5 xx 1/(100,000)#

Now;

How do you convert #8.1 xx 10^-4# into expanded notation

First we should convert it to standard notation;

#8.1 xx 10^-4 = 0.00081 -> "Standard Notation"#

Now converting to Expanded Notation;

#0.00081 = color(red)0 xx 1 + color(red)0 xx 1/10 + color(red)0 xx 1/100 + color(red)0 xx 1/100 + color(red)8 xx 1/1000 + color(red)1 xx 1/(10,000)#