Answer:
1.17 x 105
Step-by-step explanation:
Why is 117,000 written as 1.17 x 105 in scientific notation?
The purpose of scientific notation is for scientists to write very large, or very small, numbers with ease.
Calculating scientific notation for a positive integer is simple, as it always follows this notation:
a x 10b
Follow the steps below to see how 117,000 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 117,000
New Number: 1.17000
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 1 7 0 0 0
Decimal Count: 1 2 3 4 5
There are 5 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 = 1.17 (Please notice any zeroes on the end have been removed)
b = 5
Now the whole thing:
1.17 x 105
Step 4
Check your work:
105 = 100,000 x 1.17 = 117,000
