Question

quiz 24
google classroom microsoft teams
complete the equations.
0.258 × 10² =
0.258 × 10³ =
0.258 × 10⁴ =

Explanation:

Step1: Solve \(0.258\times10^{2}\)

When multiplying a decimal by \(10^{n}\), we move the decimal point \(n\) places to the right. For \(10^{2}\), we move the decimal point 2 places to the right.
\(0.258\times10^{2}=0.258\times100 = 25.8\)

Step2: Solve \(0.258\times10^{3}\)

For \(10^{3}\), we move the decimal point 3 places to the right.
\(0.258\times10^{3}=0.258\times1000 = 258\)

Step3: Solve \(0.258\times10^{4}\)

For \(10^{4}\), we move the decimal point 4 places to the right. Since \(0.258\) has only 3 decimal places, we add a zero.
\(0.258\times10^{4}=0.258\times10000 = 2580\)

Answer:

\(0.258\times10^{2}=\boldsymbol{25.8}\)
\(0.258\times10^{3}=\boldsymbol{258}\)
\(0.258\times10^{4}=\boldsymbol{2580}\)