Sasi Math (Revised for 1024)

Scroll:Real Number System >> Rational Numbers ( Exercise 1.1) >> saq (4324)

Written Instructions:

For each Multiple Choice Question (MCQ), four options are given. One of them is the correct answer. Make your choice (1,2,3 or 4). Write your answers in the brackets provided..

For each Short Answer Question(SAQ) and Long Answer Question(LAQ), write your answers in the blanks provided.

Leave your answers in the simplest form or correct to two decimal places.

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

10 - $\frac{4}{18}$

RHS =

Answer:_______________

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

8 - $\frac{2}{17}$

RHS =

Answer:_______________

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

6 - $\frac{4}{19}$

RHS =

Answer:_______________

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

5 - $\frac{2}{15}$

RHS =

Answer:_______________

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

11 - $\frac{2}{15}$

RHS =

Answer:_______________

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

12 - $\frac{2}{15}$

RHS =

Answer:_______________

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

5 - $\frac{4}{18}$

RHS =

Answer:_______________

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

10 - $\frac{4}{13}$

RHS =

Answer:_______________

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

10 - $\frac{3}{19}$

RHS =

Answer:_______________

10)

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

12 - $\frac{4}{19}$

RHS =

Answer:_______________

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

10 - $\frac{4}{18}$

RHS = Answer: $\frac{-88}{9}$

SOLUTION 1 :

To verify,

10 - $\frac{4}{18}$ = $\frac{4}{18}$ - 10

LHS = $\frac{10}{1}$ - $\frac{4}{18}$ = ( LCM of 1 and 18 is 18)

LHS	10x18	-	4x1	=	180	-	4	=	176
	1x18		18x1		18		18		18

$\frac{88}{9}$ = LHS

RHS = $\frac{4}{18}$ + $\frac{10}{1}$

RHS	4x1	-	10x18	=	4	-	180	=	-176
	18x1		18x1		18		18		18

- $\frac{88}{9}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

8 - $\frac{2}{17}$

RHS = Answer: $\frac{-134}{17}$

SOLUTION 1 :

To verify,

8 - $\frac{2}{17}$ = $\frac{2}{17}$ - 8

LHS = $\frac{8}{1}$ - $\frac{2}{17}$ = ( LCM of 1 and 17 is 17)

LHS	8x17	-	2x1	=	136	-	2	=	134
	1x17		17x1		17		17		17

$\frac{134}{17}$ = LHS

RHS = $\frac{2}{17}$ + $\frac{8}{1}$

RHS	2x1	-	8x17	=	2	-	136	=	-134
	17x1		17x1		17		17		17

- $\frac{134}{17}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

6 - $\frac{4}{19}$

RHS = Answer: $\frac{-110}{19}$

SOLUTION 1 :

To verify,

6 - $\frac{4}{19}$ = $\frac{4}{19}$ - 6

LHS = $\frac{6}{1}$ - $\frac{4}{19}$ = ( LCM of 1 and 19 is 19)

LHS	6x19	-	4x1	=	114	-	4	=	110
	1x19		19x1		19		19		19

$\frac{110}{19}$ = LHS

RHS = $\frac{4}{19}$ + $\frac{6}{1}$

RHS	4x1	-	6x19	=	4	-	114	=	-110
	19x1		19x1		19		19		19

- $\frac{110}{19}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

5 - $\frac{2}{15}$

RHS = Answer: $\frac{-73}{15}$

SOLUTION 1 :

To verify,

5 - $\frac{2}{15}$ = $\frac{2}{15}$ - 5

LHS = $\frac{5}{1}$ - $\frac{2}{15}$ = ( LCM of 1 and 15 is 15)

LHS	5x15	-	2x1	=	75	-	2	=	73
	1x15		15x1		15		15		15

$\frac{73}{15}$ = LHS

RHS = $\frac{2}{15}$ + $\frac{5}{1}$

RHS	2x1	-	5x15	=	2	-	75	=	-73
	15x1		15x1		15		15		15

- $\frac{73}{15}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

11 - $\frac{2}{15}$

RHS = Answer: $\frac{-163}{15}$

SOLUTION 1 :

