Question

Convert the following numbers to the scientific notation. i) 5600 ii) 6754385 iii) 6788975456

Answer 1

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