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**Q.1. Fill in the blanks to make each of the following a true statements :(i) 458 + 639 = 639 + ......(ii) 864 + 2006 = 2006 + ......(iii) 1946 + ...... = 984 + 1946(iv) 8063 + 0 = ......**

**(v) 53501 + (574 + 799) = 574 + (53501 + ......)**

**Ans.** **(i)** 458 + 639 = 639 + **458**

(Commulative law)

**(ii)** 864 + 2006 = 2006 + **864**

(Commulative law)

**(iii)** 1946 + **984** = 984 + 1946

(Commulative law)**(iv)** 8063 + 0 = **8063**

(Additive property of zero)**(v) **53501 + (574 + 799) = 574 + (53501 + **799**)

(Associative law)**Q.2. Add the following numbers and check by reversing the order of the addents :****(i) 16509 + 114****(ii) 2359 + 548****(iii) 19753 + 2867****Ans.****(i) **16509 + 114 = 16623

Check : 16623 – 114 = 16509 which is given.**(ii)** 2359 + 548 = 2907

Check : 2907 – 2359 = 548 which is given**(iii)** 19753 + 2867 = 22620

Check : 22620 – 19753 = 2867 which is given**Q.3. Find the sum : (1546 + 498) + 3589. Also, find the sum : 1546 + (498 + 3589).Are the two sums equal ? State the property satisfied.**

(1546 + 498) + 3589 = 2044 + 3589

= 5633

and 1546 + (498 + 3589) = 1546 + 4087

= 5633

Yes, the above two sum are equal.

The property used is associative law of addition.

= (953 + 647) + 707

(by associative law)

= 1600 + 707 = 2307

= (1983 + 217) + (647 + 353)

= 2200 + 1000 = 3200

= (15409 + 691) + (278 + 422)

(by associative law)

= 16100 + 700 = 16800**(iv)** 3259 + 10001 + 2641 + 9999

= (3259 + 2641) + (10001 + 9999)

(by associative law)

= 5900 + 20000 = 25900**(v) **1 + 2 + 3 + 4 + 96 + 97 + 98 + 99

= (1 + 99) + (2 + 98) + (3 + 97) + (4 + 96)

= (100 + 100) + (100 + 100)

= 200 + 200 = 400**(vi) **2 + 3 + 4 + 5 + 45 + 46 + 47 + 48

= (2 + 48) + (3 + 47) + (4 + 46) + (5 + 45)

= (50 + 50) + (50 + 50)

= 100 + 100 = 200**Q.5. Find the sum by short method :****(i) 6784 + 9999****(ii) 10578 + 99999****Ans.** **(i)** 6784 + 9999 = (6784 – 1) + (9999 + 1)

(Adding and subtracting 1)

= 6783 + 10000 = 16783**(ii) **10578 + 99999

(Adding and subtracting 1)

= (10578 – 1) + (99999 + 1)

= 10577 + 100000 = 110577**Q.6. For any whole numbers a, b, c, is it true that (a + b) + c = a + (c + b) ? Give reasons.****Ans.** Yes it is true, by the property of associative law of addition.**Q.7. Complete each one of the following magic squares by supplying the missing numbers** :**(i)****(ii)****(iii)****(iv)****Ans.**

The magic squares given are completed as under :**(i)**

In each row/column, the sum = 15**(ii)**

In each row/column, the sum = 30**(iii)**

In each rows/column, the sum = 38**(iv)**

In each row/column, the sum = 46**Q.8. Write (T) for true and (F) for false for each of the following statements :****(i) The sum of two odd numbers is an odd number.****(ii) The sum of two even numbers is an even number.****(iii) The sum of an even number and an odd number is an odd number.****Ans.****(i)** The sum of two odd numbers is an odd number (F)

As sum of two odd numbers is alway an even number**(ii) **The sum of two even number is an even number (T)**(iii)** The sum of an even number and an odd number is an odd numebr (T)

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