8) Subtract : a) (-3/4) from (1/2) 9) What should be added to (-7/20)

1.	8) Subtract : a) (-3/4) from (1/2) 9) What should be added to (-7/20) to get (-2/5)? 10) The sum of two rational numbers is (-3/7). If one of the number is (-5/8) find the other. 11) The sum of two rational numbers is (-5/8). If one of the number is (-6/11), find the other number. 12) Find the product of : 1) 5/9, -2/5 2) -5, -3/15 13) Verify the property a x b = b x a by taking : 1) a = (-12/7), b = (-21/5)2) a = 0 , b = (-13/3) 14) Verify the property a x ( b x c ) = (a x b) x c by taking 1) a = (7/5), b = (-9/4), c = (1/2) 2) a = 1, b = (-13/5), c = (3/5) 15) Verify the property ax(b+c)=(axb)+(axc) by taking: 1) a = (1/3), b = 0, c = (-7/6) 2) a = -2, b = (9/5), c = (-2/15) 16) The product of two rational numbers is 6. If one of them is 8, find the other number.[Type text]17) Find the rational number between: 1) 3 and 4 2) -7 and -6 18) Find three rational numbers between: 1) -5 and 8 2) ( -1/3 ) and (1/2)
Answer» Answer: Subtract 2/5 from 4/7 Solution: The additive INVERSE of 2/5 is -2/5 THEREFORE, 4/7 - 2/5 = 4/7 + (-2/5) ⇒ 4/7 - 2/5 = 4 × 5/7 × 5 + (-2) × 7/5 × 7 = 20/35 + -14/35 = 20 + (-14)/35 = 6/35 Therefore, 4/7 - 2/5 = 6/35 2. Subtract -6/7 from -5/8. Solution: The additive inverse of -6/7 is 6/7 Therefore, -5/8 - (-6/7) = -5/8 + 6/7, [Since, -(-6/7) = 6/7)] ⇒ -5/8 - (-6/7) = -5 × 7/8 × 7 + 6 × 8/7 × 8 ⇒ -5/8 - (-6/7) = -35/56 + 48/56 ⇒ -5/8 - (-6/7) = -35 + 48/56 ⇒ -5/8 - (-6/7) = 13/56 Therefore, -5/8 - (-6/7) = 13/56 3. Subtract -4/9 from 2/5 Solution: The additive inverse of -4/9 is 4/9. Therefore, 2/5 - (-4/9) = 2/5 + 4/9, [Since, -(-4/9) = 4/9)] ⇒ 2/5 - (-4/9) = 2 × 9/5 × 9 + 4 × 5/9 × 5 ⇒ 2/5 - (-4/9) = 18/45 + 20/45 ⇒ 2/5 - (-4/9) = 18 + 20/45 Therefore, 2/5 - (-4/9) = 38/45 4. The sum of two RATIONAL numbers is -3/5. If one of the NUMBER is -9/20, find the other. Solution: Sum other number = -3/5, One number = -9/20 Therefore, the other number = Sum of the two rational numbers - One of the given rational number. = -3/5 - (-9/20) = -3/5 + 9/20, [Since - (-9/20) = 9/20] = (-3) × 4 + 9 × 1/20 = -12 + 9/20 = -3/20 Therefore, the required rational number is -3/20. 5. Which rational number should be added to -7/11 so as to get 4/7? Solution: Su of the given number and the required rational number = 4/7. Given rational number = -7/11. Therefore, the required number = Sum - Given number = 4/7 + 7/11 = 4 × 11/7 ×11 + 7 × 7/11 × 7 = 44/77 + 49/77 = 44 + 49/77 = 93/77 Thus, the rational number 93/77 should be added to -7/11 so as to get 4/7. 6. What should be SUBTRACTED from -4/5 so as to get 6/15? Solution: Difference of the given rational number and the required rational number = 6/15. Given rational number = -4/5. Therefore the required rational number = -4/5 - 6/15 = -4/5 + -6/15 = (-4) × 3/5 × 3 + -6/15 = -12/15 + -6/15 = (-12) + (-6)/15 = -18/15 = -6/5 Thus, the rational number -6/5 subtracted from -4/5 so as to get 6/15. Step-by-step explanation: I I hope this is the answer please mark me brainly and follow me

