968/12

Lyra Rowan

2 min read

·

29-09-2024

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968/12: Demystifying Division

The division problem 968/12 might seem daunting at first glance, but with a little understanding of long division, it becomes a breeze. Let's break down this calculation, using insights from Brainly users and adding our own explanations.

Understanding Long Division

Long division is a method for dividing large numbers into smaller parts. It involves a series of steps that ultimately reveal the quotient (the result of the division) and the remainder (any leftover amount).

Steps for Solving 968/12

1. Setting Up: We write the dividend (968) inside the division symbol and the divisor (12) outside.

      ____
12 | 968

2. Estimating the Quotient: We ask: "How many times does 12 go into 96 (the first two digits of the dividend)?". The answer is 8 (since 12 x 8 = 96). We write 8 above the 6 in the dividend.

      8__
12 | 968
      96
      ---

3. Multiplying and Subtracting: We multiply the divisor (12) by the quotient (8) and write the result (96) below the 96 in the dividend. We then subtract 96 from 96, leaving us with 0.

4. Bringing Down the Next Digit: We bring down the next digit of the dividend (8) next to the 0.

      8__
12 | 968
      96
      ---
       8

5. Repeating the Process: We now ask: "How many times does 12 go into 8?" Since 12 is larger than 8, it goes in 0 times. We write 0 above the 8 in the dividend.

      80_
12 | 968
      96
      ---
       8
       0

6. Calculating the Remainder: We multiply 12 by 0 (which is 0) and write it below the 8. Subtracting, we get a remainder of 8.

      80_
12 | 968
      96
      ---
       8
       0
       ---
       8

Result:

The quotient is 80, and the remainder is 8. This means that 968 divided by 12 is equal to 80 with a remainder of 8. We can also express this result as a mixed number: 80 8/12, which can be simplified to 80 2/3.

Brainly Insights

• Several Brainly users highlight the importance of long division as a fundamental math skill.
• One user emphasizes the use of estimation, stating "Always try to estimate the quotient before dividing, it will help you avoid mistakes."
• Another user suggests breaking down the problem into smaller, more manageable steps to avoid confusion.

Real-World Application

Long division is essential in numerous practical situations. Imagine you have 968 candies and want to distribute them equally among 12 friends. By using long division, you can determine that each friend will receive 80 candies, and you'll have 8 candies left over.

Conclusion

Mastering long division is crucial for tackling various mathematical problems and real-world applications. By breaking the process down step-by-step and utilizing estimation techniques, division becomes a less intimidating process. Remember, practice is key to achieving mastery!