which is one one way to check 102 ÷ 6 = 17
The Correct Answer and Explanation is:
To check the division of 102 by 6 and verify if it equals 17, one simple method is to multiply the result by the divisor and see if we get the dividend back. In this case, we have the division:102÷6=17102 \div 6 = 17102÷6=17
Steps for checking:
- Multiply the result (17) by the divisor (6): 17×6=10217 \times 6 = 10217×6=102
- Compare the product (102) to the original dividend (102):
The result is 102, which matches the original number we were dividing. This confirms that the division was done correctly.
Explanation:
The logic behind this method is based on the fact that division is the inverse operation of multiplication. When we divide 102 by 6, we are essentially asking, “How many times does 6 go into 102?” The quotient (17) is the number of times 6 fits into 102. By multiplying 17 by 6, we are essentially undoing the division and checking if we can get back the number we started with (102). If the result of multiplication equals the original dividend, then the division was correct.
This technique is commonly used as a quick check to verify the accuracy of division operations. It is especially useful in manual calculations or mental math to ensure that the result of a division is correct.
