Answer:
a. 4.0 x 10^5 = 400000
b. 3.8 x 10^(-4) = 0.00038
c. 9.2 x 10^8 = 920000000
d. 1.5 x 10^(-7) = 0.00000015
Step-by-step explanation:
To write the numbers in standard form we will use the following rule:
• If the exponent of 10 is positive, we will move the decimal point to the right
• If the exponent of 10 is negative, we will move the decimal point to the left
Then, for each part, we get:
a. 4.0 x 10^5
Since 5 is positive, we need to move the decimal point 5 places to the right, this is equivalent to add 5 zeros to number 4, so we get:
4.0 x 10^5 = 400000
b. 3.8 x 10^(-4)
We need to move the decimal point 4 places to the left, so:
3.8 x 10^(-4) = 0.00038
In the same way, we get:
c. 9.2 x 10^8 = 920000000
d. 1.5 x 10^(-7) = 0.00000015
So, the answers are:
a. 4.0 x 10^5 = 400000
b. 3.8 x 10^(-4) = 0.00038
c. 9.2 x 10^8 = 920000000
d. 1.5 x 10^(-7) = 0.00000015