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 259 as an example. To add or subtract 10 from this number, we need to understand the concept of place value.
From left to right, the first digit represents the hundreds place, the second digit represents the tens place, and the third digit represents the ones place.
1. Adding 10: To add 10 to 259, we focus on the tens place. Since the tens place is a 5, we can increase it by 1 to get 6. Thus, adding 10 to 259 results in 269.
2. Subtracting 10: To subtract 10 from 259, we again focus on the tens place. Since the tens place is a 5, we can decrease it by 1 to get 4. Therefore, subtracting 10 from 259 gives us 249.
Now let's move on to adding and subtracting 100:
3. Adding 100: This time, we pay attention to the hundreds place. In our example, the hundreds place is 2. To add 100, we increase the hundreds place by 1, resulting in 3. Therefore, adding 100 to 259 gives us 359.
4. Subtracting 100: Again, we concentrate on the hundreds place. With the hundreds place being 2, we decrease it by 1 to get 1. Hence, subtracting 100 from 259 yields 159.
By understanding the concept of place value, we analyze each digit's significance and manipulate them accordingly to add or subtract the desired value.