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Subtracting Decimals
Learn how to subtract decimals that have a different number of decimal places.
Examples
Example 1: 4.37-2.524 =
Sol: In this example, the first number has two decimal places and the second number has three decimal places.
Let's work this out step by step:
- 4 thousandths cannot be taken away from 0 thousandths so we exchange 1 hundredth for 10 thousandths. 10 thousandths take away 4 thousandths is 6 thousandths.
- 6 hundredths take away 2 hundredths is 4 hundredths.
- 5 tenths cannot be taken away from 3 tenths, so we exchange 1 one for 10 tenths. 13 tenths take away 5 tenths is 8 tenths.
- 3 ones take away 2 ones is 1 one.
4.37 - 2.524 = 1.846
Example 2: 8.67 - 3.5 =
Sol: Let's set out the calculation as a column subtraction.
When we set out a column subtraction we make sure our ones, tenths and hundredths are in the right column and the decimal points are lined up.
As with any column subtraction, we start on the right hand side:
- 7 hundredths take away 0 hundredths is 7 hundredths.
- 6 tenths take away 5 tenths is 1 tenth.
- 8 ones take away 3 ones is 5 ones.
8.67 - 3.5 = 5.17
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FAQs on Subtracting decimals - 2 - Year 6 Mathematics
| 1. What is the process for subtracting decimals? |  |
Ans. To subtract decimals, align the decimal points and then subtract each column starting from the right. If needed, add zeros as placeholders to keep the columns aligned.
| 2. Can you subtract decimals without using a calculator? | |
Ans. Yes, you can subtract decimals without using a calculator by following the process of aligning the decimal points and subtracting each column manually.
| 3. What is the importance of aligning decimal points when subtracting decimals? | |
Ans. Aligning decimal points is important when subtracting decimals to ensure that the correct place value is maintained and the numbers are subtracted accurately.
| 4. How do you handle borrowing when subtracting decimals? | |
Ans. When subtracting decimals, if the number being subtracted is larger than the number it is being subtracted from, you may need to borrow from the next column to the left just like in whole number subtraction.
| 5. Are there any real-life applications of subtracting decimals? | |
Ans. Yes, subtracting decimals is commonly used in financial transactions, such as balancing a checkbook or calculating expenses. It is also used in measurements, such as when subtracting lengths or weights.
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Dec 26, 2024 Last updated |
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