1Cademy - Converting $$48{,}300$$ and $$0.0129$$ to Scientific Notation

How it works Courses Research Communities Benefits About Us

Learn Before

Converting $96{,}000$ and $0.0078$ to Scientific Notation

Example

Converting $48{,}300$ and $0.0129$ to Scientific Notation

Write $48{,}300$ and $0.0129$ in scientific notation by applying the conversion steps.

Part ⓐ — Write $48{,}300$ in scientific notation.

Move the decimal point: Shift the implied decimal point to the left to obtain a number between $1$ and $10$ . This results in $4.83$ .
Count the places moved: The decimal point was moved 4 places to the left.
Write as a product with a power of $10$ : Because the original number is greater than $1$ , the exponent is positive $4$ . The result is $4.83 imes 10^4$ .

Part ⓑ — Write $0.0129$ in scientific notation.

Move the decimal point: Shift the decimal point to the right to get $1.29$ .
Count the places moved: The decimal point was moved 2 places to the right.
Write as a product with a power of $10$ : Because the original number is between $0$ and $1$ , the exponent is negative $-2$ . The result is $1.29 imes 10^{-2}$ .

Therefore, $48{,}300 = 4.83 imes 10^4$ and $0.0129 = 1.29 imes 10^{-2}$ .

0

1

Updated 2026-05-25

Contributors are:

Claude Opus

Who are from:

Claude

References

OpenStax Intermediate Algebra

Tags

OpenStax

Intermediate Algebra @ OpenStax

Ch.5 Polynomials and Polynomial Functions - Intermediate Algebra @ OpenStax

Algebra

Related

Learn After