Sasi Math (Revised for 1024)

Scroll:Real Number System >> Rational Numbers ( Exercise 1.1) >> saq (4362)

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 divide of the following rational numbers. (ples use / )

$\frac{-3}{6}$ and $\frac{-4}{9}$

RHS =

Answer:_______________

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

$\frac{-4}{6}$ and $\frac{-5}{9}$

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

$\frac{-5}{6}$ and $\frac{-7}{9}$

RHS =

Answer:_______________

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

$\frac{-5}{4}$ and $\frac{-5}{9}$

RHS =

Answer:_______________

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

$\frac{-5}{4}$ and $\frac{-4}{9}$

RHS =

Answer:_______________

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

$\frac{-3}{4}$ and $\frac{-5}{9}$

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

10)

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

$\frac{-3}{4}$ and $\frac{-6}{7}$

RHS =

Answer:_______________

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

$\frac{-3}{6}$ and $\frac{-4}{9}$

RHS = Answer: $\frac{9}{8}$

SOLUTION 1 :

To verify,

$\frac{-3}{6}$ ÷ ( $\frac{-4}{9}$ ) = ( $\frac{-4}{9}$ ) ÷ ( $\frac{-3}{6}$ )

LHS	-3	÷	-4	=	-3x-9	=	27	=	$\frac{9}{8}$
	6		9		6x4		24

$\frac{9}{8}$ = LHS

RHS	-4	÷	-3	=		-4x6	=	-24	=	$\frac{8}{9}$
	9		6			9x-3		-27

$\frac{8}{9}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for division.

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

$\frac{-4}{6}$ and $\frac{-5}{9}$

RHS = Answer: $\frac{6}{5}$

SOLUTION 1 :

To verify,

$\frac{-4}{6}$ ÷ ( $\frac{-5}{9}$ ) = ( $\frac{-5}{9}$ ) ÷ ( $\frac{-4}{6}$ )

LHS	-4	÷	-5	=	-4x-9	=	36	=	$\frac{6}{5}$
	6		9		6x5		30

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

RHS	-5	÷	-4	=		-5x6	=	-30	=	$\frac{5}{6}$
	9		6			9x-4		-36

$\frac{5}{6}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for division.

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

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

RHS = Answer: $\frac{9}{8}$

SOLUTION 1 :

To verify,

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

LHS	-2	÷	-4	=	-2x-9	=	18	=	$\frac{9}{8}$
	4		9		4x4		16

$\frac{9}{8}$ = LHS

RHS	-4	÷	-2	=		-4x4	=	-16	=	$\frac{8}{9}$
	9		4			9x-2		-18

$\frac{8}{9}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for division.

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

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

RHS = Answer: $\frac{27}{16}$

SOLUTION 1 :

To verify,

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

LHS	-3	÷	-4	=	-3x-9	=	27	=	$\frac{27}{16}$
	4		9		4x4		16

$\frac{27}{16}$ = LHS

RHS	-4	÷	-3	=		-4x4	=	-16	=	$\frac{16}{27}$
	9		4			9x-3		-27

$\frac{16}{27}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for division.

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

$\frac{-5}{6}$ and $\frac{-7}{9}$

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

SOLUTION 1 :

To verify,

$\frac{-5}{6}$ ÷ ( $\frac{-7}{9}$ ) = ( $\frac{-7}{9}$ ) ÷ ( $\frac{-5}{6}$ )

LHS	-5	÷	-7	=	-5x-9	=	45	=	$\frac{15}{14}$
	6		9		6x7		42

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

RHS	-7	÷	-5	=		-7x6	=	-42	=	$\frac{14}{15}$
	9		6			9x-5		-45

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

LHS ≠ RHS

Hence, Commutative property is not true for division.

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

$\frac{-5}{4}$ and $\frac{-5}{9}$

RHS = Answer: $\frac{9}{4}$

SOLUTION 1 :

To verify,

$\frac{-5}{4}$ ÷ ( $\frac{-5}{9}$ ) = ( $\frac{-5}{9}$ ) ÷ ( $\frac{-5}{4}$ )

LHS	-5	÷	-5	=	-5x-9	=	45	=	$\frac{9}{4}$
	4		9		4x5		20

$\frac{9}{4}$ = LHS

RHS	-5	÷	-5	=		-5x4	=	-20	=	$\frac{4}{9}$
	9		4			9x-5		-45

$\frac{4}{9}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for division.

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

$\frac{-5}{4}$ and $\frac{-4}{9}$

RHS = Answer: $\frac{45}{16}$

SOLUTION 1 :

To verify,

$\frac{-5}{4}$ ÷ ( $\frac{-4}{9}$ ) = ( $\frac{-4}{9}$ ) ÷ ( $\frac{-5}{4}$ )

LHS	-5	÷	-4	=	-5x-9	=	45	=	$\frac{45}{16}$
	4		9		4x4		16

$\frac{45}{16}$ = LHS

RHS	-4	÷	-5	=		-4x4	=	-16	=	$\frac{16}{45}$
	9		4			9x-5		-45

$\frac{16}{45}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for division.

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

$\frac{-3}{4}$ and $\frac{-5}{9}$

RHS = Answer: $\frac{27}{20}$

SOLUTION 1 :

To verify,

$\frac{-3}{4}$ ÷ ( $\frac{-5}{9}$ ) = ( $\frac{-5}{9}$ ) ÷ ( $\frac{-3}{4}$ )

LHS	-3	÷	-5	=	-3x-9	=	27	=	$\frac{27}{20}$
	4		9		4x5		20

$\frac{27}{20}$ = LHS

RHS	-5	÷	-3	=		-5x4	=	-20	=	$\frac{20}{27}$
	9		4			9x-3		-27

$\frac{20}{27}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for division.

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

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

RHS = Answer: $\frac{3}{4}$

SOLUTION 1 :

To verify,

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

LHS	-2	÷	-6	=	-2x-9	=	18	=	$\frac{3}{4}$
	4		9		4x6		24

$\frac{3}{4}$ = LHS

RHS	-6	÷	-2	=		-6x4	=	-24	=	$\frac{4}{3}$
	9		4			9x-2		-18

$\frac{4}{3}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for division.

10)

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

$\frac{-3}{4}$ and $\frac{-6}{7}$

RHS = Answer: $\frac{7}{8}$

SOLUTION 1 :

To verify,

$\frac{-3}{4}$ ÷ ( $\frac{-6}{7}$ ) = ( $\frac{-6}{7}$ ) ÷ ( $\frac{-3}{4}$ )

LHS	-3	÷	-6	=	-3x-7	=	21	=	$\frac{7}{8}$
	4		7		4x6		24

$\frac{7}{8}$ = LHS

RHS	-6	÷	-3	=		-6x4	=	-24	=	$\frac{8}{7}$
	7		4			7x-3		-21

$\frac{8}{7}$ = RHS

LHS ≠ RHS

Hence, Commutative property is not true for division.