Q: How is the number 102,410,754 written in Scientific Notation?

 A: 1.02410754 x 108

Why is 102,410,754 written as 1.02410754 x 108 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 102,410,754 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: 102,410,754
  • New Number: 1.02410754

Step 2

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

New Number: 1.02410754
Decimal Count: 12345678

There are 8 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 = 1.02410754

b = 8

Now the whole thing:

1.02410754 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.02410754 = 102,410,754


More Scientific Notation Examples

102,410,752102,410,753102,410,755102,410,756
1.02410752 x 1081.02410753 x 1081.02410755 x 1081.02410756 x 108

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