Question

5. Simplify the following using a suitable property.
a. 864 x 96 + 864 x 4
b. (94 x 531) + (94 x 469)
c. 78 x 127 - 78 x 27
d. 71 x 212 – 71 x 12
e. (63 x 23) + (63 x 17) + (63 x 60)
f. (785 x 27) + (785 x 43) + (785 x 30)
g. 25 x 37 x 4
h. 125 x 73 x 8
i. 63 +84 + 37
j. 48 + 76 + 52
k. 678 x 101 - 678
1. 435 x 99 + 435
mulo Thon using the rule fill in the blanks.​

Answer 1

$a. 864\times 96 + 864 \times 4$

$= 864( 96 + 4 )$

/* By Distributive Property */

$\boxed{\pink{a \times b + a \times c = a(b+c) }}$

$= 864 \times 100$

$= 86400$

Therefore.,

$\red{864\times 96 + 864 \times 4}\green { = 87400}$

$b. 94\times 531+ 94\times 469$

$= 94( 531 + 469 )$

/* By Distributive Property */

$\boxed{\pink{a \times b + a \times c = a(b+c) }}$

$= 94 \times 1000$

$= 94000$

Therefore.,

$\red{(94\times 531 )+ (94 \times 469)}\green { = 94000}$

•••♪

Answer 2

Answer:

a.864×96+864×4

= 864( 96 + 4 )=864(96+4)

/* By Distributive Property */

\boxed{\pink{a \times b + a \times c = a(b+c) }}a×b+a×c=a(b+c)

= 864 \times 100=864×100

= 86400=86400

Therefore.,

\red{864\times 96 + 864 \times 4}\green { = 87400}864×96+864×4=87400

b. 94\times 531+ 94\times 469b.94×531+94×469

= 94( 531 + 469 )=94(531+469)

/* By Distributive Property */

\boxed{\pink{a \times b + a \times c = a(b+c) }}a×b+a×c=a(b+c)

= 94 \times 1000=94×1000

= 94000=94000

Therefore.,

\red{(94\times 531 )+ (94 \times 469)}\green { = 94000}(94×531)+(94×469)=94000