Decimals Recap: Tenths, Hundredths And Thousandths

Place value, extended (Textbook p. 67)

Decimals extend the Indian place value system to decimal fractions: $\frac{1}{10}$, $\frac{1}{100}$, $\frac{1}{1000}$ and so on, and their sums.

Problem. Write $\frac{254}{1000}$ as a sum of tenths, hundredths and thousandths, and as a decimal. (Textbook p. 68)

A rule (Math Talk, Textbook p. 68)

To divide by a number like 10, 100 or 1000:

1. Write the dividend and put a decimal point at the end: 123.
2. Count the zeroes in the divisor: 10 has 1 zero.
3. Move the point left that many places. Add zeroes in front if needed.

Problem. Find $24 \div 100$, $678 \div 1000$, $12 \div 1000$ and $12345 \div 1000$. (Textbook p. 69)