Question
Write About it 8. Explain what happens to the number of hundreds and tens when 10 tens are regrouped as I hundred.
Ask by Hall Cross. in the United States
Feb 27,2025
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Answer
When you have 10 tens, you can regroup them into 1 hundred. This means the number of tens decreases by 10, and the number of hundreds increases by 1.
Solution
In our place value system, every digit represents a different value based on its position. The ones, tens, hundreds, and so on, all increase in value by factors of 10. When you have 10 tens, you actually have 10 × 10, which equals 100. Instead of carrying around 10 tens, it’s more efficient to regroup them into 1 hundred.
Here's what happens step by step:
1. You start with 10 tens.
2. Since 10 tens make 100, you take those 10 tens and convert them into 1 hundred.
3. The tens position then loses 10 tens (leaving 0 tens in that particular grouping), while the hundreds position increases by 1.
In summary, regrouping 10 tens into 1 hundred means that the number of tens decreases by 10, and the number of hundreds increases by 1.
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When 10 tens are regrouped into 1 hundred, the number of tens decreases by 10 because you're essentially pulling those tens together to form a new hundred. So, if you started with some number of tens, let's say 25, and you regroup 10 of them, you'd be left with 15 tens and now 1 additional hundred. It's like tidying up your tens to create something bigger! On the flip side, this means that the total number of hundreds increases by 1. So in our example, those 25 tens transitioned neatly into 1 hundred and 15 tens, showcasing how regrouping can simplify and enhance our understanding of place value in numbers. How cool is that?
