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 / )

10  + 419  = 419 + 10

RHS =


Answer:_______________




2)  

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

6  + 318  = 318 + 6

RHS =


Answer:_______________




3)  

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

9  + 216  = 216 + 9

RHS =


Answer:_______________




4)  

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

7  + 213  = 213 + 7

RHS =


Answer:_______________




5)  

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

6  + 317  = 317 + 6

RHS =


Answer:_______________




6)  

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

6  + 316  = 316 + 6

RHS =


Answer:_______________




7)  

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

9  + 415  = 415 + 9

RHS =


Answer:_______________




8)  

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

9  + 416  = 416 + 9

RHS =


Answer:_______________




9)  

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

11  + 216  = 216 + 11

RHS =


Answer:_______________




10)  

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

9  + 314  = 314 + 9

RHS =


Answer:_______________




 

1)  

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

10  + 419  = 419 + 10

RHS = Answer: 19 419


SOLUTION 1 :

To verify, 

10  + 419  = 419 + 10

LHS = 101 + 419 = ( LCM of 1 and 19 is 19)


LHS
 
10x19
+
 
4x1=190
+
 
4=194
19 419
 
1x1919x1191919

 

19 419 = LHS

 RHS =   419 + 101


RHS
 
4x1
+
 
10x19
1x19
=194
+
 
4=194
19 419
 
19x1191919

 

19 419 = 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  + 318  = 318 + 6

RHS = Answer: 376


SOLUTION 1 :

To verify, 

6  + 318  = 318 + 6

LHS = 61 + 318 = ( LCM of 1 and 18 is 18)


LHS
 
6x18
+
 
3x1=108
+
 
3=111
11118
 
1x1818x1181818

 

376 = LHS

 RHS =   318 + 61


RHS
 
3x1
+
 
6x18
1x18
=111
+
 
3=111
11118
 
18x1181818

 

376 = 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 / )

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.

 



4)  

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

7  + 213  = 213 + 7

RHS = Answer: 9313


SOLUTION 1 :

To verify, 

7  + 213  = 213 + 7

LHS = 71 + 213 = ( LCM of 1 and 13 is 13)


LHS
 
7x13
+
 
2x1=91
+
 
2=93
9313
 
1x1313x1131313

 

9313 = LHS

 RHS =   213 + 71


RHS
 
2x1
+
 
7x13
1x13
=93
+
 
2=93
9313
 
13x1131313

 

9313 = 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 / )

6  + 317  = 317 + 6

RHS = Answer: 10517


SOLUTION 1 :

To verify, 

6  + 317  = 317 + 6

LHS = 61 + 317 = ( LCM of 1 and 17 is 17)


LHS
 
6x17
+
 
3x1=102
+
 
3=105
10517
 
1x1717x1171717

 

10517 = LHS

 RHS =   317 + 61


RHS
 
3x1
+
 
6x17
1x17
=105
+
 
3=105
10517
 
17x1171717

 

10517 = 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  + 316  = 316 + 6

RHS = Answer: 9916


SOLUTION 1 :

To verify, 

6  + 316  = 316 + 6

LHS = 61 + 316 = ( LCM of 1 and 16 is 16)


LHS
 
6x16
+
 
3x1=96
+
 
3=99
9916
 
1x1616x1161616

 

9916 = LHS

 RHS =   316 + 61


RHS
 
3x1
+
 
6x16
1x16
=99
+
 
3=99
9916
 
16x1161616

 

9916 = 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  + 415  = 415 + 9

RHS = Answer: 13915


SOLUTION 1 :

To verify, 

9  + 415  = 415 + 9

LHS = 91 + 415 = ( LCM of 1 and 15 is 15)


LHS
 
9x15
+
 
4x1=135
+
 
4=139
13915
 
1x1515x1151515

 

13915 = LHS

 RHS =   415 + 91


RHS
 
4x1
+
 
9x15
1x15
=139
+
 
4=139
13915
 
15x1151515

 

13915 = 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 / )

9  + 416  = 416 + 9

RHS = Answer: 374


SOLUTION 1 :

To verify, 

9  + 416  = 416 + 9

LHS = 91 + 416 = ( LCM of 1 and 16 is 16)


LHS
 
9x16
+
 
4x1=144
+
 
4=148
14816
 
1x1616x1161616

 

374 = LHS

 RHS =   416 + 91


RHS
 
4x1
+
 
9x16
1x16
=148
+
 
4=148
14816
 
16x1161616

 

374 = 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 / )

11  + 216  = 216 + 11

RHS = Answer: 898


SOLUTION 1 :

To verify, 

11  + 216  = 216 + 11

LHS = 111 + 216 = ( LCM of 1 and 16 is 16)


LHS
 
11x16
+
 
2x1=176
+
 
2=178
17816
 
1x1616x1161616

 

898 = LHS

 RHS =   216 + 111


RHS
 
2x1
+
 
11x16
1x16
=178
+
 
2=178
17816
 
16x1161616

 

898 = 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 / )

9  + 314  = 314 + 9

RHS = Answer: 12914


SOLUTION 1 :

To verify, 

9  + 314  = 314 + 9

LHS = 91 + 314 = ( LCM of 1 and 14 is 14)


LHS
 
9x14
+
 
3x1=126
+
 
3=129
12914
 
1x1414x1141414

 

12914 = LHS

 RHS =   314 + 91


RHS
 
3x1
+
 
9x14
1x14
=129
+
 
3=129
12914
 
14x1141414

 

12914 = RHS

LHS = RHS

Hense, Commutative property is true for addition.