Question

which expression shows 51,000 as a product with 10 as factors? 51×10×10×10 51×10×10 51×10 51×10×10×10×10

Explanation:

Step1: Recall the meaning of multiplying by 10

Multiplying a number by \(10\) shifts the decimal point one place to the right. So, \(51\times10 = 510\), \(51\times10\times10=51\times10^{2} = 5100\), \(51\times10\times10\times10=51\times10^{3}=51000\), and \(51\times10\times10\times10\times10 = 51\times10^{4}=510000\).

Step2: Match with 51,000

We need the product to be \(51000\). From the calculations above, \(51\times10\times10\times10=51000\).

Answer:

\(51\times 10\times 10\times 10\) (the first option among the given choices)