Sasi Math (Revised for 1024)

Scroll:Real Number System >> Rational Numbers ( Exercise 1.1) >> saq (4360)

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 / )

$\frac{-3}{2}$ and $\frac{-4}{7}$

RHS =

Answer:_______________

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

$\frac{-2}{6}$ and $\frac{-4}{9}$

RHS =

Answer:_______________

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

$\frac{-2}{4}$ and $\frac{-3}{7}$

RHS =

Answer:_______________

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

$\frac{-3}{2}$ and $\frac{-3}{7}$

RHS =

Answer:_______________

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

$\frac{-3}{2}$ and $\frac{-3}{9}$

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

$\frac{-3}{4}$ and $\frac{-4}{9}$

RHS =

Answer:_______________

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

$\frac{-3}{6}$ and $\frac{-3}{9}$

RHS =

Answer:_______________

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

$\frac{-2}{4}$ and $\frac{-2}{9}$

RHS =

Answer:_______________

10)

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

$\frac{-2}{6}$ and $\frac{-3}{7}$

RHS =

Answer:_______________

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

$\frac{-3}{2}$ and $\frac{-4}{7}$

RHS = Answer: $\frac{13}{14}$

SOLUTION 1 :

To verify,

$\frac{-3}{2}$ - ( $\frac{-4}{7}$ ) = ( $\frac{-4}{7}$ ) - ( $\frac{-3}{2}$ )

LHS = $\frac{-3}{2}$ + $\frac{(4}{7)}$ = ( LCM of 2 and 7 is 14)

LHS	-3x7		+	4x2	=	-21+8	=	-13	=	- $\frac{13}{14}$
	2x7			7x2		14		14

- $\frac{13}{14}$ = LHS

RHS = $\frac{-4}{7}$ - ( $\frac{-3}{2}$ ) ( LCM of 2 and 7 is 14)

RHS	-4x2	-	3x7	+	-8+21	-	13	=	$\frac{13}{14}$
	7x2		2x7		14		14

$\frac{13}{14}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.

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

$\frac{-2}{6}$ and $\frac{-4}{9}$

RHS = Answer: $\frac{1}{-9}$

SOLUTION 1 :

To verify,

$\frac{-2}{6}$ - ( $\frac{-4}{9}$ ) = ( $\frac{-4}{9}$ ) - ( $\frac{-2}{6}$ )

LHS = $\frac{-2}{6}$ + $\frac{(4}{9)}$ = ( LCM of 6 and 9 is 54)

LHS	-2x9		+	4x6	=	-18+24	=	--6	=	- $\frac{1}{-9}$
	6x9			9x6		54		54

- $\frac{1}{-9}$ = LHS

RHS = $\frac{-4}{9}$ - ( $\frac{-2}{6}$ ) ( LCM of 6 and 9 is 54)

RHS	-4x6	-	2x9	+	-24+18	-	-6	=	$\frac{1}{-9}$
	9x6		6x9		54		54

$\frac{1}{-9}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.

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

$\frac{-2}{4}$ and $\frac{-3}{7}$

RHS = Answer: $\frac{1}{14}$

SOLUTION 1 :

To verify,

$\frac{-2}{4}$ - ( $\frac{-3}{7}$ ) = ( $\frac{-3}{7}$ ) - ( $\frac{-2}{4}$ )

LHS = $\frac{-2}{4}$ + $\frac{(3}{7)}$ = ( LCM of 4 and 7 is 28)

LHS	-2x7		+	3x4	=	-14+12	=	-2	=	- $\frac{1}{14}$
	4x7			7x4		28		28

- $\frac{1}{14}$ = LHS

RHS = $\frac{-3}{7}$ - ( $\frac{-2}{4}$ ) ( LCM of 4 and 7 is 28)

RHS	-3x4	-	2x7	+	-12+14	-	2	=	$\frac{1}{14}$
	7x4		4x7		28		28

$\frac{1}{14}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.

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

$\frac{-3}{2}$ and $\frac{-3}{7}$

RHS = Answer: $\frac{15}{14}$

SOLUTION 1 :

To verify,

$\frac{-3}{2}$ - ( $\frac{-3}{7}$ ) = ( $\frac{-3}{7}$ ) - ( $\frac{-3}{2}$ )

LHS = $\frac{-3}{2}$ + $\frac{(3}{7)}$ = ( LCM of 2 and 7 is 14)

LHS	-3x7		+	3x2	=	-21+6	=	-15	=	- $\frac{15}{14}$
	2x7			7x2		14		14

- $\frac{15}{14}$ = LHS

RHS = $\frac{-3}{7}$ - ( $\frac{-3}{2}$ ) ( LCM of 2 and 7 is 14)

RHS	-3x2	-	3x7	+	-6+21	-	15	=	$\frac{15}{14}$
	7x2		2x7		14		14

$\frac{15}{14}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.

