Question

How do you write $ 1.2 \times {10^{ - 4}} $ in expanded form?

Answer 1

Hint: In order to write the given question $ 1.2 \times {10^{ - 4}} $ into its expanded form then , we need to multiply the $ 1.2 $ by $ {10^{ - 4}} $ . Since the exponent value of the 10 is negative i.e. -4 and when the power of 10 is negative then the decimal point of the number gets shifted towards left sides up to places equal to the power. shift the decimal of $ 1.2 $ towards the left side up to 4 places to obtain the required expanded form.

Complete step-by-step answer:
Let we have given a decimal number in the form $ 1.2 \times {10^{ - 4}} $ where after decimal there is one digit. Here, in this question we have given decimal as $ 1.2 $ .
So , to calculate the expanded form of the given decimal , we have to first just do the multiplication of decimal value by $ {10^{ - 4}} $ and we get ,
  $ 1.2 \times {10^{ - 4}} $
As we can clearly see that the exponent value of the 10 is negative i.e. -4 and when the power of 10 is negative then the decimal point of the number gets shifted towards left sides up to places equal to the power.
Here the exponent value is -4 so we have to shift the decimal of $ 1.2 $ towards the left side up to 4 places to obtain the expanded form. Then we get
 $ = 0.00012 $
Therefore, the expanded form of $ 1.2 \times {10^{ - 4}} $ is equal to $ 0.00012 $ .
So, the correct answer is “$ 0.00012 $ ”.

Note: . Do not Forget to verify the end of the result with the zeroes .
I.If you multiply a decimal with 10 , then the decimal point will be moved to the right side by 1 place .
 II.If you multiply a decimal with 100 , then the decimal point will be moved to the right side by 2 places .
III.If you multiply a decimal with 1000 , then the decimal point will be moved to the right side by 3 places .
IV.If the decimal number has less digits after the decimal than the multiplier ( or the number of zero is more ) , then the extra zeroes must be added to the final answer as it is .
If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive .
Also remember that any number for example – 150 is a number can also be expressed as 150.0 in the form of decimal .