Decimals: tenths and hundredths (grade 4) · lesson

Tenths and hundredths

💡 The first place after the decimal point is tenths, and the second place is hundredths.

9/10 is 9 tenths. Write it as 0.9.

1 and 6 hundredths is 1.06. The 0 holds the tenths place because there are no tenths.

🧠 Let's work it out

Write 3 and 8 hundredths as a decimal.

What do you think comes next?

💡 1 tenth is the same as 10 hundredths, so any number of tenths can be written in hundredths.

0.72 is 72 hundredths, so it is 72/100.

0.8 is 8 tenths. Each tenth is 10 hundredths. So 0.8 is 80/100.

Watch the place. 0.03 is 3/100, not 3/10.

🧠 Let's work it out

Find the missing top: 0.8 = ?/100.

What do you think comes next?

💡 Change tenths into hundredths so both parts are the same size, then add.

You can't add tenths and hundredths as they are. The pieces are not the same size.

Change the tenths to hundredths. Then add the tops. If there is a whole number too, keep it in front: 1 and 53 hundredths is 1.53.

🧠 Let's work it out

Find 4/10 + 13/100.

What do you think comes next?

💡 To compare decimals, give them the same number of places and compare like whole numbers.

0.4 and 0.38 look odd to compare. Write 0.4 as 0.40.

Now compare 40 hundredths and 38 hundredths. 40 is more, so 0.4 is greater. More digits does not mean bigger.

🧠 Let's work it out

Which is greater, 0.3 or 0.29?

What do you think comes next?