Identify the ascending numerical order of these fractions and decimals: 7/9, 2/3, 0.8, 0.857, 0.833.
In ascending numerical order, the fractions and decimals would be:
7/9, 0.833, 2/3, 0.8, 0.857
To identify the ascending numerical order of these fractions and decimals, we can compare them from smallest to largest.
First, let's convert the fractions to decimals for easier comparison:
- 7/9 = 0.777...
- 2/3 = 0.666...
Now let's list them in ascending order:
- 0.666...
- 0.777...
- 0.8
- 0.833
- 0.857
So, the ascending numerical order of these fractions and decimals is:
2/3, 7/9, 0.8, 0.833, 0.857.
To identify the ascending numerical order of the given fractions and decimals, we need to arrange them from smallest to largest.
Let's start by comparing the fractions:
7/9 and 2/3:
To compare fractions, we need to make sure they have the same denominator. In this case, we can convert both fractions to have a denominator of 9.
7/9 = 7 * (9/9) = 63/9
2/3 = 2 * (3/3) = 6/9
Now we can compare 63/9 and 6/9. It is evident that 6/9 is smaller than 63/9.
Next, let's compare the decimals:
0.8, 0.857, and 0.833:
Comparing decimals is straightforward since they are already in decimal format. We can directly observe that 0.8 is the smallest value.
Now let's compare all the values we have compared so far:
0.8, 6/9, 0.857, 0.833
From smallest to largest, the ascending order is:
0.8, 6/9, 0.833, 0.857
Therefore, the ascending numerical order of the fractions and decimals is:
0.8, 6/9, 0.833, 0.857.