0.36 (repeating 36):
x=0.36(repeating 36)
100x=36.36(repeating 36)
-x -0.36(repeating 36)
99x=36
Divide 99 on both sides
x=36/99
x=4/11
First answer: 4/11
0.36 (repeating 6)
x=0.36 (repeating 6)
10x=3.6 (repeating 6)
100x=36.6 (repeating 6)
-10x -3.6 (repeating 6)
90x=33
Divide 90 on both sides
x=33/90
x=11/30
Second answer: 11/30
0.36:
0.36
=36/100
Divide numerator and denominator by 4
=9/25
Third answer: 9/25
Second page reasoning question:
Jaclyn is incorrect because 50 has the prime factors 2,5, and 5
In order for 2 to get out of the square root symbol, it needs to be a pair.
Correct way of estimating:
50: 2, 5, 5
sqrt{50}
=sqrt{2*5*5}
=5sqrt{2}
sqrt{2} is about 1.4
1.4*5=7
sqrt{50} is about 7
last page:
pi is about 3.1
sqrt{3}:
1<sqrt{3}<2
1.5=sqrt{2.25}
1.7=sqrt{2.89}
1.8=sqrt{3.24}
sqrt{3} is closer to sqrt{2.89} than sqrt{3.24}, therfore sqrt{3} is about 1.7
2sqrt{3}:
sqrt{3} is about 1.7
1.7*2=3.4
2sqrt{3} is about 3.4
sqrt{5}:
2<sqrt{5}<3
2.2=sqrt{4.84}
2.3=sqrt{5.29}
sqrt{5} is closer to sqrt{4.84}, therefore sqrt{5} is about 2.2
least to greatest problem:
pi= 3.1, sqrt{3}=1.7, 2sqrt{3}=3.4, sqrt{5}=2.2
arrange in order least to greatest:
sqrt{3}, sqrt{5}, pi, 2sqrt{3}
