Question

Ahsan

Which expressions are equivalent to 242 x 62?
Choose all that are correct.
(200 x 62) + (40 x 62) + (2 x 62)
(242 x 6) + (242 x 2)
12.000 + 2.400 + 120 + 400 + 80 +4
(242 x 60) + (242 x 2)
(200 X 6) + (40 x 6) + (2 x 6) + (200 X 2) + (40 2) + (2 x 2)

Answer 1

Expressions (200 x 62) + (40 x 62) + (2 x 62) and (242 x 60) + (242 x 2) are equivalent to 242 x 62, as they apply the distributive property of multiplication and result in the same product of 15004.

Step-by-step explanation:

The expressions equivalent to 242 x 62 can be derived by using distributive property or breaking down the numbers into smaller components and recombining them. This is often done to make mental calculations easier or to show understanding of how multiplication works.

• (200 x 62) + (40 x 62) + (2 x 62) - This expression is the result of breaking down 242 into 200 + 40 + 2 and then multiplying each by 62.
• (242 x 60) + (242 x 2) - Here, 62 is split into 60 + 2, and 242 is multiplied by each.

Upon calculation, one can verify that both expressions will give the product of 242 and 62:

1. For (200 x 62) + (40 x 62) + (2 x 62): 12400 + 2480 + 124 = 15004
2. For (242 x 60) + (242 x 2): 14520 + 484 = 15004

The first and fourth expressions are therefore equivalent to 242 x 62.

Answer 2

It is number 1 and number 2 because the equation is 242× 62 and Number 1 and 2 are just breaking it down