Question

Please answer and show Work

Answer 1

1.1

1.

• 7/20 = 0.35

2.

• 1.(27) = (127 - 1)/(100 - 1) = 126/99 = 14/11

3.

• 1 7/8 = 1.875

4.

• x² = 81 ⇒ x = √81 = ± 9

5.

• x³ = 343 ⇒ x = ∛343 = 7

6.

• x² = 1/100 ⇒ x = √1/100 = ± 1/10 = ± 0.1

7.

• x² = 200 ⇒ x = √200 = 10√2 ≈ 14.14 ft

1.2

8.

• 121/√121 = √121 = ± 11 ⇒ Integer, Rational number, Real number

9.

• π/2 ⇒ irrational number, Real number

10.

• 'All integers are rational numbers' ⇒ TRUE as each can be shown as p/q

1.3

11.

• √8 + 3 < √9 + 3 = 3 + 3 = 6 ( < ) 8 + √3

12.

• √5 + 11 > √4 + 11 = 2 + 11 = 13 ( > ) 5 + √11 < 5 + √16 = 5 + 4 = 9

13.

• √99 ≈ 9.94, π² ≈ 9.869 , 9.(8) ≈ 9.888
• π² < 9.(8) < √99

14.

• √1/25 = 1/5 = 0.2, 1/4 = 0.25. 0.(2) = 0.222
• √1/25 < 0.(2) < 1/4