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 / )

7 - $\frac{3}{17}$

RHS =

Answer:_______________

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

11 - $\frac{4}{14}$

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 / )

7 - $\frac{3}{13}$

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

9 - $\frac{4}{14}$

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

12 - $\frac{2}{14}$

RHS =

Answer:_______________

10)

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

6 - $\frac{4}{15}$

RHS =

Answer:_______________

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

7 - $\frac{3}{17}$

RHS = Answer: $\frac{-116}{17}$

SOLUTION 1 :

To verify,

7 - $\frac{3}{17}$ = $\frac{3}{17}$ - 7

LHS = $\frac{7}{1}$ - $\frac{3}{17}$ = ( LCM of 1 and 17 is 17)

LHS	7x17	-	3x1	=	119	-	3	=	116
	1x17		17x1		17		17		17

$\frac{116}{17}$ = LHS

RHS = $\frac{3}{17}$ + $\frac{7}{1}$

RHS	3x1	-	7x17	=	3	-	119	=	-116
	17x1		17x1		17		17		17

- $\frac{116}{17}$ = 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 / )

11 - $\frac{4}{14}$

RHS = Answer: $\frac{-75}{7}$

SOLUTION 1 :

To verify,

11 - $\frac{4}{14}$ = $\frac{4}{14}$ - 11

LHS = $\frac{11}{1}$ - $\frac{4}{14}$ = ( LCM of 1 and 14 is 14)

LHS	11x14	-	4x1	=	154	-	4	=	150
	1x14		14x1		14		14		14

$\frac{75}{7}$ = LHS

RHS = $\frac{4}{14}$ + $\frac{11}{1}$

RHS	4x1	-	11x14	=	4	-	154	=	-150
	14x1		14x1		14		14		14

- $\frac{75}{7}$ = 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 / )

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 / )

7 - $\frac{3}{13}$

RHS = Answer: $\frac{-88}{13}$

SOLUTION 1 :

To verify,

7 - $\frac{3}{13}$ = $\frac{3}{13}$ - 7

LHS = $\frac{7}{1}$ - $\frac{3}{13}$ = ( LCM of 1 and 13 is 13)

LHS	7x13	-	3x1	=	91	-	3	=	88
	1x13		13x1		13		13		13

$\frac{88}{13}$ = LHS

RHS = $\frac{3}{13}$ + $\frac{7}{1}$

RHS	3x1	-	7x13	=	3	-	91	=	-88
	13x1		13x1		13		13		13

- $\frac{88}{13}$ = 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 / )

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

RHS = Answer: $\frac{-133}{15}$

SOLUTION 1 :

To verify,

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

LHS = $\frac{9}{1}$ - $\frac{2}{15}$ = ( LCM of 1 and 15 is 15)

LHS	9x15	-	2x1	=	135	-	2	=	133
	1x15		15x1		15		15		15

$\frac{133}{15}$ = LHS

RHS = $\frac{2}{15}$ + $\frac{9}{1}$

RHS	2x1	-	9x15	=	2	-	135	=	-133
	15x1		15x1		15		15		15

- $\frac{133}{15}$ = 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 - $\frac{4}{14}$

RHS = Answer: $\frac{-61}{7}$

SOLUTION 1 :

To verify,

9 - $\frac{4}{14}$ = $\frac{4}{14}$ - 9

LHS = $\frac{9}{1}$ - $\frac{4}{14}$ = ( LCM of 1 and 14 is 14)

LHS	9x14	-	4x1	=	126	-	4	=	122
	1x14		14x1		14		14		14

$\frac{61}{7}$ = LHS

RHS = $\frac{4}{14}$ + $\frac{9}{1}$

RHS	4x1	-	9x14	=	4	-	126	=	-122
	14x1		14x1		14		14		14

- $\frac{61}{7}$ = 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 / )

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

RHS = Answer: $\frac{-61}{13}$

SOLUTION 1 :

To verify,

5 - $\frac{4}{13}$ = $\frac{4}{13}$ - 5

LHS = $\frac{5}{1}$ - $\frac{4}{13}$ = ( LCM of 1 and 13 is 13)

LHS	5x13	-	4x1	=	65	-	4	=	61
	1x13		13x1		13		13		13

$\frac{61}{13}$ = LHS

RHS = $\frac{4}{13}$ + $\frac{5}{1}$

RHS	4x1	-	5x13	=	4	-	65	=	-61
	13x1		13x1		13		13		13

- $\frac{61}{13}$ = 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 - $\frac{3}{15}$

RHS = Answer: $\frac{-49}{5}$

SOLUTION 1 :

To verify,

10 - $\frac{3}{15}$ = $\frac{3}{15}$ - 10

LHS = $\frac{10}{1}$ - $\frac{3}{15}$ = ( LCM of 1 and 15 is 15)

LHS	10x15	-	3x1	=	150	-	3	=	147
	1x15		15x1		15		15		15

$\frac{49}{5}$ = LHS

RHS = $\frac{3}{15}$ + $\frac{10}{1}$

RHS	3x1	-	10x15	=	3	-	150	=	-147
	15x1		15x1		15		15		15

- $\frac{49}{5}$ = 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 / )

12 - $\frac{2}{14}$

RHS = Answer: $\frac{-83}{7}$

SOLUTION 1 :

To verify,

12 - $\frac{2}{14}$ = $\frac{2}{14}$ - 12

LHS = $\frac{12}{1}$ - $\frac{2}{14}$ = ( LCM of 1 and 14 is 14)

LHS	12x14	-	2x1	=	168	-	2	=	166
	1x14		14x1		14		14		14

$\frac{83}{7}$ = LHS

RHS = $\frac{2}{14}$ + $\frac{12}{1}$

RHS	2x1	-	12x14	=	2	-	168	=	-166
	14x1		14x1		14		14		14

- $\frac{83}{7}$ = 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 / )

6 - $\frac{4}{15}$

RHS = Answer: $\frac{-86}{15}$

SOLUTION 1 :

To verify,

6 - $\frac{4}{15}$ = $\frac{4}{15}$ - 6

LHS = $\frac{6}{1}$ - $\frac{4}{15}$ = ( LCM of 1 and 15 is 15)

LHS	6x15	-	4x1	=	90	-	4	=	86
	1x15		15x1		15		15		15

8 $\frac{6}{1}$ 5 = LHS

RHS = $\frac{4}{15}$ + $\frac{6}{1}$

RHS	4x1	-	6x15	=	4	-	90	=	-86
	15x1		15x1		15		15		15

-8 $\frac{6}{1}$ 5 = RHS

LHS ≠ RHS

Hense, Commutative property is not true for Subtraction.