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

$\frac{-3}{2}$ and $\frac{-3}{9}$

RHS = Answer: $\frac{7}{6}$

SOLUTION 1 :

To verify,

$\frac{-3}{2}$ - ( $\frac{-3}{9}$ ) = ( $\frac{-3}{9}$ ) - ( $\frac{-3}{2}$ )

LHS = $\frac{-3}{2}$ + $\frac{(3}{9)}$ = ( LCM of 2 and 9 is 18)

LHS	-3x9		+	3x2	=	-27+6	=	-21	=	- $\frac{7}{6}$
	2x9			9x2		18		18

- $\frac{7}{6}$ = LHS

RHS = $\frac{-3}{9}$ - ( $\frac{-3}{2}$ ) ( LCM of 2 and 9 is 18)

RHS	-3x2	-	3x9	+	-6+27	-	21	=	$\frac{7}{6}$
	9x2		2x9		18		18

$\frac{7}{6}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.

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

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

RHS = Answer: $\frac{7}{9}$

SOLUTION 1 :

To verify,

$\frac{-2}{2}$ - ( $\frac{-2}{9}$ ) = ( $\frac{-2}{9}$ ) - ( $\frac{-2}{2}$ )

LHS = $\frac{-2}{2}$ + $\frac{(2}{9)}$ = ( LCM of 2 and 9 is 18)

LHS	-2x9		+	2x2	=	-18+4	=	-14	=	- $\frac{7}{9}$
	2x9			9x2		18		18

- $\frac{7}{9}$ = LHS

RHS = $\frac{-2}{9}$ - ( $\frac{-2}{2}$ ) ( LCM of 2 and 9 is 18)

RHS	-2x2	-	2x9	+	-4+18	-	14	=	$\frac{7}{9}$
	9x2		2x9		18		18

$\frac{7}{9}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.

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

$\frac{-3}{4}$ and $\frac{-4}{9}$

RHS = Answer: $\frac{11}{36}$

SOLUTION 1 :

To verify,

$\frac{-3}{4}$ - ( $\frac{-4}{9}$ ) = ( $\frac{-4}{9}$ ) - ( $\frac{-3}{4}$ )

LHS = $\frac{-3}{4}$ + $\frac{(4}{9)}$ = ( LCM of 4 and 9 is 36)

LHS	-3x9		+	4x4	=	-27+16	=	-11	=	- $\frac{11}{36}$
	4x9			9x4		36		36

- $\frac{11}{36}$ = LHS

RHS = $\frac{-4}{9}$ - ( $\frac{-3}{4}$ ) ( LCM of 4 and 9 is 36)

RHS	-4x4	-	3x9	+	-16+27	-	11	=	$\frac{11}{36}$
	9x4		4x9		36		36

$\frac{11}{36}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.

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

$\frac{-3}{6}$ and $\frac{-3}{9}$

RHS = Answer: $\frac{1}{6}$

SOLUTION 1 :

To verify,

$\frac{-3}{6}$ - ( $\frac{-3}{9}$ ) = ( $\frac{-3}{9}$ ) - ( $\frac{-3}{6}$ )

LHS = $\frac{-3}{6}$ + $\frac{(3}{9)}$ = ( LCM of 6 and 9 is 54)

LHS	-3x9		+	3x6	=	-27+18	=	-9	=	- $\frac{1}{6}$
	6x9			9x6		54		54

- $\frac{1}{6}$ = LHS

RHS = $\frac{-3}{9}$ - ( $\frac{-3}{6}$ ) ( LCM of 6 and 9 is 54)

RHS	-3x6	-	3x9	+	-18+27	-	9	=	$\frac{1}{6}$
	9x6		6x9		54		54

$\frac{1}{6}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.

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

$\frac{-2}{4}$ and $\frac{-2}{9}$

RHS = Answer: $\frac{5}{18}$

SOLUTION 1 :

To verify,

$\frac{-2}{4}$ - ( $\frac{-2}{9}$ ) = ( $\frac{-2}{9}$ ) - ( $\frac{-2}{4}$ )

LHS = $\frac{-2}{4}$ + $\frac{(2}{9)}$ = ( LCM of 4 and 9 is 36)

LHS	-2x9		+	2x4	=	-18+8	=	-10	=	- $\frac{5}{18}$
	4x9			9x4		36		36

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

RHS = $\frac{-2}{9}$ - ( $\frac{-2}{4}$ ) ( LCM of 4 and 9 is 36)

RHS	-2x4	-	2x9	+	-8+18	-	10	=	$\frac{5}{18}$
	9x4		4x9		36		36

$\frac{5}{18}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.

10)

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

$\frac{-2}{6}$ and $\frac{-3}{7}$

RHS = Answer: $\frac{-2}{21}$

SOLUTION 1 :

To verify,

$\frac{-2}{6}$ - ( $\frac{-3}{7}$ ) = ( $\frac{-3}{7}$ ) - ( $\frac{-2}{6}$ )

LHS = $\frac{-2}{6}$ + $\frac{(3}{7)}$ = ( LCM of 6 and 7 is 42)

LHS	-2x7		+	3x6	=	-14+18	=	--4	=	- $\frac{-2}{21}$
	6x7			7x6		42		42

- $\frac{-2}{21}$ = LHS

RHS = $\frac{-3}{7}$ - ( $\frac{-2}{6}$ ) ( LCM of 6 and 7 is 42)

RHS	-3x6	-	2x7	+	-18+14	-	-4	=	$\frac{-2}{21}$
	7x6		6x7		42		42

$\frac{-2}{21}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for subtraction.