Identify the ascending numerical order of these fractions and decimals: 7/9,2/3,0.8,0.857,0.833.
To identify the ascending numerical order of these fractions and decimals, we need to line them up from smallest to largest.
First, let's convert the fractions to decimals for easier comparison:
7/9 = 0.777...
2/3 = 0.666...
0.8, 0.857, 0.833
Now, let's arrange them in ascending order:
0.666..., 0.777..., 0.8, 0.833, 0.857
Therefore, the ascending numerical order 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 compare their values. One way to compare fractions is to convert them to decimals.
Let's start by converting the fractions to decimals:
- To convert 7/9 to a decimal, we divide 7 by 9: 7 ÷ 9 ≈ 0.7778.
- To convert 2/3 to a decimal, we divide 2 by 3: 2 ÷ 3 ≈ 0.6667.
Now, let's compare the decimals and decimals provided directly:
- 0.8 is already in decimal form.
- 0.857 is already in decimal form.
- 0.833 is already in decimal form.
Now, let's compare all the decimals:
- 0.6667 < 0.7778 < 0.8 < 0.833 < 0.857.
So, the ascending numerical order of the given fractions and decimals is:
2/3 < 7/9 < 0.8 < 0.833 < 0.857.
Ascending order of the given fractions and decimals:
0.8 < 0.833 < 0.857 < 2/3 < 7/9