Convert the following numbers to the scientific notation. i) 5600 ii) 6754385 iii) 6788975456
Answers
Answer:
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 5,600 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: 5,600
New Number: 5.600
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 5 . 6 0 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 10b
a = 5.6 (Please notice any zeroes on the end have been removed)
b = 3
Now the whole thing:
5.6 x 103
Step 4
Check your work:
103 = 1,000 x 5.6 = 5,600
More Scientific Notation Examples
5,598 5,599 5,601 5,602
5.598 x 103 5.599 x 103 5.601 x 103 5.602 x 103