Question

peyton knows that $\frac{1}{8}$ means \1 divided by 8.\ she uses this to find the decimal equivalent for $\frac{1}{8}$. enter a digit into each box to complete her work.

Explanation:

Step1: Perform long - division of 1 by 8

We know that \(1\div8\). We can write \(1\) as \(1.000\) (adding extra zeros after the decimal point).
When we divide \(1\) by \(8\):
\(8\times0.1 = 0.8\), and \(1 - 0.8=0.2\).
\(8\times0.02 = 0.16\), and \(0.2 - 0.16 = 0.04\).
\(8\times0.005=0.04\)

Answer:

The first box (from the left) is \(0\), the second box is \(1\), the third box is \(2\), and the fourth box is \(5\)