Answer:
D. 1.156 times 10^9
First we subtract the difference,
1,300,000,000 - 144,000,000 = 1156000000
Next, we find the number 1156000000 written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 115,600,000
New Number: 1.15600000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 1 5 6 0 0 0 0 0
Decimal Count: 1 2 3 4 5 6 7 8
There are 8 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 1.156 (Please notice any zeroes on the end have been removed)
b = 8
Now the whole thing:
1.156 x 108
Step 4
Check your work:
108 = 100,000,000 x 1.156 = 115,600,000
Thus, 115,600,000 written in scientific notation is 1.156 times 10^9 estimated.