Question

please help me worksheet plz fastly​

Answer 1

$\large\boxed{Hello\:Mate}$

1. What should be added to -5/4 to get -1?

  ⇒ Let's take the unknown number as $x$.

  ⇒ $-5/4+x=-1$

  ⇒ $x=-1+5/4$

  ⇒ $x = \frac{-4+5}{4}$

  ⇒ $x = \frac{1}{4}$

∴ $1/4\:should\:get \:added\:to\:-5/4\:to\:get\:-1$

Option (b)

2. What should be subtracted from -5/4 to get -1?

  ⇒ Let's take the unknown number as $x$

  ⇒ $-5/4-x=-1$

  ⇒ $-x=-1+5/4$

  ⇒ $-x=\frac{-4+5}{4}$

  ⇒ $x=-1/4$

∴ $-1/4\:should\:get \:subtracted\:from\:-5/4\:to\;get\: -1$

Option (a)

3. Which of the following is the reciprocal of the reciprocal of a rational number?

$The\: number \:itself\:$

Option (a)

4. If a = 1/2, b = 3/4, verify the following

(i) a × b = b × a

  ⇒ $1/2*3/4=3/4*1/2$

  ⇒ $3/8=3/8$

  L.H.S = R.H.S

  Hence verified

(ii) a + b = b + a

  ⇒ $1/2+3/4=3/4+1/2$

  ⇒ $5/4$

  L.H.S = R.H.S

  Hence Verified

5. Add

(i) 3/7 and -9/7

  ⇒ $3/7+(-9/7)$

  ⇒ $-6/7$

(ii) 5/9 and 7/-9

  ⇒ $5/9+(-7/9)$

  ⇒ $-2/9$

(iii) 2/5, 5/-9 and -6/15

  ⇒ $2/5+(-5/9)+(-6/15)$

  ⇒ $18/5+(-25/45)+(-18/45)$

  ⇒ $-25/45$

  ⇒ $-5/9$

6. Subtract

(i) (-3/4) from (1/2)

  ⇒ $1/2-(-3/4)$

  ⇒ $1/2+3/4$

  ⇒ $2/4+3/4$

  ⇒ $5/4$

(ii) (5/8) from (-3/14)

  ⇒ $-3/14-5/8$

  ⇒ $-12/56-35/56$

  ⇒ $-47/56$

7. Verify the property a × (b × c) = (a × b) × c by taking

(i) a = (7/5), b = (-9/4), c = (1/2)

  ⇒ $7/5*(-9/4*1/2)=(7/5*-9/4)*1/2$

  ⇒ $7/5*-9/8=-63/20*1/2$

  ⇒ $-63/40=-63/40$

  L.H.S = R.H.S

  Hence verified

(ii) a = 1, b = (-13/5), c = (3/5)

  ⇒ $1*(-13/5*3/5)=(1*-13/5)*3/5$

  ⇒ $1*-39/5=-13/5*3/5$

  ⇒ $-39/5=-39/5$

  L.H.S = R.H.S

  Hence Verified

8. Verify the property a × (b + c) = (a × b) +(a × c) by taking

(i) a = (1/3), b = 0, c = (-7/6)

  ⇒ $1/3*(0+-7/6)=(1/3*0)+(1/3*-7/6)$

  ⇒ $1/3*-7/6=0+-7/18$

  ⇒ $-7/18=-7/18$

  L.H.S = R.H.S

  Hence Verified

(ii) a = -2, b = (9/5), c = (-2/15)

  ⇒ $-2*(9/5+-2/15)=(-2*9/5)+(-2*-2/15)$

  ⇒ $-2*25/15=-18/5+4/15$

  ⇒ $-50/15=-50/15$

  ⇒ $-10/3=-10/3$

  L.H.S = R.H.S

  Hence Verified

9. Find the rational numbers between

(i) 3 and 4

  3 = 12/4 and 4 = 16/4

  So, the rational numbers between 3 and 4 are 13/4, 14/4, 15/4.

(ii) -7 and -6

  ⇒ -7 = -28/4 and -6 = -24/4

  So, the rational numbers between -7 and -6 are -27/4, -26/4, -25/4.

10. Find three rational numbers between

(i) -5 and 8

  Any three rational number between -5 and 8 are 1, 2, 3.

(ii) (-1/3) and (1/2)

  -1/3 = -2/6 and 1/2 = 3/6

  So, any three rational numbers between -1/3 and 1/2 are -1/6, 1/6, 2/6.

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This took me 3 hours to solve and type these answers please understand my effort to solve these answers.