Which Is One Way to Check Out the Answer to 120 ÷ 4 = 30?
Division is a fundamental mathematical operation used to distribute or split a quantity into equal parts. It allows us to find out how many times one number can be divided by another. In this article, we will explore one way to check the answer to the division problem 120 ÷ 4 = 30.
To understand how to check the answer, let’s first solve the problem step by step:
Step 1: Divide the first digit of the dividend (120) by the divisor (4). In this case, 1 divided by 4 is 0.25. Write down the quotient (0) and carry over the remaining 1.
Step 2: Bring down the next digit of the dividend (2) and place it next to the remainder of the previous step. Now, we have 12.
Step 3: Divide 12 by 4. The result is 3. Write down the quotient (3) and carry over the remaining 0.
Step 4: There are no more digits in the dividend, so the division is complete. The quotient is 30.
Now that we have found the quotient, let’s explore one way to check if our answer is correct.
The method we will use to check the answer is called multiplication by the inverse. To check the solution to a division problem, we multiply the quotient by the divisor to see if it equals the dividend. In this case, we multiply the quotient (30) by the divisor (4) to check if it equals the dividend (120).
30 × 4 = 120
If the product is equal to the dividend, it verifies that the division was done correctly. In this case, 120 equals 120, which confirms that our division was accurate.
Q: What is the purpose of checking the answer to a division problem?
A: Checking the answer ensures that the division was performed correctly. It helps identify any mistakes made during the calculation process.
Q: Why is multiplication by the inverse used to check division?
A: Multiplication by the inverse is used because division and multiplication are inverse operations. When we divide a number by another, multiplying the quotient by the divisor should give us the original dividend.
Q: Are there other ways to check the answer to a division problem?
A: Yes, there are various methods to check division answers. Some common techniques include using estimation, performing the inverse operation (multiplication), or verifying the digit placement.
Q: What should I do if the multiplication does not equal the dividend?
A: If the multiplication does not equal the dividend, it indicates an error in the division calculation. You should recheck your steps and calculations to identify the mistake.
Q: Is checking the answer necessary for all division problems?
A: While checking the answer is not mandatory, it is highly recommended. It helps to ensure accuracy and build confidence in your mathematical skills. It becomes particularly crucial when dealing with complex and lengthy division problems.
In conclusion, one way to check the answer to the division problem 120 ÷ 4 = 30 is by multiplying the quotient by the divisor to see if it equals the dividend. Checking the solution helps to identify any errors made during the division process and ensures accuracy in mathematical calculations.