Simplify by using suitable properties (also state them ):
(a) 71 x 56 + 29 x 56
(b) 135 x 52 + 135 x 48
(c) 16825 x 16825 – 16825 x 6285
(d) 569 x 17 + 569 x 13 + 569 x 70
Answers
Answers
a) 71 x 56 + 29 x 56=5600
b) 135 x 52 + 135 x 48=13500
c)16825 x 16825 – 16825 x 6285=105745125
d)569 x 17 + 569 x 13 + 569 x 70=26407290
Given:
The equations are given.
(a) 71 x 56 + 29 x 56
(b) 135 x 52 + 135 x 48
(c) 16825 x 16825 – 16825 x 6285
(d) 569 x 17 + 569 x 13 + 569 x 70
Objective:
To simplify those equations using suitable properties.
Step-by-step explanation:
(a) 71 x 56 + 29 x 56
Using distributive property we have ab+ac=a(b+c)
71+29(56)=100(56)
=5600
(b) 135 x 52 + 135 x 48
Using distributive property we have ab+ac=a(b+c)
135(52+48)=135(100)
=13500
(c) 16825 x 16825 – 16825 x 6285
This expression can be written using the property as (a)(a)-(a)(b)=a-a(ab)
16825-16825(16825×6285)=16825×6285
=105745125
(d) 569 x 17 + 569 x 13 + 569 x 70
This expression can be written using the property as ab+ac+ad=a+a+a(bcd)
569+569+569(17×13×70)=1707×15470
=26407290
Hence, we simplified the equations using the suitable properties.
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Answer:
TO SOLVE:
(a) 71×56+29×56 =5600
(b) 135×52+135×48 =13500
(c)16825×16825-16825×6285 =105745125
(d) 569×17+569×13+569×70 =26407290
Step-by-step explanation:
Given:
The equations are
(a) 71×56+29×56
(b)135×52+135×48
(c)16825×16825-16825×6285 = 105745125
(d) 569×17+569×13 +569×70= 26407290
Objective:
(a)71×56+29×56
[using distributive property we have ab+ ac =a(b+c)
71+29(56)
=5600
(b) 135×52 +135×48
=135(48+52)
=13500
(c)16825×16825-16825×6285
This expression is written (a)(a)-(a)(b)=a-a(ab)
=16825 -16825(16825×6285)
=105745125
(d)569×17+569×13+569×70
Using ab+ac+ad =3a (bcd)
=569×3(17×13×70)
=26407290
Simplified equation using suitable properties .
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