Question 15 Marks
Match the following:
| $1.$ |
$625 \times 436 = 625 \times 400 + 625 \times 30 + 625 \times 6$
|
$a$
|
Commutativity under addition.
|
|
$2.$
|
$25 \times 69 \times 8 = 25 \times 8 \times 69$
|
$b$
|
Commutativity under multiplication.
|
|
$3.$
|
$60 + 19758 + 840 = 60 + 940 + 19758$
|
$c$
|
Distributivity of multiplication over addition.
|
Answer
.$i.\ 625 \times 436 = 625 \times (400 + 30 + 6)$
$= 625 \times 400 + 625 \times 30 + 625 \times 6$
This is the distributive law of multiplication over addition.
$ii.\ 25 \times 69 \times 8$
$= 25 \times 8 \times 69$
This is the commutative law of multiplication
$iii.\ 60 + 19758 + 840$
$= 60 + 940 + 19758$
This is the commutative law of addition.
View full question & answer→| $1.$ |
$625 \times 436 = 625 \times 400 + 625 \times 30 + 625 \times 6$
|
$a$
|
Distributive of multiplication over addition.
|
|
$2.$
|
$25 \times 69 \times 8 = 25 \times 8 \times 69$
|
$b$
|
Commutative under multiplication.
|
|
$3.$
|
$60 + 19758 + 840 = 60 + 940 + 19758$
|
$c$
|
Commutative under addition.
|
$= 625 \times 400 + 625 \times 30 + 625 \times 6$
This is the distributive law of multiplication over addition.
$ii.\ 25 \times 69 \times 8$
$= 25 \times 8 \times 69$
This is the commutative law of multiplication
$iii.\ 60 + 19758 + 840$
$= 60 + 940 + 19758$
This is the commutative law of addition.