Sasi Math (Revised for 1024)

Scroll:Real Number System >> Rational Numbers ( Exercise 1.1) >> saq (4323)

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 / )

10 + $\frac{2}{16}$ = $\frac{2}{16}$ + 10

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

8 + $\frac{2}{15}$ = $\frac{2}{15}$ + 8

RHS =

Answer:_______________

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

5 + $\frac{3}{18}$ = $\frac{3}{18}$ + 5

RHS =

Answer:_______________

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

7 + $\frac{2}{14}$ = $\frac{2}{14}$ + 7

RHS =

Answer:_______________

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

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

RHS =

Answer:_______________

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

11 + $\frac{2}{18}$ = $\frac{2}{18}$ + 11

RHS =

Answer:_______________

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

9 + $\frac{2}{14}$ = $\frac{2}{14}$ + 9

RHS =

Answer:_______________

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

12 + $\frac{3}{17}$ = $\frac{3}{17}$ + 12

RHS =

Answer:_______________

10)

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

6 + $\frac{3}{13}$ = $\frac{3}{13}$ + 6

RHS =

Answer:_______________

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

10 + $\frac{2}{16}$ = $\frac{2}{16}$ + 10

RHS = Answer: $\frac{81}{8}$

SOLUTION 1 :

To verify,

10 + $\frac{2}{16}$ = $\frac{2}{16}$ + 10

LHS = $\frac{10}{1}$ + $\frac{2}{16}$ = ( LCM of 1 and 16 is 16)

LHS	10x16	+	2x1	=	160	+	2	=	162	16 $\frac{2}{16}$
	1x16		16x1		16		16		16

$\frac{81}{8}$ = LHS

RHS = $\frac{2}{16}$ + $\frac{10}{1}$

RHS	2x1	+	10x16 1x16	=	162	+	2	=	162	16 $\frac{2}{16}$
	16x1				16		16		16

$\frac{81}{8}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.

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

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

RHS = Answer: $\frac{85}{7}$

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	=	170	$\frac{170}{14}$
	1x14		14x1		14		14		14

$\frac{85}{7}$ = LHS

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

RHS	2x1	+	12x14 1x14	=	170	+	2	=	170	$\frac{170}{14}$
	14x1				14		14		14

$\frac{85}{7}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.

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

8 + $\frac{2}{15}$ = $\frac{2}{15}$ + 8

RHS = Answer: 12 $\frac{2}{15}$

SOLUTION 1 :

To verify,

8 + $\frac{2}{15}$ = $\frac{2}{15}$ + 8

LHS = $\frac{8}{1}$ + $\frac{2}{15}$ = ( LCM of 1 and 15 is 15)

LHS	8x15	+	2x1	=	120	+	2	=	122	12 $\frac{2}{15}$
	1x15		15x1		15		15		15

12 $\frac{2}{15}$ = LHS

RHS = $\frac{2}{15}$ + $\frac{8}{1}$

RHS	2x1	+	8x15 1x15	=	122	+	2	=	122	12 $\frac{2}{15}$
	15x1				15		15		15

12 $\frac{2}{15}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.

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

5 + $\frac{3}{18}$ = $\frac{3}{18}$ + 5

RHS = Answer: $\frac{31}{6}$

SOLUTION 1 :

To verify,

5 + $\frac{3}{18}$ = $\frac{3}{18}$ + 5

LHS = $\frac{5}{1}$ + $\frac{3}{18}$ = ( LCM of 1 and 18 is 18)

LHS	5x18	+	3x1	=	90	+	3	=	93	9 $\frac{3}{18}$
	1x18		18x1		18		18		18

$\frac{31}{6}$ = LHS

RHS = $\frac{3}{18}$ + $\frac{5}{1}$

RHS	3x1	+	5x18 1x18	=	93	+	3	=	93	9 $\frac{3}{18}$
	18x1				18		18		18

$\frac{31}{6}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.

