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 / )

8  + 214  = 214 + 8

RHS =


Answer:_______________




2)  

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

6  + 219  = 219 + 6

RHS =


Answer:_______________




3)  

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

10  + 315  = 315 + 10

RHS =


Answer:_______________




4)  

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

5  + 415  = 415 + 5

RHS =


Answer:_______________




5)  

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

8  + 316  = 316 + 8

RHS =


Answer:_______________




6)  

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

6  + 216  = 216 + 6

RHS =


Answer:_______________




7)  

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

6  + 213  = 213 + 6

RHS =


Answer:_______________




8)  

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

7  + 214  = 214 + 7

RHS =


Answer:_______________




9)  

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

6  + 215  = 215 + 6

RHS =


Answer:_______________




10)  

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

5  + 218  = 218 + 5

RHS =


Answer:_______________




 

1)  

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

8  + 214  = 214 + 8

RHS = Answer: 577


SOLUTION 1 :

To verify, 

8  + 214  = 214 + 8

LHS = 81 + 214 = ( LCM of 1 and 14 is 14)


LHS
 
8x14
+
 
2x1=112
+
 
2=114
11414
 
1x1414x1141414

 

577 = LHS

 RHS =   214 + 81


RHS
 
2x1
+
 
8x14
1x14
=114
+
 
2=114
11414
 
14x1141414

 

577 = 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 / )

6  + 219  = 219 + 6

RHS = Answer: 11619


SOLUTION 1 :

To verify, 

6  + 219  = 219 + 6

LHS = 61 + 219 = ( LCM of 1 and 19 is 19)


LHS
 
6x19
+
 
2x1=114
+
 
2=116
11619
 
1x1919x1191919

 

11619 = LHS

 RHS =   219 + 61


RHS
 
2x1
+
 
6x19
1x19
=116
+
 
2=116
11619
 
19x1191919

 

11619 = 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 / )

10  + 315  = 315 + 10

RHS = Answer: 515


SOLUTION 1 :

To verify, 

10  + 315  = 315 + 10

LHS = 101 + 315 = ( LCM of 1 and 15 is 15)


LHS
 
10x15
+
 
3x1=150
+
 
3=153
15 315
 
1x1515x1151515

 

515 = LHS

 RHS =   315 + 101


RHS
 
3x1
+
 
10x15
1x15
=153
+
 
3=153
15 315
 
15x1151515

 

515 = 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 / )

5  + 415  = 415 + 5

RHS = Answer: 7915


SOLUTION 1 :

To verify, 

5  + 415  = 415 + 5

LHS = 51 + 415 = ( LCM of 1 and 15 is 15)


LHS
 
5x15
+
 
4x1=75
+
 
4=79
7915
 
1x1515x1151515

 

7915 = LHS

 RHS =   415 + 51


RHS
 
4x1
+
 
5x15
1x15
=79
+
 
4=79
7915
 
15x1151515

 

7915 = 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 / )

8  + 316  = 316 + 8

RHS = Answer: 13116


SOLUTION 1 :

To verify, 

8  + 316  = 316 + 8

LHS = 81 + 316 = ( LCM of 1 and 16 is 16)


LHS
 
8x16
+
 
3x1=128
+
 
3=131
13116
 
1x1616x1161616

 

13116 = LHS

 RHS =   316 + 81


RHS
 
3x1
+
 
8x16
1x16
=131
+
 
3=131
13116
 
16x1161616

 

13116 = 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 / )

6  + 216  = 216 + 6

RHS = Answer: 498


SOLUTION 1 :

To verify, 

6  + 216  = 216 + 6

LHS = 61 + 216 = ( LCM of 1 and 16 is 16)


LHS
 
6x16
+
 
2x1=96
+
 
2=98
9816
 
1x1616x1161616

 

498 = LHS

 RHS =   216 + 61


RHS
 
2x1
+
 
6x16
1x16
=98
+
 
2=98
9816
 
16x1161616

 

498 = 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 / )

6  + 213  = 213 + 6

RHS = Answer: 8013


SOLUTION 1 :

To verify, 

6  + 213  = 213 + 6

LHS = 61 + 213 = ( LCM of 1 and 13 is 13)


LHS
 
6x13
+
 
2x1=78
+
 
2=80
8013
 
1x1313x1131313

 

8013 = LHS

 RHS =   213 + 61


RHS
 
2x1
+
 
6x13
1x13
=80
+
 
2=80
8013
 
13x1131313

 

8013 = 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 / )

7  + 214  = 214 + 7

RHS = Answer: 507


SOLUTION 1 :

To verify, 

7  + 214  = 214 + 7

LHS = 71 + 214 = ( LCM of 1 and 14 is 14)


LHS
 
7x14
+
 
2x1=98
+
 
2=100
10014
 
1x1414x1141414

 

507 = LHS

 RHS =   214 + 71


RHS
 
2x1
+
 
7x14
1x14
=100
+
 
2=100
10014
 
14x1141414

 

507 = 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  + 215  = 215 + 6

RHS = Answer: 9 215


SOLUTION 1 :

To verify, 

6  + 215  = 215 + 6

LHS = 61 + 215 = ( LCM of 1 and 15 is 15)


LHS
 
6x15
+
 
2x1=90
+
 
2=92
9 215
 
1x1515x1151515

 

9 215 = LHS

 RHS =   215 + 61


RHS
 
2x1
+
 
6x15
1x15
=92
+
 
2=92
9 215
 
15x1151515

 

9 215 = 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 / )

5  + 218  = 218 + 5

RHS = Answer: 469


SOLUTION 1 :

To verify, 

5  + 218  = 218 + 5

LHS = 51 + 218 = ( LCM of 1 and 18 is 18)


LHS
 
5x18
+
 
2x1=90
+
 
2=92
9 218
 
1x1818x1181818

 

469 = LHS

 RHS =   218 + 51


RHS
 
2x1
+
 
5x18
1x18
=92
+
 
2=92
9 218
 
18x1181818

 

469 = RHS

LHS = RHS

Hense, Commutative property is true for addition.