Rosie the Rabbit holds a long green ribbon, exactly one meter long.
"I want to share this ribbon with nine friends," she says.
Bennie folds the ribbon into ten equal parts and opens it again.
"Each part is one tenth of a meter," he says. "We write that as 0.1."
Rosie looks at one small part. "What if I fold this part into ten again?"
"Then each tiny piece is one tenth of one tenth," says Bennie.
"That is one hundredth of the whole ribbon, or 0.01."
Rosie wiggles her nose. "Places keep going to the right!"
A digit is worth one tenth as much when it moves one place to the right.
The 7 in 700 is worth 700. The 7 in 70 is worth 70.
70 is one tenth of 700, because 700 ÷ 10 = 70.
The places keep going past the ones place.
7 ÷ 10 = 0.7, which is seven tenths.
0.7 ÷ 10 = 0.07, which is seven hundredths.
0.07 ÷ 10 = 0.007, which is seven thousandths.
The shaded part is 7 tenths of the bar, or 0.7.
| Sentence | True or false? |
|---|---|
| 0.3 = 3 ÷ 10 | ? |
| 0.05 = 0.5 ÷ 10 | ? |
| 0.2 = 20 ÷ 10 | ? |
| A digit moved one place right is worth one tenth as much. | ? |
Wonderful! Tomorrow we multiply by 10, 100 and 1,000 and find patterns.