Q: How is the number 1,646 written in Scientific Notation?

 A: 1.646 x 103

Why is 1,646 written as 1.646 x 103 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 1,646 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: 1,646
  • New Number: 1.646

Step 2

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

New Number: 1.646
Decimal Count: 123

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 = 1.646

b = 3

Now the whole thing:

1.646 x 103

Step 4

Check your work:

103 = 1,000 x 1.646 = 1,646


More Scientific Notation Examples

1,6441,6451,6471,648
1.644 x 1031.645 x 1031.647 x 1031.648 x 103

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