Year 6 Exam > Year 6 Notes > Year 6 Mathematics > Divide up to 4 digits by 1 digit
Divide up to 4 digits by 1 digit | Year 6 Mathematics PDF Download
Division of 4-Digit Numbers
When dividing a 4-digit number by a 1-digit number, it's essential to understand the place value system and how to break down the calculation effectively.
Examples
Example 1: What is 6324 divided by 6?
Sol: 6 divided into 6 (thousands) goes exactly once – no remainder.
6 cannot be divided into 3 – there is not even one six in three! So just move the 3 (hundreds) to make 32 (tens).
6 divided into 32 (tens) goes 5 (tens) and 2 (tens) left over.
6 divided into 24 (ones) goes exactly 4 (ones) – no remainder.
Example 2: What is 6396 divided by 3?
Sol: In this example we will break down the calculation using place value counters.
The place value chart shows the number 6396. There are 6 thousands, 3 hundreds, 9 tens and 6 ones. To divide this by 3, look at the values in the individual columns.
6 thousands divided by 3 is 2 thousands, 3 hundreds divided by 3 is 1 hundred, 9 tens divided by 3 is 3 tens and 6 divided by 3 is 2 ones.
So 6396 ÷ 3 = 2132.
- Here's how 6396 is represented in a place value chart: there are 6 thousands, 3 hundreds, 9 tens, and 6 ones. To divide this number, you arrange the counters into 3 equal groups.
- Dividing the counters into 3 groups results in: 6 thousands divided by 3 equals 2 thousands, 3 hundreds divided by 3 equals 1 hundred, 9 tens divided by 3 equals 3 tens, and 6 ones divided by 3 equals 2 ones. Therefore, 6396 ÷ 3 equals 2132.
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FAQs on Divide up to 4 digits by 1 digit - Year 6 Mathematics
| 1. How do you divide a 4-digit number by a 1-digit number? |  |
Ans. To divide a 4-digit number by a 1-digit number, you can use long division. Start by dividing the first digit of the dividend by the divisor. If the divisor is larger than the first digit, consider the first two digits. Continue this process until you have divided all the digits of the dividend.
| 2. What should you do if there is a remainder when dividing a 4-digit number by a 1-digit number? | |
Ans. If there is a remainder when dividing a 4-digit number by a 1-digit number, you can choose to express the answer as a mixed number, a decimal, or a fraction. You could also round up or down depending on the context of the problem.
| 3. Can you give an example of dividing a 4-digit number by a 1-digit number? | |
Ans. For example, if you divide 4567 by 5, the result would be 913 with a remainder of 2. This can be expressed as 913 r2, 913.4 (rounded to one decimal place), or as a fraction 913 2/5.
| 4. How can division of 4-digit numbers by 1-digit numbers be applied in real-life situations? | |
Ans. Division of 4-digit numbers by 1-digit numbers can be useful in various real-life situations such as splitting a large amount of money among a certain number of people, calculating the average score of a team in a sports game, or determining the number of days in a certain period of time.
| 5. Are there any shortcuts or tricks to make dividing 4-digit numbers by 1-digit numbers easier? | |
Ans. One helpful trick is to estimate the quotient before doing the long division to get a sense of what the answer might be. You can also use mental math strategies, such as breaking down the 4-digit number into smaller parts that are easier to divide by the 1-digit number.
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Dec 26, 2024 Last updated |
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