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Understanding Decimal Place Value
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Understanding Decimal Place Value
Hana and Tevita are checking measurements on a dairy farm. Use the place-value chart and number line to investigate decimals. Remember: each place to the right of the decimal point is ten times smaller than the place before it.
Read the places
A decimal’s digits have different values depending on their place.
Number
Tens
Ones
Decimal point
Tenths
Hundredths
4.36
___
___
.
___
___
1.The milk tank reads 4.36 litres. Complete the chart above by placing each digit in its correct place. What is the value of the digit 3?
2.A pail holds 7.05 litres. Which statement correctly describes the 5?
- 5 tenths, worth 0.5
- 5 hundredths, worth 0.05
- 5 ones, worth 5
3.Keira records a calf’s weight as 32.48 kg. Write the value of each digit after the decimal point: 4 and 8.
Compare and build decimals
Use the number line and place-value clues to reason about the farm measurements.
4.The number line shows a section of the milk-measure scale. Which labelled value is greatest: 2.4, 2.5 or 2.6?
- 2.4
- 2.5
- 2.6
5.Put these milk volumes in order from smallest to largest: 3.07 L, 3.7 L, 3.17 L. Explain how you used the tenths and hundredths places.
6.Hana says 5.08 is greater than 5.8 because 8 hundredths is more than 0 hundredths. Is she correct? Explain your answer using place value.
7.The milking machine has 6 ones, 2 tenths and 9 hundredths in its test reading. Write the decimal number.
8.Complete the equation: 4.63 = 4 + tenths + hundredths.
9.A measuring strip is divided into 10 equal parts. If 3 parts are shaded, what decimal of the whole strip is shaded?
10.Tevita writes 8.40 for a tank reading. Is 8.40 equal to 8.4? Explain what the zero tells you about the hundredths place.
3 printable pages
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