In any math problem, it is very important that you check your answers. In this video, we are going to go over how to check your answers when doing long division problems. One way to make sure your answers are accurate is by using estimates. You should be using estimates anytime you solve a math problem. For this series of problems, we will show you how to check your answer all the way down to the hundredths or thousandths place. All we need to do with a division problem is take our answer and multiply it by the divisor. In this case, the answer is 21 and the divisor is 6. So, we will multiply 21 by 6, which should equal 126. We set up our lattice to multiply and get 126. We can confidently say that we solved this problem correctly. Let's try one more example. We want to check if 41.3 divided by 7 equals 5.9. We multiply 5.9 by 7 and get 41.3. We can again say with 100% accuracy that 41.3 divided by 7 equals 5.9. It is important to check all your answers, even when there is a remainder. The first problem is 2567 divided by 5. We divide, multiply, subtract, and bring down to get the quotient 513 with a remainder of 2. To check this answer, we multiply 513 by 5 and get 2565. Then we add the remainder of 2 to get 2567, which matches the top number. So, our answer is correct. Let's do one more example. 584 divided by 3. We use partial quotients and find that the quotient is 194 with a remainder of 2. To check this answer, we multiply 194 by 3 and get 582. We add the remainder of 2 to get 584, which matches the...
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