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.



 

1)  

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

12  + 217  = 217 + 12

RHS =


Answer:_______________




2)  

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

8  + 415  = 415 + 8

RHS =


Answer:_______________




3)  

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

7  + 413  = 413 + 7

RHS =


Answer:_______________




4)  

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

10  + 216  = 216 + 10

RHS =


Answer:_______________




5)  

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

9  + 216  = 216 + 9

RHS =


Answer:_______________




6)  

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

9  + 414  = 414 + 9

RHS =


Answer:_______________




7)  

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

9  + 215  = 215 + 9

RHS =


Answer:_______________




8)  

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

12  + 315  = 315 + 12

RHS =


Answer:_______________




9)  

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

6  + 416  = 416 + 6

RHS =


Answer:_______________




10)  

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

10  + 317  = 317 + 10

RHS =


Answer:_______________




 

1)  

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

12  + 217  = 217 + 12

RHS = Answer: 20617


SOLUTION 1 :

To verify, 

12  + 217  = 217 + 12

LHS = 121 + 217 = ( LCM of 1 and 17 is 17)


LHS
 
12x17
+
 
2x1=204
+
 
2=206
20617
 
1x1717x1171717

 

20617 = LHS

 RHS =   217 + 121


RHS
 
2x1
+
 
12x17
1x17
=206
+
 
2=206
20617
 
17x1171717

 

20617 = RHS

LHS = RHS

Hense, Commutative property is true for addition.

 



2)  

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

8  + 415  = 415 + 8

RHS = Answer: 12 415


SOLUTION 1 :

To verify, 

8  + 415  = 415 + 8

LHS = 81 + 415 = ( LCM of 1 and 15 is 15)


LHS
 
8x15
+
 
4x1=120
+
 
4=124
12 415
 
1x1515x1151515

 

12 415 = LHS

 RHS =   415 + 81


RHS
 
4x1
+
 
8x15
1x15
=124
+
 
4=124
12 415
 
15x1151515

 

12 415 = RHS

LHS = RHS

Hense, Commutative property is true for addition.

 



3)  

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

7  + 413  = 413 + 7

RHS = Answer: 9513


SOLUTION 1 :

To verify, 

7  + 413  = 413 + 7

LHS = 71 + 413 = ( LCM of 1 and 13 is 13)


LHS
 
7x13
+
 
4x1=91
+
 
4=95
9513
 
1x1313x1131313

 

9513 = LHS

 RHS =   413 + 71


RHS
 
4x1
+
 
7x13
1x13
=95
+
 
4=95
9513
 
13x1131313

 

9513 = RHS

LHS = RHS

Hense, Commutative property is true for addition.

 



4)  

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

10  + 216  = 216 + 10

RHS = Answer: 818


SOLUTION 1 :

To verify, 

10  + 216  = 216 + 10

LHS = 101 + 216 = ( LCM of 1 and 16 is 16)


LHS
 
10x16
+
 
2x1=160
+
 
2=162
16 216
 
1x1616x1161616

 

818 = LHS

 RHS =   216 + 101


RHS
 
2x1
+
 
10x16
1x16
=162
+
 
2=162
16 216
 
16x1161616

 

818 = RHS

LHS = RHS

Hense, Commutative property is true for addition.

 



5)  

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

9  + 216  = 216 + 9

RHS = Answer: 738


SOLUTION 1 :

To verify, 

9  + 216  = 216 + 9

LHS = 91 + 216 = ( LCM of 1 and 16 is 16)


LHS
 
9x16
+
 
2x1=144
+
 
2=146
14616
 
1x1616x1161616

 

738 = LHS

 RHS =   216 + 91


RHS
 
2x1
+
 
9x16
1x16
=146
+
 
2=146
14616
 
16x1161616

 

738 = RHS

LHS = RHS

Hense, Commutative property is true for addition.

 



6)  

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

9  + 414  = 414 + 9

RHS = Answer: 657


SOLUTION 1 :

To verify, 

9  + 414  = 414 + 9

LHS = 91 + 414 = ( LCM of 1 and 14 is 14)


LHS
 
9x14
+
 
4x1=126
+
 
4=130
13014
 
1x1414x1141414

 

657 = LHS

 RHS =   414 + 91


RHS
 
4x1
+
 
9x14
1x14
=130
+
 
4=130
13014
 
14x1141414

 

657 = RHS

LHS = RHS

Hense, Commutative property is true for addition.

 



7)  

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

9  + 215  = 215 + 9

RHS = Answer: 13715


SOLUTION 1 :

To verify, 

9  + 215  = 215 + 9

LHS = 91 + 215 = ( LCM of 1 and 15 is 15)


LHS
 
9x15
+
 
2x1=135
+
 
2=137
13715
 
1x1515x1151515

 

13715 = LHS

 RHS =   215 + 91


RHS
 
2x1
+
 
9x15
1x15
=137
+
 
2=137
13715
 
15x1151515

 

13715 = RHS

LHS = RHS

Hense, Commutative property is true for addition.

 



8)  

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

12  + 315  = 315 + 12

RHS = Answer: 615


SOLUTION 1 :

To verify, 

12  + 315  = 315 + 12

LHS = 121 + 315 = ( LCM of 1 and 15 is 15)


LHS
 
12x15
+
 
3x1=180
+
 
3=183
18 315
 
1x1515x1151515

 

615 = LHS

 RHS =   315 + 121


RHS
 
3x1
+
 
12x15
1x15
=183
+
 
3=183
18 315
 
15x1151515

 

615 = RHS

LHS = RHS

Hense, Commutative property is true for addition.

 



9)  

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

6  + 416  = 416 + 6

RHS = Answer: 254


SOLUTION 1 :

To verify, 

6  + 416  = 416 + 6

LHS = 61 + 416 = ( LCM of 1 and 16 is 16)


LHS
 
6x16
+
 
4x1=96
+
 
4=100
10016
 
1x1616x1161616

 

254 = LHS

 RHS =   416 + 61


RHS
 
4x1
+
 
6x16
1x16
=100
+
 
4=100
10016
 
16x1161616

 

254 = 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 / )

10  + 317  = 317 + 10

RHS = Answer: 17 317


SOLUTION 1 :

To verify, 

10  + 317  = 317 + 10

LHS = 101 + 317 = ( LCM of 1 and 17 is 17)


LHS
 
10x17
+
 
3x1=170
+
 
3=173
17 317
 
1x1717x1171717

 

17 317 = LHS

 RHS =   317 + 101


RHS
 
3x1
+
 
10x17
1x17
=173
+
 
3=173
17 317
 
17x1171717

 

17 317 = RHS

LHS = RHS

Hense, Commutative property is true for addition.