8) Subtract : a) (-3/4) from (1/2) 9) What should be added to (-7/20) to get (-2/5)? 10) The sum of two rational numbers is (-3/7). If one of the number is (-5/8) find the other. 11) The sum of two rational numbers is (-5/8). If one of the number is (-6/11), find the other number. 12) Find the product of : 1) 5/9, -2/5 2) -5, -3/15 13) Verify the property a x b = b x a by taking : 1) a = (-12/7), b = (-21/5)2) a = 0 , b = (-13/3) 14) Verify the property a x ( b x c ) = (a x b) x c by taking 1) a = (7/5), b = (-9/4), c = (1/2) 2) a = 1, b = (-13/5), c = (3/5) 15) Verify the property ax(b+c)=(axb)+(axc) by taking: 1) a = (1/3), b = 0, c = (-7/6) 2) a = -2, b = (9/5), c = (-2/15) 16) The product of two rational numbers is 6. If one of them is 8, find the other number.[Type text]17) Find the rational number between: 1) 3 and 4 2) -7 and -6 18) Find three rational numbers between: 1) -5 and 8 2) ( -1/3 ) and (1/2)

Answer»

Answer:

Subtract 2/5 from 4/7

Solution:

The additive INVERSE of 2/5 is -2/5

THEREFORE, 4/7 - 2/5 = 4/7 + (-2/5)

⇒ 4/7 - 2/5 = 4 × 5/7 × 5 + (-2) × 7/5 × 7

= 20/35 + -14/35

= 20 + (-14)/35

= 6/35

Therefore, 4/7 - 2/5 = 6/35

2. Subtract -6/7 from -5/8.

Solution:

The additive inverse of -6/7 is 6/7

Therefore, -5/8 - (-6/7) = -5/8 + 6/7, [Since, -(-6/7) = 6/7)]

⇒ -5/8 - (-6/7) = -5 × 7/8 × 7 + 6 × 8/7 × 8

⇒ -5/8 - (-6/7) = -35/56 + 48/56

⇒ -5/8 - (-6/7) = -35 + 48/56

⇒ -5/8 - (-6/7) = 13/56

Therefore, -5/8 - (-6/7) = 13/56

3. Subtract -4/9 from 2/5

Solution:

The additive inverse of -4/9 is 4/9.

Therefore, 2/5 - (-4/9) = 2/5 + 4/9, [Since, -(-4/9) = 4/9)]

⇒ 2/5 - (-4/9) = 2 × 9/5 × 9 + 4 × 5/9 × 5

⇒ 2/5 - (-4/9) = 18/45 + 20/45

⇒ 2/5 - (-4/9) = 18 + 20/45

Therefore, 2/5 - (-4/9) = 38/45

4. The sum of two RATIONAL numbers is -3/5. If one of the NUMBER is -9/20, find the other.

Solution:

Sum other number = -3/5, One number = -9/20

Therefore, the other number = Sum of the two rational numbers - One of the given rational number.

= -3/5 - (-9/20)

= -3/5 + 9/20, [Since - (-9/20) = 9/20]

= (-3) × 4 + 9 × 1/20

= -12 + 9/20

= -3/20

Therefore, the required rational number is -3/20.

5. Which rational number should be added to -7/11 so as to get 4/7?

Solution:

Su of the given number and the required rational number = 4/7.

Given rational number = -7/11.

Therefore, the required number = Sum - Given number

= 4/7 + 7/11

= 4 × 11/7 ×11 + 7 × 7/11 × 7

= 44/77 + 49/77

= 44 + 49/77

= 93/77

Thus, the rational number 93/77 should be added to -7/11 so as to get 4/7.

6. What should be SUBTRACTED from -4/5 so as to get 6/15?

Solution:

Difference of the given rational number and the required rational number = 6/15.

Given rational number = -4/5.

Therefore the required rational number = -4/5 - 6/15

= -4/5 + -6/15

= (-4) × 3/5 × 3 + -6/15

= -12/15 + -6/15

= (-12) + (-6)/15

= -18/15

= -6/5

Thus, the rational number -6/5 subtracted from -4/5 so as to get 6/15.

Step-by-step explanation:

I I hope this is the answer please mark me brainly and follow me

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