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Week 01 · Ten times and one tenth

Tuesday

One tenth as much
// Place value and powers of 10
⏱ about 15 min

Tuesday: One tenth as much

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!"

Learn it: one place to the right is one tenth as much

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.

A place value chart showing 7.777
A bar cut into ten equal parts, with seven parts shaded

The shaded part is 7 tenths of the bar, or 0.7.

ONE TENTH AS MUCH
  • Read the question.
  • Tap your answer.
700 ÷ 10 = ?
90 ÷ 10 = ?
6 ÷ 10 = ?
0.4 ÷ 10 = ?
WHAT IS THE DIGIT WORTH?
  • Read the question.
  • Tap your answer.
In 3.42, what is the value of the 4?
In 5.618, what is the value of the 8?
In 12.375, what is the value of the 7?
In 0.906, what is the value of the 6?
TEN TIMES OR ONE TENTH?
  • Read the question.
  • Tap your answer.
0.6 = ? × 0.06
0.04 = ? × 0.4
In 2.22, the tenths 2 is worth how many times the hundredths 2?
In 5.55, the hundredths 5 is what part of the tenths 5?
A number line from 0.0 to 1.0, with a dot at 0.7
READ THE NUMBER LINE
  • Read the question.
  • Tap your answer.
The dot is at 7 of the 10 equal steps. What number is it?
How many tenths make 1 whole?
SentenceTrue 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.?
WHY THIS EXERCISE20 ÷ 10 is 2, not 0.2. 2 ÷ 10 is 0.2.
LEAST TO GREATEST
  • Each number is ten times the one before.
  • Put them from least to greatest.
11st
22nd
33rd
44th
Try it
Fold a long strip of paper into ten equal parts.
Color 3 parts. You colored 0.3 of the strip.
Now look at one part. Imagine folding it into ten tiny parts.
One tiny part is 0.01 of the whole strip.
Draw a strip with 10 equal parts and shade 0.4 of it.

Wonderful! Tomorrow we multiply by 10, 100 and 1,000 and find patterns.

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