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How to Compare and Order Decimals
Decimals can be compared and ordered using number lines as visual aids. Let's delve into this concept:
Examples
Example: 1
- On the number line below we can see that 2.3 (two and three tenths) is less than 2.8 (two and eight tenths).
- 2.8 is five tenths more than 2.3.
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Comparing and ordering decimals
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Example: 2
- Look at this next example.
- 6.82 (six and eighty-two hundredths) is less than 6.86 (six and eighty-six hundredths).
- 6.82 is more than 6.8 (six and eight tenths or six and eighty hundredths).
- 6.86 is less than 6.9 (six and nine tenths or six and ninety hundredths).
- If we order the four decimals from smallest to biggest we get: 6.8, 6.82, 6.86, 6.9.
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Example: 3
- On this next number line we can see that 5.5 (five and five tenths) is less than 5.6 (five and six tenths), which is less than 5.9 (five and nine tenths).
- The difference between the biggest number and the smallest number is seven tenths.
- If we order the decimals from smallest to biggest we get: 5.2, 5.6, 5.9.
Example: 4
- In this next number line 4.23 (four and twenty-three hundredths) is less than 4.27 (four and twenty-seven hundredths).
- 4.27 is four hundredths more than 4.23.
The document Comparing and ordering decimals | Year 5 Mathematics is a part of the Year 5 Course Year 5 Mathematics.
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FAQs on Comparing and ordering decimals - Year 5 Mathematics
| 1. How do you compare decimal numbers? |  |
| 2. Can you order decimal numbers from least to greatest? | |
Ans. Yes, to order decimal numbers from least to greatest, first compare the whole number parts. If they are the same, look at the tenths place, then the hundredths place, and so on. Arrange the numbers based on these comparisons.
| 3. How do you convert a decimal to a fraction? | |
Ans. To convert a decimal to a fraction, count the number of decimal places. Write down the digits in the decimal as the numerator, and the place value of the last digit as the denominator. Simplify the fraction if needed.
| 4. What is the significance of the decimal point in a decimal number? | |
Ans. The decimal point separates the whole number part from the fractional part in a decimal number. It indicates the position of the units, tenths, hundredths, etc., helping to understand the value of each digit.
| 5. Why is it important to understand decimal numbers? | |
Ans. Understanding decimal numbers is important in everyday life for tasks like measuring, calculating money, and comparing quantities. Decimals help in representing parts of a whole or a group, making it easier to work with fractions and percentages.
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Apr 03, 2025
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Document Description: Comparing and ordering decimals for Year 5 2025 is part of Year 5 Mathematics preparation.
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