Sure, let's go through each calculation step-by-step.
### Initial Number:
The original number is 316.
### (a) Adding 10 to 316
Step-by-step calculation:
- 316 + 10 = 326
- Place value comparison:
- Hundreds place: 3 remains the same
- Tens place: 1 changes to 2
- Ones place: 6 remains the same
Place values that change:
- Tens place
Result:
- The new number is 326
- Changed place value: Tens
### (b) Adding 100 to 316
Step-by-step calculation:
- 316 + 100 = 416
- Place value comparison:
- Hundreds place: 3 changes to 4
- Tens place: 1 remains the same
- Ones place: 6 remains the same
Place values that change:
- Hundreds place
Result:
- The new number is 416
- Changed place value: Hundreds
### (c) Adding 1 to 316
Step-by-step calculation:
- 316 + 1 = 317
- Place value comparison:
- Hundreds place: 3 remains the same
- Tens place: 1 remains the same
- Ones place: 6 changes to 7
Place values that change:
- Ones place
Result:
- The new number is 317
- Changed place value: Ones
### (d) Adding 20 to 316
Step-by-step calculation:
- 316 + 20 = 336
- Place value comparison:
- Hundreds place: 3 remains the same
- Tens place: 1 changes to 3
- Ones place: 6 remains the same
Place values that change:
- Tens place
Result:
- The new number is 336
- Changed place value: Tens
### (e) Adding 300 to 316
Step-by-step calculation:
- 316 + 300 = 616
- Place value comparison:
- Hundreds place: 3 changes to 6
- Tens place: 1 remains the same
- Ones place: 6 remains the same
Place values that change:
- Hundreds place
Result:
- The new number is 616
- Changed place value: Hundreds
### Summary:
- Adding 10 to 316 changes the tens place.
- Adding 100 to 316 changes the hundreds place.
- Adding 1 to 316 changes the ones place.
- Adding 20 to 316 changes the tens place.
- Adding 300 to 316 changes the hundreds place.
