Let's compare 9.11 and 9.8. First, we look at the whole number parts - both numbers have 9, so they're equal there. Next, we compare the decimal parts. 9.11 has 0.11 in the decimal part, while 9.8 has 0.8. Since 0.8 is greater than 0.11, we conclude that 9.8 is greater than 9.11.
Let's break down these decimal numbers by place value. 9.11 equals 9 plus 0.1 plus 0.01. Meanwhile, 9.8 equals 9 plus 0.8. When we compare the tenths place, we see that 0.1 is less than 0.8. This is the key difference that makes 9.8 larger than 9.11.
Let's visualize this on a number line. Here we can clearly see both numbers positioned between 9 and 10. 9.11 is closer to 9, while 9.8 is much closer to 10. The visual representation makes it obvious that 9.8 is to the right of 9.11, confirming that 9.8 is the larger number. The difference between them is 0.69.
Another way to compare these numbers is to write them with the same number of decimal places. We can write 9.8 as 9.80, adding a zero in the hundredths place. Now we're comparing 9.11 versus 9.80. Looking at just the decimal parts, 11 is clearly less than 80, which confirms our answer that 9.8 is greater than 9.11.
今天我们要学习如何比较小数的大小。我们的任务是比较9.11和9.8，看看哪个数字更大。这是一个很重要的数学技能，让我们一步步来学习。
首先，我们需要理解这两个小数的结构。9.11有个位数字9，十分位数字1，百分位数字1。而9.8有个位数字9，十分位数字8，百分位可以看作是0。理解小数的位值是比较大小的关键。
现在我们开始逐位比较。首先比较个位：9.11的个位是9，9.8的个位也是9，所以个位相同。接下来比较十分位：9.11的十分位是1，9.8的十分位是8。因为8大于1，所以9.8大于9.11。
我们可以用数轴来直观地理解这个比较。在数轴上，9.11位于大约9.1的位置，而9.8位于接近9.8的位置。我们可以清楚地看到，9.8在数轴上位置更靠右，这证明了9.8确实比9.11大。
让我们总结一下比较过程。第1步：我们比较了个位数字，9.11和9.8的个位都是9，所以相等。第2步：我们比较了十分位，9.11的十分位是1，9.8的十分位是8。第3步：因为8大于1，我们得出结论9.8大于9.11。答案是9.8更大。记住，比较小数时，要从左到右逐位比较，从十分位开始比较小数部分。