Q: How is the number 152,590 written in Scientific Notation?

 A: 1.5259 x 105

Why is 152,590 written as 1.5259 x 105 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 152,590 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: 152,590
  • New Number: 1.52590

Step 2

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

New Number: 1.52590
Decimal Count: 12345

There are 5 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 = 1.5259 (Please notice any zeroes on the end have been removed)

b = 5

Now the whole thing:

1.5259 x 105

Step 4

Check your work:

105 = 100,000 x 1.5259 = 152,590


More Scientific Notation Examples

152,588152,589152,591152,592
1.52588 x 1051.52589 x 1051.52591 x 1051.52592 x 105

Explore more about the number 152,590:


Ask a Question