Answer:
[tex]\frac{45}{45}=1[/tex]
[tex]1<\frac{6}{3}[/tex]
[tex]\frac{2}{7}<1[/tex]
[tex]\frac{64}{23}>1[/tex]
Step-by-step explanation:
Given the statements
we have to insert the greater than, less than, or equal sign to make each statement true.
[tex]\text{Statement 1: }\frac{45}{45}?1[/tex]
[tex]\frac{45}{45}...1[/tex]
[tex]1...1[/tex]
which are equal
∴ [tex]1=1[/tex]
[tex]\text{Statement 2: }1?\frac{6}{3}[/tex]
[tex]1...\frac{6}{3}[/tex]
[tex]1...2[/tex]
2 is greater than 1
∴ [tex]1<2[/tex]
[tex]\text{Statement 3: }\frac{2}{7}?1[/tex]
[tex]\frac{2}{7}...1[/tex]
[tex]0.286...1[/tex]
1 is greater than 0.286
∴ [tex]0.286<1[/tex]
[tex]\text{Statement 4: }\frac{64}{23}?1[/tex]
[tex]\frac{64}{23}...1[/tex]
[tex]2.783...1[/tex]
2.783 is greater than 1
∴ [tex]2.783>1[/tex]
