Question

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Answer 1

Answer:

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Step-by-step explanation:

1. The additive inverse of 8/9 is - 8/9 and 12 /5 is -12 /5.

2.The multiplicative inverse of 1 is 1 and and 12/5 is 12/5

3.yes because when we multiply the result is 0

4. 4/3 lies on positive 1.3 and 2/5 lies on -0.4

_-2_________-1_____B__0__________1__A______2

point A means 4/3 and B means 2/5

5. For find 5 rational number between 1/2 (3/6) and 1/3 (2/6) we multiply by 6 on both side

3×6 2×6

------------ and ----------

6×6 6×6

= 18/36 and 12 / 36

So the five rational number between 1/2 (18/36) and 1/3 (12/36) is 13/36 14/36 15/36 16/36 17/36.

6. a. negative number

b. Rational number

c. positive number

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Answer 2

Answer:

1) a) 0-8/9= -8/9

b) 0-(-2/5)= 2/5

2) a) 1/1= 1

b) 1/(12/5)= 5/12

3) Yes, as 5/2*2/5= 1

4) Refer to Attachments.

5) a) LCM of 2 and 3= 6

So, 1/2= 3/6, and 1/3= 2/6.

3/6= 30/60, and 1/3= 20/60

5 Rational Numbers Will be:  21/60, 22/60, 23/60, 24/60, 25/60.

b) LCM of 5 and 4= 20

So, 2/5= 8/20 and 3/4= 15/20

5 Rational Numbers will be: 9/20, 10/20, 11/20, 12/20, 13/20.

6) a) A Negative Rational Number.

b) Rational Number

c) A Positive Number, as 0-(-x)= 0+x= x.

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