Question

find the product.
0.003 × 10,000 =

Explanation:

Step1: Recall the rule of multiplying by powers of 10

When multiplying a decimal by \(10^n\) (where \(n\) is a positive integer), we move the decimal point \(n\) places to the right. Here, \(10,000 = 10^4\), so we need to move the decimal point in \(0.003\) four places to the right.

Step2: Move the decimal point

Starting with \(0.003\), moving the decimal point one place right gives \(0.03\), two places gives \(0.3\), three places gives \(3\), and four places gives \(30\).

Answer:

\(30\)