Question

Write 71,800 in scientific notation

Answer 1

Answer: 7.18 x 104 in scientific notation.

Answer 2

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 71,800 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: 71,800

New Number: 7.1800

Step 2

Now, to find b, count how many places to the right of the decimal

New Number: 7 . 1 8 0 0

Decimal Count:   1 2 3 4

There are 4 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 = 7.18 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

7.18 x 104

Step 4

Check your work:

104 = 10,000 x 7.18 = 71,800

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