Answer:
Dear Johnson,
Answer to your query is provided below
The expression 3.14 x 10^3 is scientific notation for 3,140.
Explanation:
The purpose of scientific notation is 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 10^b
Follow the steps below to see how 3,140 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: 3,140
New Number: 3.140
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 3 . 1 4 0
Decimal Count: 1 2 3
There are 3 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 10^b
a = 3.14 (Please notice any zeroes on the end have been removed)
b = 3
Now the whole thing:
3.14 x 10^3
Step 4
Check your work:
10^3 = 1,000 x 3.14 = 3,140