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 / )

5 - $\frac{2}{18}$

RHS =

Answer:_______________

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

9 - $\frac{4}{17}$

RHS =

Answer:_______________

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

6 - $\frac{4}{17}$

RHS =

Answer:_______________

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

12 - $\frac{3}{15}$

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

12 - $\frac{3}{14}$

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

9 - $\frac{3}{15}$

RHS =

Answer:_______________

10)

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 / )

5 - $\frac{2}{18}$

RHS = Answer: $\frac{-44}{9}$

SOLUTION 1 :

To verify,

5 - $\frac{2}{18}$ = $\frac{2}{18}$ - 5

LHS = $\frac{5}{1}$ - $\frac{2}{18}$ = ( LCM of 1 and 18 is 18)

LHS	5x18	-	2x1	=	90	-	2	=	88
	1x18		18x1		18		18		18

$\frac{44}{9}$ = LHS

RHS = $\frac{2}{18}$ + $\frac{5}{1}$

RHS	2x1	-	5x18	=	2	-	90	=	-88
	18x1		18x1		18		18		18

- $\frac{44}{9}$ = 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 / )

9 - $\frac{4}{17}$

RHS = Answer: $\frac{-149}{17}$

SOLUTION 1 :

To verify,

9 - $\frac{4}{17}$ = $\frac{4}{17}$ - 9

LHS = $\frac{9}{1}$ - $\frac{4}{17}$ = ( LCM of 1 and 17 is 17)

LHS	9x17	-	4x1	=	153	-	4	=	149
	1x17		17x1		17		17		17

14 $\frac{9}{1}$ 7 = LHS

RHS = $\frac{4}{17}$ + $\frac{9}{1}$

RHS	4x1	-	9x17	=	4	-	153	=	-149
	17x1		17x1		17		17		17

-14 $\frac{9}{1}$ 7 = 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 - $\frac{4}{17}$

RHS = Answer: $\frac{-98}{17}$

SOLUTION 1 :

To verify,

6 - $\frac{4}{17}$ = $\frac{4}{17}$ - 6

LHS = $\frac{6}{1}$ - $\frac{4}{17}$ = ( LCM of 1 and 17 is 17)

LHS	6x17	-	4x1	=	102	-	4	=	98
	1x17		17x1		17		17		17

$\frac{98}{17}$ = LHS

RHS = $\frac{4}{17}$ + $\frac{6}{1}$

RHS	4x1	-	6x17	=	4	-	102	=	-98
	17x1		17x1		17		17		17

- $\frac{98}{17}$ = 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 / )

12 - $\frac{3}{15}$

RHS = Answer: $\frac{-59}{5}$

SOLUTION 1 :

To verify,

12 - $\frac{3}{15}$ = $\frac{3}{15}$ - 12

LHS = $\frac{12}{1}$ - $\frac{3}{15}$ = ( LCM of 1 and 15 is 15)

LHS	12x15	-	3x1	=	180	-	3	=	177
	1x15		15x1		15		15		15

$\frac{59}{5}$ = LHS

RHS = $\frac{3}{15}$ + $\frac{12}{1}$

RHS	3x1	-	12x15	=	3	-	180	=	-177
	15x1		15x1		15		15		15

- $\frac{59}{5}$ = 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 / )

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

RHS = Answer: $\frac{-103}{15}$

SOLUTION 1 :

To verify,

7 - $\frac{2}{15}$ = $\frac{2}{15}$ - 7

LHS = $\frac{7}{1}$ - $\frac{2}{15}$ = ( LCM of 1 and 15 is 15)

LHS	7x15	-	2x1	=	105	-	2	=	103
	1x15		15x1		15		15		15

$\frac{103}{15}$ = LHS

RHS = $\frac{2}{15}$ + $\frac{7}{1}$

RHS	2x1	-	7x15	=	2	-	105	=	-103
	15x1		15x1		15		15		15

- $\frac{103}{15}$ = 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 - $\frac{3}{14}$

RHS = Answer: $\frac{-165}{14}$

SOLUTION 1 :

To verify,

12 - $\frac{3}{14}$ = $\frac{3}{14}$ - 12

LHS = $\frac{12}{1}$ - $\frac{3}{14}$ = ( LCM of 1 and 14 is 14)

LHS	12x14	-	3x1	=	168	-	3	=	165
	1x14		14x1		14		14		14

$\frac{165}{14}$ = LHS

RHS = $\frac{3}{14}$ + $\frac{12}{1}$

RHS	3x1	-	12x14	=	3	-	168	=	-165
	14x1		14x1		14		14		14

- $\frac{165}{14}$ = 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 - $\frac{4}{18}$

RHS = Answer: $\frac{-52}{9}$

SOLUTION 1 :

To verify,

6 - $\frac{4}{18}$ = $\frac{4}{18}$ - 6

LHS = $\frac{6}{1}$ - $\frac{4}{18}$ = ( LCM of 1 and 18 is 18)

LHS	6x18	-	4x1	=	108	-	4	=	104
	1x18		18x1		18		18		18

$\frac{52}{9}$ = LHS

RHS = $\frac{4}{18}$ + $\frac{6}{1}$

RHS	4x1	-	6x18	=	4	-	108	=	-104
	18x1		18x1		18		18		18

- $\frac{52}{9}$ = 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 - $\frac{2}{15}$

RHS = Answer: $\frac{-148}{15}$

SOLUTION 1 :

To verify,

10 - $\frac{2}{15}$ = $\frac{2}{15}$ - 10

LHS = $\frac{10}{1}$ - $\frac{2}{15}$ = ( LCM of 1 and 15 is 15)

LHS	10x15	-	2x1	=	150	-	2	=	148
	1x15		15x1		15		15		15

$\frac{148}{15}$ = LHS

RHS = $\frac{2}{15}$ + $\frac{10}{1}$

RHS	2x1	-	10x15	=	2	-	150	=	-148
	15x1		15x1		15		15		15

- $\frac{148}{15}$ = 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 / )

9 - $\frac{3}{15}$

RHS = Answer: $\frac{-44}{5}$

SOLUTION 1 :

To verify,

9 - $\frac{3}{15}$ = $\frac{3}{15}$ - 9

LHS = $\frac{9}{1}$ - $\frac{3}{15}$ = ( LCM of 1 and 15 is 15)

LHS	9x15	-	3x1	=	135	-	3	=	132
	1x15		15x1		15		15		15

$\frac{44}{5}$ = LHS

RHS = $\frac{3}{15}$ + $\frac{9}{1}$

RHS	3x1	-	9x15	=	3	-	135	=	-132
	15x1		15x1		15		15		15

- $\frac{44}{5}$ = 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 / )

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.