choose any 3 digit number. How you can add and substract 10 and 100 from that number. Explain your mental strategies for adding or substrating based on placevalue usring precise language and models correctly
Let's choose the three-digit number 246 as an example.
To add 10 and 100 to the number 246, we can add each number separately.
Adding 10:
- When we add 10 to a three-digit number, we only need to focus on the ones place. So, we add 10 to the ones place of 246, which is 6.
- When we add 10 to 6, we get 16.
- Therefore, adding 10 to 246 gives us 256.
Adding 100:
- When we add 100 to a three-digit number, we need to focus on the hundreds place.
- In our example, we add 100 to the hundreds place of 246, which is 2.
- When we add 100 to 2, we get 102.
- Thus, adding 100 to 246 gives us 346.
To subtract 10 and 100 from the number 246, we can use a similar process.
Subtracting 10:
- To subtract 10 from a three-digit number, we only need to focus on the ones place. So, we subtract 10 from the ones place of 246, which is 6.
- When we subtract 10 from 6, we get -4 (negative four). Note that the negative sign indicates a decrease.
- Hence, subtracting 10 from 246 gives us 236.
Subtracting 100:
- To subtract 100 from a three-digit number, we need to focus on the hundreds place.
- In our example, we subtract 100 from the hundreds place of 246, which is 2.
- When we subtract 100 from 2, we get -98 (negative ninety-eight).
- Therefore, subtracting 100 from 246 gives us 146.
In summary, by considering place value, we add and subtract 10 by focusing on the ones place, and add and subtract 100 by focusing on the hundreds place. This ensures accurate calculations and understanding of the impact of each operation on the overall number.
To add or subtract 10 and 100 from a three-digit number, we need to understand place value and how it affects the value of each digit. Let's start by choosing a random three-digit number as an example, let's say 567.
To add or subtract 10, we are modifying the tens place, and to add or subtract 100, we are modifying the hundreds place. Let's break down each operation step by step:
Adding 10:
To add 10 to a three-digit number, we only need to focus on the tens place. In our example of 567, the tens place is 6. Adding 10 to 6 gives us 16, while keeping the hundreds place and the ones place unchanged.
Subtracting 10:
To subtract 10 from a three-digit number, we also focus on the tens place. In the example of 567, the tens place is 6. Subtracting 10 from 6 gives us 6 minus 10, which equals -4. Since we cannot have a negative digit in this position, we borrow from the hundreds place. Borrowing 1 from the hundreds place, we reduce it from 5 to 4, and the tens place becomes 14.
Adding 100:
When adding 100 to a three-digit number, we only need to focus on the hundreds place. In our example of 567, the hundreds place is 5. Adding 100 to 5 gives us 105, while keeping the tens place and the ones place unchanged.
Subtracting 100:
To subtract 100 from a three-digit number, we focus on the hundreds place. In the example of 567, the hundreds place is 5. Subtracting 100 from 5 gives us 5 minus 1 hundred, which equals -95. Since we cannot have a negative digit in this position, we need to borrow from the thousands place. However, since we are dealing with a three-digit number, we do not have a thousands place. Therefore, subtracting 100 cannot be done in this case.
In summary, to add or subtract 10 and 100 from a three-digit number, we manipulate the digits in the tens and hundreds places, considering both positive and negative results. It's essential to understand place value to correctly perform these operations.