Question:
Order each set of cards from least to greatest.
a. 0.25, √(1/9), (6/25)
b. √(121/25), 2.25, √5
Answer:
a. [tex]\frac{6}{25}[/tex]; [tex]0.25[/tex] and [tex]\sqrt{\frac{1}{9}}[/tex]
b. 2.2; 2.2361; 2.25
Step-by-step explanation:
Solving a. 0.25, √(1/9), (6/25)
Rewrite each number in decimals:
[tex]0.25[/tex]
[tex]\sqrt{\frac{1}{9}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3} =0.333[/tex]
[tex]\frac{6}{25} = 0.24[/tex]
At this stage, the numbers can then be ordered as follows;
0.24; 0.25; 0.333
[tex]\frac{6}{25}[/tex]; [tex]0.25[/tex] and [tex]\sqrt{\frac{1}{9}}[/tex]
Solving b. √(121/25), 2.25, √5
Rewrite each number in decimals:
[tex]\sqrt{\frac{121}{25}} = \frac{\sqrt{121}}{25}} = \frac{11}{5} = 2.2[/tex]
[tex]2.25[/tex]
[tex]\sqrt{5} = 2.2361..[/tex]
At this stage, the numbers can then be ordered as follows;
2.2; 2.2361; 2.25 which gives
[tex]2.2[/tex]; [tex]\sqrt{5}[/tex] and [tex]2.25[/tex]
