Question

1. draw place - value disks on the place - value chart to solve. show each step in the standard algorithm

a. 0.7÷4 = 0.175
ones tenths hundredths thousandths
4 0.7
b. 8.1÷5 = ____
ones tenths hundredths thousandths
5 8.1

Explanation:

Step1: Divide the ones place

$8\div5 = 1$ with a remainder of $3$. So, write $1$ in the ones - place of the quotient.

Step2: Convert the remainder to tenths

The remainder of $3$ in the ones place is equivalent to $30$ tenths. Add the $1$ tenth from $8.1$, so we have $31$ tenths.

Step3: Divide the tenths

$31\div5 = 6$ tenths with a remainder of $1$ tenth. Write $6$ in the tenths - place of the quotient.

Step4: Convert the remaining tenth to hundredths

The remaining $1$ tenth is equivalent to $10$ hundredths. Since there are no more digits in the original number, we can add a $0$ and consider it as $10$ hundredths.

Step5: Divide the hundredths

$10\div5=2$ hundredths. Write $2$ in the hundredths - place of the quotient.

Answer:

$1.62$