Question

how do you write 1.1 × 10⁻¹ in standard form?

Explanation:

Step1: Recall the meaning of \(10^{-1}\)

\(10^{-1}\) is equal to \(\frac{1}{10}\) or \(0.1\) because a negative exponent indicates the reciprocal of the positive exponent. So \(10^{-1}=\frac{1}{10} = 0.1\).

Step2: Multiply \(1.1\) by \(10^{-1}\)

Now we multiply \(1.1\) by \(0.1\). When we multiply a number by \(0.1\), we move the decimal point one place to the left. So \(1.1\times0.1 = 0.11\).

Answer:

\(0.11\)