Sasi Math (Revised for 1024)

Scroll:Real Number System >> Rational Numbers ( Exercise 1.1) >> saq (4327)

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

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

RHS =

Answer:_______________

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

$\frac{-3}{8}$ and $\frac{-3}{7}$

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

$\frac{-3}{8}$ and $\frac{-4}{7}$

RHS =

Answer:_______________

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

$\frac{-3}{8}$ and $\frac{-4}{9}$

RHS =

Answer:_______________

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

$\frac{-3}{6}$ and $\frac{-3}{5}$

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

10)

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

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

RHS =

Answer:_______________

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

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

RHS = Answer: $\frac{-17}{18}$

SOLUTION 1 :

To verify,

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

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

LHS	-2x9	-	-4x4	-18-16	=	-34	=	$\frac{-17}{18}$
	4x9		9x4	36		36

$\frac{-17}{18}$ = LHS

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

RHS	-4x4	-	2x9	-16-18	-	-34	=	$\frac{-17}{18}$
	9x4		4x9	36		36

$\frac{-17}{18}$ = RHS

LHS = RHS

Hence, Commutative property is true for addition.

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

$\frac{-3}{8}$ and $\frac{-3}{7}$

RHS = Answer: $\frac{-45}{56}$

SOLUTION 1 :

To verify,

$\frac{-3}{8}$ + ( $\frac{-3}{7}$ ) = ( $\frac{-3}{7}$ ) + ( $\frac{-3}{8}$ )

LHS = $\frac{-3}{8}$ + ( $\frac{-3}{7}$ ) = ( LCM of 8 and 7 is 56)

LHS	-3x7	-	-3x8	-21-24	=	-45	=	$\frac{-45}{56}$
	8x7		7x8	56		56

$\frac{-45}{56}$ = LHS

RHS = $\frac{-3}{7}$ + ( $\frac{-3}{8}$ ) ( LCM of 8 and 7 is 56)

RHS	-3x8	-	3x7	-24-21	-	-45	=	$\frac{-45}{56}$
	7x8		8x7	56		56

$\frac{-45}{56}$ = RHS

LHS = RHS

Hence, Commutative property is true for addition.

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

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

RHS = Answer: $\frac{-31}{20}$

SOLUTION 1 :

To verify,

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

LHS = $\frac{-3}{4}$ + ( $\frac{-4}{5}$ ) = ( LCM of 4 and 5 is 20)

LHS	-3x5	-	-4x4	-15-16	=	-31	=	$\frac{-31}{20}$
	4x5		5x4	20		20

$\frac{-31}{20}$ = LHS

RHS = $\frac{-4}{5}$ + ( $\frac{-3}{4}$ ) ( LCM of 4 and 5 is 20)

RHS	-4x4	-	3x5	-16-15	-	-31	=	$\frac{-31}{20}$
	5x4		4x5	20		20

$\frac{-31}{20}$ = RHS

LHS = RHS

Hence, Commutative property is true for addition.

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

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

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

SOLUTION 1 :

To verify,

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

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

LHS	-3x7	-	-3x6	-21-18	=	-39	=	$\frac{-13}{14}$
	6x7		7x6	42		42

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

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

RHS	-3x6	-	3x7	-18-21	-	-39	=	$\frac{-13}{14}$
	7x6		6x7	42		42

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

LHS = RHS

Hence, Commutative property is true for addition.

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

$\frac{-3}{8}$ and $\frac{-4}{7}$

RHS = Answer: $\frac{-53}{56}$

SOLUTION 1 :

To verify,

$\frac{-3}{8}$ + ( $\frac{-4}{7}$ ) = ( $\frac{-4}{7}$ ) + ( $\frac{-3}{8}$ )

LHS = $\frac{-3}{8}$ + ( $\frac{-4}{7}$ ) = ( LCM of 8 and 7 is 56)

LHS	-3x7	-	-4x8	-21-32	=	-53	=	$\frac{-53}{56}$
	8x7		7x8	56		56

$\frac{-53}{56}$ = LHS

RHS = $\frac{-4}{7}$ + ( $\frac{-3}{8}$ ) ( LCM of 8 and 7 is 56)

RHS	-4x8	-	3x7	-32-21	-	-53	=	$\frac{-53}{56}$
	7x8		8x7	56		56

$\frac{-53}{56}$ = RHS

LHS = RHS

Hence, Commutative property is true for addition.

