Question

fined the value of the following using properties of whole number​

Answer 1

Answers:

i) 78,600 ii)24,400 iii) 82,100 iv) 74,100

Step-by-step explanation:

(I) 786*84+786*16

1. This shows us the Distributive Property of Multiplication over Addition.
2. a(b+c)= a*b+a*c.
3. In this case, it is convenient for us to change the problem in a*b+a*c form to a(b+c) form.
4. a=786, b=84 and c=16.
5. 786*84+786*16 can be re-written as:
6. 786(84+16)
7. 786(100)
8. =78,600

(II) 242*102

1. We can re-write 242*102 as (100+142)*(100+2)
2. Now, we can say that this is in the distributive property form: a*b+a*c, where a=100, b=142 and c=2.
3. We can re-write this as:
4. 100(142+102)
5. 100(244)
6. =24,400

(III)4*821*25

1. The order of the numbers in this problem can be re-arranged conveniently according to the Commutative Property of Multiplication. a*b*c=a*c*b.
2. Here, a=4, b=821 and c=25.
3. Re-arranged conveniently:
4. 4*25*821
5. 100*821
6. =82,100

(IV)741*124-741*24

1. This one is called Distributive Property of Multiplication over Subtraction.
2. Here, it can be re-written as: a*b-a*c=a(b-c) (where b>c).
3. Here, a=741, b=124 and c=24.
4. Then,
5. 741(124-24)
6. 741(100)
7. =74,100