To verify,

11 - $\frac{2}{15}$ = $\frac{2}{15}$ - 11

LHS = $\frac{11}{1}$ - $\frac{2}{15}$ = ( LCM of 1 and 15 is 15)

LHS	11x15	-	2x1	=	165	-	2	=	163
	1x15		15x1		15		15		15

$\frac{163}{15}$ = LHS

RHS = $\frac{2}{15}$ + $\frac{11}{1}$

RHS	2x1	-	11x15	=	2	-	165	=	-163
	15x1		15x1		15		15		15

- $\frac{163}{15}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

12 - $\frac{2}{15}$

RHS = Answer: $\frac{-178}{15}$

SOLUTION 1 :

To verify,

12 - $\frac{2}{15}$ = $\frac{2}{15}$ - 12

LHS = $\frac{12}{1}$ - $\frac{2}{15}$ = ( LCM of 1 and 15 is 15)

LHS	12x15	-	2x1	=	180	-	2	=	178
	1x15		15x1		15		15		15

$\frac{178}{15}$ = LHS

RHS = $\frac{2}{15}$ + $\frac{12}{1}$

RHS	2x1	-	12x15	=	2	-	180	=	-178
	15x1		15x1		15		15		15

- $\frac{178}{15}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

5 - $\frac{4}{18}$

RHS = Answer: $\frac{-43}{9}$

SOLUTION 1 :

To verify,

5 - $\frac{4}{18}$ = $\frac{4}{18}$ - 5

LHS = $\frac{5}{1}$ - $\frac{4}{18}$ = ( LCM of 1 and 18 is 18)

LHS	5x18	-	4x1	=	90	-	4	=	86
	1x18		18x1		18		18		18

$\frac{43}{9}$ = LHS

RHS = $\frac{4}{18}$ + $\frac{5}{1}$

RHS	4x1	-	5x18	=	4	-	90	=	-86
	18x1		18x1		18		18		18

- $\frac{43}{9}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

10 - $\frac{4}{13}$

RHS = Answer: $\frac{-126}{13}$

SOLUTION 1 :

To verify,

10 - $\frac{4}{13}$ = $\frac{4}{13}$ - 10

LHS = $\frac{10}{1}$ - $\frac{4}{13}$ = ( LCM of 1 and 13 is 13)

LHS	10x13	-	4x1	=	130	-	4	=	126
	1x13		13x1		13		13		13

$\frac{126}{13}$ = LHS

RHS = $\frac{4}{13}$ + $\frac{10}{1}$

RHS	4x1	-	10x13	=	4	-	130	=	-126
	13x1		13x1		13		13		13

- $\frac{126}{13}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

10 - $\frac{3}{19}$

RHS = Answer: $\frac{-187}{19}$

SOLUTION 1 :

To verify,

10 - $\frac{3}{19}$ = $\frac{3}{19}$ - 10

LHS = $\frac{10}{1}$ - $\frac{3}{19}$ = ( LCM of 1 and 19 is 19)

LHS	10x19	-	3x1	=	190	-	3	=	187
	1x19		19x1		19		19		19

$\frac{187}{19}$ = LHS

RHS = $\frac{3}{19}$ + $\frac{10}{1}$

RHS	3x1	-	10x19	=	3	-	190	=	-187
	19x1		19x1		19		19		19

- $\frac{187}{19}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.

10)

Verify whether commutative property is satisfied for Subtraction of the following rational numbers. (ples use / )

12 - $\frac{4}{19}$

RHS = Answer: -22 $\frac{4}{19}$

SOLUTION 1 :

To verify,

12 - $\frac{4}{19}$ = $\frac{4}{19}$ - 12

LHS = $\frac{12}{1}$ - $\frac{4}{19}$ = ( LCM of 1 and 19 is 19)

LHS	12x19	-	4x1	=	228	-	4	=	224
	1x19		19x1		19		19		19

22 $\frac{4}{19}$ = LHS

RHS = $\frac{4}{19}$ + $\frac{12}{1}$

RHS	4x1	-	12x19	=	4	-	228	=	-224
	19x1		19x1		19		19		19

-22 $\frac{4}{19}$ = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.