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

$\frac{-3}{8}$ and $\frac{-4}{9}$

RHS = Answer: $\frac{-59}{72}$

SOLUTION 1 :

To verify,

$\frac{-3}{8}$ + ( $\frac{-4}{9}$ ) = ( $\frac{-4}{9}$ ) + ( $\frac{-3}{8}$ )

LHS = $\frac{-3}{8}$ + ( $\frac{-4}{9}$ ) = ( LCM of 8 and 9 is 72)

LHS	-3x9	-	-4x8	-27-32	=	-59	=	$\frac{-59}{72}$
	8x9		9x8	72		72

$\frac{-59}{72}$ = LHS

RHS = $\frac{-4}{9}$ + ( $\frac{-3}{8}$ ) ( LCM of 8 and 9 is 72)

RHS	-4x8	-	3x9	-32-27	-	-59	=	$\frac{-59}{72}$
	9x8		8x9	72		72

$\frac{-59}{72}$ = RHS

LHS = RHS

Hence, Commutative property is true for addition.

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

$\frac{-3}{6}$ and $\frac{-3}{5}$

RHS = Answer: $\frac{-11}{10}$

SOLUTION 1 :

To verify,

$\frac{-3}{6}$ + ( $\frac{-3}{5}$ ) = ( $\frac{-3}{5}$ ) + ( $\frac{-3}{6}$ )

LHS = $\frac{-3}{6}$ + ( $\frac{-3}{5}$ ) = ( LCM of 6 and 5 is 30)

LHS	-3x5	-	-3x6	-15-18	=	-33	=	$\frac{-11}{10}$
	6x5		5x6	30		30

$\frac{-11}{10}$ = LHS

RHS = $\frac{-3}{5}$ + ( $\frac{-3}{6}$ ) ( LCM of 6 and 5 is 30)

RHS	-3x6	-	3x5	-18-15	-	-33	=	$\frac{-11}{10}$
	5x6		6x5	30		30

$\frac{-11}{10}$ = RHS

LHS = RHS

Hence, Commutative property is true for addition.

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

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

RHS = Answer: $\frac{-13}{12}$

SOLUTION 1 :

To verify,

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

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

LHS	-3x9	-	-3x4	-27-12	=	-39	=	$\frac{-13}{12}$
	4x9		9x4	36		36

$\frac{-13}{12}$ = LHS

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

RHS	-3x4	-	3x9	-12-27	-	-39	=	$\frac{-13}{12}$
	9x4		4x9	36		36

$\frac{-13}{12}$ = RHS

LHS = RHS

Hence, Commutative property is true for addition.

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

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

RHS = Answer: $\frac{-13}{21}$

SOLUTION 1 :

To verify,

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

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

LHS	-2x7	-	-2x6	-14-12	=	-26	=	$\frac{-13}{21}$
	6x7		7x6	42		42

$\frac{-13}{21}$ = LHS

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

RHS	-2x6	-	2x7	-12-14	-	-26	=	$\frac{-13}{21}$
	7x6		6x7	42		42

$\frac{-13}{21}$ = RHS

LHS = RHS

Hence, Commutative property is true for addition.

10)

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

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

RHS = Answer: $\frac{-16}{21}$

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	=	-32	=	$\frac{-16}{21}$
	6x7		7x6	42		42

$\frac{-16}{21}$ = LHS

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

RHS	-3x6	-	2x7	-18-14	-	-32	=	$\frac{-16}{21}$
	7x6		6x7	42		42

$\frac{-16}{21}$ = RHS

LHS = RHS

Hence, Commutative property is true for addition.