Q: How is the number 153,458,344 written in Scientific Notation?

 A: 1.53458344 x 108

Why is 153,458,344 written as 1.53458344 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 153,458,344 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: 153,458,344
  • New Number: 1.53458344

Step 2

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

New Number: 1.53458344
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 = 1.53458344

b = 8

Now the whole thing:

1.53458344 x 108

Step 4

Check your work:

108 = 100,000,000 x 1.53458344 = 153,458,344


More Scientific Notation Examples

153,458,342153,458,343153,458,345153,458,346
1.53458342 x 1081.53458343 x 1081.53458345 x 1081.53458346 x 108

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