Year 6 Exam > Year 6 Notes > Year 6 Mathematics > Adding decimals - 2
Adding decimals - 2 | Year 6 Mathematics PDF Download
Adding Decimals
- The purpose of this guide is to demonstrate how to add decimals with varying numbers of decimal places using the formal written method.
Examples
Example 1: What is 6.1 + 2.685 + 7.49?
Sol: Set out the calculation, making sure each digit is in the correct column based on its place value and that the decimal points are directly underneath one another.
You can write 6.1 as 6.100 and 7.49 as 7.490.
- Starting with the thousandths column: 0 thousandths plus 5 thousandths plus 0 thousandths equals 5 thousandths.
- Moving to the hundredths column: 0 hundredths plus 8 hundredths plus 9 hundredths equals 17 hundredths, which is equivalent to 1 tenth and 7 hundredths.
- Moving to the tenths column: 1 tenth plus 6 tenths plus 4 tenths plus the extra 1 tenth equals 12 tenths, which is equivalent to 1 one and 2 tenths.
- Moving to the ones column: 6 ones plus 2 ones plus 7 ones plus the extra 1 one equals 16 ones, which is equivalent to 1 ten and 6 ones.
Example 2: What is 47.48 + 6.759?
Sol: The first decimal has two decimal places and the second decimal has three decimal places.
Set out the calculation, making sure each digit is in the correct column based on its place value and that the decimal points are directly underneath one another.
You can write 7.48 as 7.480.
- Starting with the thousandths column: 0 thousandths plus 9 thousandths equals 9 thousandths.
- Moving to the hundredths column: 8 hundredths plus 5 hundredths equals 13 hundredths, which is equivalent to 1 tenth and 3 hundredths.
- Moving to the tenths column: 4 tenths plus 7 tenths plus the extra 1 tenth equals 12 tenths, which is equivalent to 1 one and 2 tenths.
- Moving to the ones column: 7 ones plus 6 ones plus the extra 1 one equals 14 ones, which is equivalent to 1 ten and 4 ones.
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FAQs on Adding decimals - 2 - Year 6 Mathematics
| 1. What are some common methods for adding 3-digit and 2-digit numbers together? |  |
Ans. Some common methods for adding 3-digit and 2-digit numbers include vertically aligning the numbers and adding the units, tens, and hundreds places separately, and using mental math strategies such as rounding or breaking down the numbers into easier-to-add parts.
| 2. How can you efficiently add 3-digit and 1-digit numbers together? | |
Ans. To efficiently add 3-digit and 1-digit numbers, you can start by adding the ones place together, then move on to the tens place, and finally add the hundreds place. You can also use mental math strategies like counting on or decomposing the numbers to make the addition easier.
| 3. What are some key steps to adding decimals in a UK school setting? | |
Ans. Key steps to adding decimals in a UK school setting include aligning the decimal points, adding the numbers as if they were whole numbers, and then correctly placing the decimal point in the answer. It is important to keep track of the decimal point throughout the addition process.
| 4. How can students practice adding decimals effectively to improve their skills? | |
Ans. Students can practice adding decimals effectively by using online resources, worksheets, and interactive games that provide opportunities to work on addition problems with decimals. They can also create their own decimal addition problems to solve independently or with a partner.
| 5. What are some common mistakes students make when adding decimals, and how can they be avoided? | |
Ans. Some common mistakes students make when adding decimals include misaligning decimal points, forgetting to carry over when necessary, and misinterpreting place value. These mistakes can be avoided by double-checking alignment, practicing consistently, and paying close attention to place value.
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Nov 23, 2024 Last updated |
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