All questions of Subtraction for Class 6 Exam
9 is reduced by 5 (one more than 4 from 4321) to get 4. Apply the sutra to 321: 3 from 9 is 6, 2 from 9 is 7, 1 from 10 is 9. So, 9000 - 4321 = 4679.
Understanding the Cost and Payment
You paid Rs. 20 for an item that costs Rs. 3.78. To find out your change using the "All from 9 and the Last from 10" method, follow these steps:
Step 1: Calculate the Change
- Total amount paid: Rs. 20
- Cost of the item: Rs. 3.78
- Change = Amount Paid - Cost of Item = 20 - 3.78
Step 2: Using the "All from 9 and the Last from 10" Method
This method helps in quick subtraction. Here's how it works:
- For the rupee part (20 - 3):
- From 9, subtract the whole number part of the cost (3):
- 9 - 3 = 6
- For the paise part (20 - 0.78):
- First, convert 0.78 into paise (78 paise):
- 100 - 78 = 22 (this represents the last digit from 10)
Step 3: Combine the Results
- Now combine the results:
- You have Rs. 16 (from the rupee part) and Rs. 0.22 (from the paise part).
Final Calculation
- Add them together:
- 16 + 0.22 = 16.22
Therefore, the change you receive is Rs. 16.22, confirming that the correct answer is option 'A'.
Apply the sutra "All from 9 and the Last from 10": subtract 6 from 9 to get 3, 7 from 9 to get 2, and 3 from 10 to get 7. Thus, 1000 - 673 = 327.
Understanding the Concept
To solve 500 - 76 using the "All from 9 and the Last from 10" method, we will break down the numbers involved.
Step 1: Subtract from 9
- For each digit in 76, we subtract it from 9.
- The first digit is 7: 9 - 7 = 2
- The second digit is 6: 9 - 6 = 3
Now, we have the digits 2 and 3.
Step 2: Apply "The Last from 10"
- Since the last digit of 76 is 6, we need to subtract 1 from 10 for the last part.
- 10 - 6 = 4
Now, we combine the results from Step 1 and Step 2.
Combining Results
- The first result was 2 and the second was 3, but we need the last digit to be 4 (from the last step).
- So we have 2 and 3, but since we are applying "One less than the one before," we need to adjust the numbers accordingly.
Now, we have:
- First digit becomes 4 (2 + 2)
- Second digit becomes 4 (3 + 1)
Final Calculation
Combining these, we get 424.
Thus, the answer to 500 - 76 is 424, which corresponds to option 'B'.
Conclusion
- The process simplifies subtraction by transforming the numbers.
- Using these methods, we can find the answer efficiently and accurately.
Split as 58|42 - 26|39. Calculate 58 - 26 = 32 and 42 - 39 = 3. Combine: 3203. Thus, 5842 - 2639 = 3203.
19 is close to 20 (1 less). Subtract 20 from 47 to get 27, then add 1 back: 27 + 1 = 28. Thus, 47 - 19 = 28.
Understanding the Problem
To solve the problem of subtracting 56 from 92 using the left-to-right method, we need to break the numbers down into manageable parts.
Step-by-Step Breakdown
- Start with the number 92.
- We can break 56 into parts: 50 and 6.
Performing the Subtraction
1. Subtract 50 from 92:
- 92 - 50 = 42
2. Now, subtract the remaining 6 from the result:
- 42 - 6 = 36
Conclusion
- Therefore, when you subtract 56 from 92 using the left-to-right method, the result is 36.
Final Answer
- The correct answer is option 'A: 36'.
Understanding the Problem
To solve the problem 10,000 - 578 using the method "All from 9 and the Last from 10," we need to first visualize the numbers involved.
Step 1: Align the Numbers
- Write the numbers in a column format for clarity:
10000
- 0578
Step 2: Apply "All from 9 and the Last from 10"
This method involves subtracting each digit from 9, except for the last digit, which is subtracted from 10.
Step 3: Break Down the Calculation
- Thousands place: 9 - 0 = 9
- Hundreds place: 9 - 5 = 4
- Tens place: 9 - 7 = 2
- Units place: 10 - 8 = 2
Putting it all together, we have:
9422
Step 4: Identify the Correct Answer
From the calculation, we find that 10,000 - 578 equals 9,422.
Now, let's look at the options provided:
- a) 9422
- b) 9522
- c) 9322
- d) 9622
The correct answer is option 'A' - 9422.
Conclusion
Using the method of "All from 9 and the Last from 10" is an efficient way to perform subtraction without borrowing. It simplifies the process and helps to arrive at the correct answer.
- To subtract 489 from 1000 using the base method, we transform the subtraction into a simpler form.
- Start with 1000, which is a round number.
- Apply the "All from 9 and the Last from 10" rule:
- From the rightmost digit (0), we need to take 9, so we borrow 1 from the next digit.
- This converts the 0 to 10 (after borrowing), making it 10 - 9 = 1.
- The next digit becomes 9 (due to borrowing), so 9 - 8 = 1.
- Finally, since we borrowed from the hundreds, we have 9 left from 10, so 10 - 4 = 5.
- Thus, 1000 - 489 = 511.
Understanding the "Complete the Whole" Method
The "complete the whole" method is a useful technique for simplifying subtraction problems, especially when working with numbers close to a base like 10 or 100.
Step-by-Step Calculation of 73 - 48
1. Identify the Base
For this problem, we can use the base of 50, which is close to both numbers.
2. Complete to the Base
To simplify 48, we can think about how much we need to add to reach 50.
- 50 - 48 = 2
3. Adjust the Other Number
Now, we add this 2 to 73 to maintain balance.
- 73 - 48 can be rephrased as 73 - (48 + 2) + 2
4. Calculate the New Values
- This simplifies to:
73 - 50 + 2
- Which equals:
23 + 2 = 25
Final Result
Thus, the answer to 73 - 48 is 25. The correct answer is option 'B'.
Why This Method Works
- Visualizing the Numbers
This method helps visualize how numbers fit together, making subtraction easier.
- Breaking Down Complex Problems
By adjusting the numbers to a base, we simplify the calculation and avoid mistakes.
Using the "complete the whole" method not only makes calculations straightforward but also strengthens number sense, which is essential in mathematics.