What is 23 Divided by 3?
Dividing 23 by 3 can be a bit tricky if you're not familiar with long division. It's a common math problem that can be solved using a few steps.
Here's how you can solve it:
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Set up the long division: Write 3 (the divisor) outside the division symbol and 23 (the dividend) inside.
3 | 23 -
Divide the first digit: 3 doesn't go into 2, so we look at the first two digits, 23. How many times does 3 go into 23? It goes in 7 times (7 x 3 = 21).
3 | 23 7 -
Multiply and subtract: Multiply the quotient (7) by the divisor (3) and write the product (21) below 23. Subtract 21 from 23, which leaves 2.
3 | 23 7 --- 2 -
Bring down the next digit: Since there are no more digits in the dividend, we've reached the end of the division.
The result: 23 divided by 3 is 7 with a remainder of 2. This can be written as 7 R2 or 7 2/3.
Understanding the answer:
- 7 represents the whole number of times 3 goes into 23.
- 2 represents the remainder, the amount left over after dividing 23 as evenly as possible by 3.
- 2/3 represents the remainder expressed as a fraction. It indicates that 2 out of 3 parts are left over.
Key Takeaway: Dividing 23 by 3 results in a mixed number, representing a whole number (7) and a fraction (2/3).
Important Note: Always remember that the remainder is always less than the divisor. In this case, 2 (remainder) is less than 3 (divisor).
Tips for Similar Problems:
- Practice: Doing more division problems will help you improve your understanding and speed.
- Visual aids: Using manipulatives like blocks or counters can help visualize division.
- Real-world application: Look for examples of division in your everyday life, such as dividing a cake into equal pieces or sharing toys.