Explain how you could check the answer to a division question in which there is a remainder
if a/b = q remainder r, then
a = b*q + r
Try it with some small numbers:
37/8 = 4R5
4*8+5 = 37
Multiply the divisor by the quotient. Then add the remainder to that product.
50 divided by 12 = 4 with a remainder of 2.
4 * 12 = 48
48 + 2 = 50
multiply the answer to your math problem by your divisor then if you get a close answer then add the number of your remainders on and if you get the same answer as your quotient then its right
To check the answer to a division question with a remainder, you can use the division algorithm in two steps: division and remainder.
Step 1: Perform Division:
1. Divide the dividend (the number being divided) by the divisor (the number doing the dividing).
2. Write down both the quotient (the whole number result of the division) and the remainder (the amount left over).
3. Multiply the quotient by the divisor.
4. Add the remainder to the product obtained in step 3.
Step 2: Compare Results:
5. Check if the sum obtained in step 4 is equal to the dividend. If it is, then the quotient and remainder are correct. If not, there might be an error in the division.
Let's go through an example to illustrate this process:
Example: Divide 27 by 4.
Step 1: Perform Division:
- 27 ÷ 4 = 6 remainder 3
Step 2: Compare Results:
- Multiply the quotient (6) by the divisor (4): 6 × 4 = 24
- Add the remainder (3) to the product: 24 + 3 = 27
- Since the sum (27) is equal to the dividend (27), the quotient (6) and remainder (3) are correct.
By following these steps, you can check the answer to a division question with a remainder.