3. Choose the correct option
8 x (6 x 7) is equal to:
a. 8 x 6 - 7
b. 8- (6 - 7)
e. 8 x 12
d. (8 x 6) x 7
ii. Which one of the following illustrates the Associative Law of addition?
a. 3+ (2 + 4) = (4 + 4) + 1
b. 3+ (2 + 4) = (3 + 2) + 4
c. 3+ (2 + 4) = (5 + 2) + 2
d. 3+ (2 + 4) = (2+6) + 1
iii. Which of the following illustrates the Associative Law of multiplication?
a. 4x (3 x 6) = (6 x 6 x 2
b. 4x (3 x 6) = (3 x 12) x 2
c. 4x (3 x 6) = (4 x 3) x 6
d. 4x (3 x 6) = (3x8) 3
4. Do this without using distributive property.
i) 39 x 63 + 39 x 37
ii) 81 x 450 +81 x 550
iii) 50 x 161 - 50 x 81
iv) 827 x 60 - 327 x 60
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Answered by
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Answer:
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It's pretty simple! No matter what order they are multiplied/added in, the solution will be the same.
3. i) d)
8 × ( 6 × 7 ) = ( 8 × 6 ) × 7
–––
3. ii) b)
3 + ( 2 + 4 ) = ( 3 + 2 ) + 4
–––
3. iii) c)
4 × ( 3 × 6 ) = ( 4 × 3 ) × 6
–––
In this type of question, just take the common number, in this case 39, outside the bracket.
4. i) 39 x 63 + 39 x 37
= 39( 1 × 63 + 1 × 37 )
= 39( 63 + 37 )
= 39( 100 )
= 3900
–––
ii) 81 x 450 +81 x 550
81( 450 + 550 )
= 81( 1000 )
= 81000
–––
iii) 50 x 161 - 50 x 81
50( 161 - 81 )
= 50( 80 )
= 4000
–––
iv) 827 x 60 - 327 x 60
60( 827 - 327 )
= 60( 500 )
= 30000
–––
Hope this helps :) [tex][/tex]
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