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Which of the place values (one, ten or hundred) need to change if each of the following is done to
316 and what will they become?
a. 10 is added
b. 100 is added
c. 1 is added
d. 20 is added
e. 300 is added



Answer :

GinnyAnswer
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.

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