We've practiced division problems with remainders. Now we'll learn a way to check answers to these problems. Let's look at this problem:
The problem shows that 115 divided by 3 equals 38 with a remainder of 1. How do we know if this answer is correct? Here are steps we can follow:
First, we multiply the whole number in the quotient, or answer, by the divisor. Our multiplication problem is 38 times 3.
The product equals 114.
Second, we write this answer below 115. Then we subtract to find the remainder.
The difference we get equals 1. This is the remainder we see in our answer. Now we know that our quotient is correct.
Let's figure out the remainder for this problem:
To find the remainder, we multiply the whole number in the quotient by the divisor. Like this:
The product equals 1,504. Then we write our product below 1,506 and show it as a greater number for fours. Finally, we subtract to find the remainder.
Our remainder is 2. Now we can put this in the answer:
