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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? |  |
| 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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Apr 07, 2025
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