Decimal place value: tenths, hundredths and thousandths

0:00What is each digit in 0.235 worth?

0:05The digits sit in the ones, tenths, hundredths and thousandths places.

0:10Cut one whole into 10 equal blocks, so each block is one tenth.

0:16The 2 means 2 tenths, so shade 2 blocks.

0:21Cut each block into 10 strips, so each of the 100 strips is one hundredth.

0:27The 3 means 3 hundredths, so shade 3 strips.

0:33Cut each strip into 10 squares, so each of the 1000 squares is one thousandth.

0:39The 5 means 5 thousandths, so shade 5 squares.

0:452 blocks of 100 squares make 200 squares.

0:503 strips of 10 squares make 30 squares.

0:54200 plus 30 plus 5 makes 235 squares.

1:00235 out of 1000 squares are shaded, so 0.235 is 235 thousandths.

1:09So 0.235 is 2 tenths, 3 hundredths and 5 thousandths.