Q: How is the number 434,232,142 written in Scientific Notation?

 A: 4.34232142 x 108

Why is 434,232,142 written as 4.34232142 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 434,232,142 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: 434,232,142
  • New Number: 4.34232142

Step 2

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

New Number: 4.34232142
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 = 4.34232142

b = 8

Now the whole thing:

4.34232142 x 108

Step 4

Check your work:

108 = 100,000,000 x 4.34232142 = 434,232,142


More Scientific Notation Examples

434,232,140434,232,141434,232,143434,232,144
4.3423214 x 1084.34232141 x 1084.34232143 x 1084.34232144 x 108

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