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Write the smallest natural and smallest whole number.

Closure Property |
If a and b are any two whole numbers, then a+b = b+a and a×b = b×a. |

Commutative property |
If a and b are any two whole numbers, then a+b, axb are also whole numbers. |

Associative property |
If a, b and c are any two whole numbers, then a(b+c) = a×b + a×c. |

Distributive property |
If a, b and c are any two whole numbers, then (a+b)+c = a+(b+c) and (a×b)×c = a×(b×c). |

Additive Identity |
If a is any whole number, then a + 0 = a = 0 + a. |

Multiplicative Identity |
If a is any whole number, then a × 0 = 0 = 0 × a. |

Multiplication by zero |
If a is any whole number, then a × 1 = a = 1 × a |

Division by zero |
If a is any whole number, then a ÷ 0 is not defined |

191 +13 =13 +191 |
Associative Property of Multiplication. |

90 +0 =00 |
Distributive Property of Multiplication over Addition. |

(78 + 1) + 11 = 78 + (1 +11) |
Commutative Property of Multiplication |

(121 x 4) x 80 = 121 x (4 x 80) |
Distributive Property of Multiplication over Subtraction. |

12 x (10 + 85) = 12 x 10 + 12 x 85 |
Associative Property of Addition |

71x (11 – 3) = 71 x 11 - 71 x 3 |
Additive Identity |

10 x 45 = 45 x 10 |
Commutative Property of Addition. |

(a) ____ × 13 = 13 × 18

(b) Whole numbers are closed under _______ and ________ operation.

(c) Division by ______ is not defined.

(d) _______ is the identity for multiplication.

(e) If ______ is added to a number, the sum will remain the same. Hence ______is called the __________ in the whole numbers.

How many whole numbers are there between 12 and 86

Find the product using Distributive property

(a) 168 × 102

(b) 625 × 279 - 625 ×79

Find the successor and predecessor of each of the following whole numbers:

(i) 999

(ii) 21999

(iii) 4001

(iv) 500012

(v) 11111

Seema got 99 marks in Math, 69 marks in English, and 91 in Science. Another student Rita got 92 marks in Math, 33 in English and 84 in Science. What are their total marks?

Ramesh ordered 10 cartons of chocolates to distribute among the class. Each carton holds 20 boxes and each box has 12 chocolates. How many chocolates did Ramesh order altogether?

Mukesh lives form a hostel which charges Rs 55 for Dinner and 45 for Lunch. Find the money he has to pay for seven days.

The smallest natural number is 1

The smallest whole number is 0.

Closure Property |
If a and b are any two whole numbers, then a+b, axb are also whole numbers. |

Commutative property |
If a and b are any two whole numbers, then a+b = b+a and a×b = b×a. |

Associative property |
If a, b and c are any two whole numbers, then (a+b)+c = a+(b+c) and (a×b)×c = a×(b×c). |

Distributive property |
If a, b and c are any two whole numbers, then a(b+c) = a×b + a×c. |

Additive Identity |
If a is any whole number, then a + 0 = a = 0 + a. |

Multiplicative Identity |
If a is any whole number, then a × 1 = a = 1 × a |

Multiplication by zero |
If a is any whole number, then a × 0 = 0 = 0 × a. |

Division by zero |
If a is any whole number, then a ÷ 0 is not defined |

191 +13 =13 +191 |
Commutative Property of Addition |

90 +0 =00 |
Additive Identity |

(78 + 1) + 11 = 78 + (1 +11 ) |
Associative Property of Addition |

(121 x 4) x 80 = 121 x (4 x 80) |
Associative Property of Multiplication. |

12 x (10 + 85) = 12 x 10 + 12 x 85 |
Distributive Property of Multiplication over Addition. |

71x ( 11 – 3 ) = 71 x 11 - 71 x 3 |
Distributive Property of Multiplication over Subtraction. |

10 x 45 = 45 x 10 |
. Commutative Property of Multiplication |

(a) 18

(b) Addition and Multiplication.

(c) 0.

(d) 1.

(e) 0, 0,Identity element for Addition.

6)

(a) 168 × 102 =168×(100+2)= 16800 + 336=17136

(b) 625 × 279 - 625 ×79 =625×(279-79)= 625×200=125000

Math = 99

English = 69

Science = 91

∴ Total marks obtained by Seema =99 + 69 + 91 = 259

Marks obtained by Rita :

Math = 92

English = 32

Science = 84

So Total marks obtained by John =92 + 33 + 84 = 209

10) Amount paid for lunch = 45

Amount paid for dinner = 55

Number of days = 7

Money paid by him in 7 days = 7 x (55 +45) = 700

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