tell the value of a digit in the tenths, hundredths and thousandths places
explain that a digit is worth 10 times as much one place to the left, and 110 as much one place to the right
Your answers stay on this device. Your first try earns a ★. Keep trying until you get it right!
Be Curious
What do you notice? What do you wonder?
The three big squares are the same size. Move your mouse inside each one.
???
Place Value to DecimalsExplore
Explore: Shade the Grid
The big square is 1 whole, cut into 100 small squares. Choose a tool, then click and drag across the grid.
Compare them
0.30.03
0.3 is 10 times as much as 0.03. 0.03 is 110 of 0.3.
Place Value to DecimalsLearn
Learn
Sam says: “Every 1 in 1.111 has the same value.”
How can you help Sam?Point at each 1 in the chart, or move your mouse over the blocks.
Move your mouse to turn the blocks
Each 1 shows a different block. Which one is biggest?
Pattern spotter Look at the names: tenths, hundredths, thousandths. Each name tells you how many equal parts 1 whole is cut into. Each block is 110 the size of the block on its left.
Place Value to DecimalsLearn · Work Together
Move the Digit
◀ One place left× 1010 times as much
One place right ▶÷ 10110 as much
Drag the blue digit to another place and drop it.
7
Move the digit and watch its value change.
Work Together
Two ways to compare 0.6 and 0.06
0.6 · 6 tenths0.06 · 6 hundredths
Two ways to say it: 0.6 is 10 times 0.06. 0.06 is 110 of 0.6.
Place Value to DecimalsPractice
Practice
1
Which statement is true?
2
Which statement is true?
3
Pocket money
MariamAED 5.00
OmarAED 0.50
LinaAED 0.05
Place Value to DecimalsPractice
Practice
4
Same digit, different value
5
Error Analysis
Rami writes 45.4 and says: “The 4 in the tens place is worth 10 times the 4 in the tenths place.”
0.4× 104× 1040
Tenths to tens is two places left, so the value is 10 × 10 = 100 times as much.
Place Value to DecimalsPractice · Extend Your Thinking
Practice
6
Digit hunt
7
Race time
In a school race, Huda ran 100 metres in seconds. The digit 2 appears three times!
Extend Your Thinking
8
Use the digits 3, 6 and 8 once each. Compare with the number 3.68.
Place Value to DecimalsReflect
Reflect
How is the place value pattern in decimals like the pattern in whole numbers?
See an example answer
It is the same pattern on both sides of the decimal point. Each place is worth 10 times the place to its right, and 110 of the place to its left. For example, 300 is 10 times 30, and 0.3 is 10 times 0.03.
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