Find 1234 ÷ 99 using the division by 99 method.a)12 remainder 46b)12 r...
Split 1234 as 12|34. Step 1: 12. Step 2: 12 + 34 = 46 (remainder). So, 1234 ÷ 99 = 12 remainder 46.
Find 1234 ÷ 99 using the division by 99 method.a)12 remainder 46b)12 r...
Understanding the Division by 99 Method
To solve 1234 ÷ 99 using the division by 99 method, we follow these steps:
Step 1: Estimate the Quotient
- First, we need to estimate how many times 99 can fit into 1234.
- We can start by simplifying the numbers. Since 100 is close to 99, we can use it for a rough estimate:
- 1234 ÷ 100 = 12.34, which suggests that 99 might fit around 12 times.
Step 2: Multiply and Subtract
- Now, we multiply our estimated quotient (12) by 99:
- 12 × 99 = 1188.
- Next, we subtract this result from 1234 to find the remainder:
- 1234 - 1188 = 46.
Step 3: Conclusion
- We can now express our original division as:
- 1234 ÷ 99 = 12 with a remainder of 46.
Thus, the final answer is:
Final Answer: 12 remainder 46
Correct Option: a) 12 remainder 46
This method efficiently breaks down the division process and allows us to handle numbers that might seem complex at first glance.