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

7 + $\frac{2}{14}$ = $\frac{2}{14}$ + 7

RHS = Answer: $\frac{50}{7}$

SOLUTION 1 :

To verify,

7 + $\frac{2}{14}$ = $\frac{2}{14}$ + 7

LHS = $\frac{7}{1}$ + $\frac{2}{14}$ = ( LCM of 1 and 14 is 14)

LHS	7x14	+	2x1	=	98	+	2	=	100	$\frac{100}{14}$
	1x14		14x1		14		14		14

$\frac{50}{7}$ = LHS

RHS = $\frac{2}{14}$ + $\frac{7}{1}$

RHS	2x1	+	7x14 1x14	=	100	+	2	=	100	$\frac{100}{14}$
	14x1				14		14		14

$\frac{50}{7}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.

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

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

RHS = Answer: $\frac{61}{5}$

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	=	183	18 $\frac{3}{15}$
	1x15		15x1		15		15		15

$\frac{61}{5}$ = LHS

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

RHS	3x1	+	12x15 1x15	=	183	+	3	=	183	18 $\frac{3}{15}$
	15x1				15		15		15

$\frac{61}{5}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.

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

11 + $\frac{2}{18}$ = $\frac{2}{18}$ + 11

RHS = Answer: $\frac{100}{9}$

SOLUTION 1 :

To verify,

11 + $\frac{2}{18}$ = $\frac{2}{18}$ + 11

LHS = $\frac{11}{1}$ + $\frac{2}{18}$ = ( LCM of 1 and 18 is 18)

LHS	11x18	+	2x1	=	198	+	2	=	200	$\frac{200}{18}$
	1x18		18x1		18		18		18

$\frac{100}{9}$ = LHS

RHS = $\frac{2}{18}$ + $\frac{11}{1}$

RHS	2x1	+	11x18 1x18	=	200	+	2	=	200	$\frac{200}{18}$
	18x1				18		18		18

$\frac{100}{9}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.

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

9 + $\frac{2}{14}$ = $\frac{2}{14}$ + 9

RHS = Answer: $\frac{64}{7}$

SOLUTION 1 :

To verify,

9 + $\frac{2}{14}$ = $\frac{2}{14}$ + 9

LHS = $\frac{9}{1}$ + $\frac{2}{14}$ = ( LCM of 1 and 14 is 14)

LHS	9x14	+	2x1	=	126	+	2	=	128	$\frac{128}{14}$
	1x14		14x1		14		14		14

$\frac{64}{7}$ = LHS

RHS = $\frac{2}{14}$ + $\frac{9}{1}$

RHS	2x1	+	9x14 1x14	=	128	+	2	=	128	$\frac{128}{14}$
	14x1				14		14		14

$\frac{64}{7}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.

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

12 + $\frac{3}{17}$ = $\frac{3}{17}$ + 12

RHS = Answer: $\frac{207}{17}$

SOLUTION 1 :

To verify,

12 + $\frac{3}{17}$ = $\frac{3}{17}$ + 12

LHS = $\frac{12}{1}$ + $\frac{3}{17}$ = ( LCM of 1 and 17 is 17)

LHS	12x17	+	3x1	=	204	+	3	=	207	$\frac{207}{17}$
	1x17		17x1		17		17		17

$\frac{207}{17}$ = LHS

RHS = $\frac{3}{17}$ + $\frac{12}{1}$

RHS	3x1	+	12x17 1x17	=	207	+	3	=	207	$\frac{207}{17}$
	17x1				17		17		17

$\frac{207}{17}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.

10)

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

6 + $\frac{3}{13}$ = $\frac{3}{13}$ + 6

RHS = Answer: $\frac{81}{13}$

SOLUTION 1 :

To verify,

6 + $\frac{3}{13}$ = $\frac{3}{13}$ + 6

LHS = $\frac{6}{1}$ + $\frac{3}{13}$ = ( LCM of 1 and 13 is 13)

LHS	6x13	+	3x1	=	78	+	3	=	81	$\frac{81}{13}$
	1x13		13x1		13		13		13

$\frac{81}{13}$ = LHS

RHS = $\frac{3}{13}$ + $\frac{6}{1}$

RHS	3x1	+	6x13 1x13	=	81	+	3	=	81	$\frac{81}{13}$
	13x1				13		13		13

$\frac{81}{13}$ = RHS

LHS = RHS

Hense, Commutative property is true for addition.