[tex]\sf\large\bold{Answer:}[/tex]
Which decimal is the biggest?
0.9
Which decimal is the smallest?
0.5
When we arrange again those numbers in greatest (biggest) to least (smallest), it becomes 0.9, 0.7, 0.6, 0.5.
When we arrange again those numbers in least (smallest) to greatest (biggest), this is what they look: 0.5, 0.6, 0.7, 0.9.
[tex]\sf\large\bold{How \: \: to \: \: Know \: \: What \: \: Decimal \: \: Is \: \: The \: \: Greatest?}[/tex]
That's what we're going to learn now!
We just need to look at the whole number parts or the numbers that are before the decimal points if we want to know what decimal is the greatest. Some of you might ask, "What if the numbers before the decimal points are the same?", well, look at the numbers after the decimal points.
Take a look at the example below.
Arrange the following decimals in ascending order (smallest to greatest) and descending order (greatest to smallest).
0.8, 0.2, 0.1, 0.6, 0.3
0.1, 0.2, 0.3, 0.6, 0.8
0.8, 0.6, 0.3, 0.2, 0.1
In the first place, we notice that all of the whole number parts or the numbers before the decimal points are the same so, we have to look at the numbers on the right or the numbers after the decimal points. So as we can see, 1 is the smallest number, so 0.1 will be the smallest decimal. Next, we can see that 2 is also one of the smallest number so 0.2 will be the second smallest decimal. Moving on, based on the given decimals, 3 is the third smallest number so 0.3 will be the third smallest decimal. Last, we can see that 6 is one of the smallest number too so 0.6 will be the next smallest decimal and now, 8 is the largest number amongst the numbers earlier so 0.8 will be the largest number.
So, this is the opposite of ascending order. What we're going to do here is to arrange the decimals from biggest to smallest. In ascending order, the form of the given decimals will be 0.1, 0.2, 0.3, 0.6 and 0.8, now it's the opposite, 8 is the greatest right? So the order now will be 0.8, 0.6, 0.3, 0.2 and 0.1.
[tex]\sf\large\bold{Remember:}[/tex]
This topic is very helpful specially when comparing decimals, please remember this topic when comparing decimals. It will be easier for you to compare decimals if you know this topic.
I hope this answer helps you.