Question

Which is equivalent to 243?

Responses
A (200 x 100) + (40 x 10) + (3 x 1)(200 x 100) + (40 x 10) + (3 x 1)
B (2 x 10) + (4 x 10) + (3 x 10)(2 x 10) + (4 x 10) + (3 x 10)
C (2 x 102) + (4 x 101) + (3 x 10)(2 x , 10 2, ) + (4 x , 10 1, ) + (3 x 10)
D (2 x 102) + (4 x 101) + (3 x 100)

NEED HELP ASAP PLEASE!

Answer 1

D (2 x 10²) + (4 x 10¹) + (3 x 10⁰)

Explanation:

Looks like your copy paste got rid of the formatting but I was able to decipher.

243 = 200 + 40 + 3

= 2 x 100 + 4 x 0 + 3 x 1

Now
100 = 10² (10² = 10 x 10 = 100)

10 = 10¹ (any number raised to 1 is that number itself)

1 = 10⁰ (any number raised to zero is 1)

Therefore
243 = 2 x 10² + 4 x 10¹ + 3 x 10⁰

Answer is D

Answer 2

The correct expression equivalent to the number 243 is (2 x
`10^2`) + (4 x
`10^1`) + (3 x
`10^0`), which represents the place values of hundreds, tens, and ones respectively.

Option A:

(200×100)+(40×10)+(3×1) (200×100)+(40×10)+(3×1)

=20,000+400+3

=20,403

Option B:

(2×10)+(4×10)+(3×10)

=20+40+30

=90

Option C:

(2×
`10^2`)+(4×
`10^1` )+(3×10)

=200+40+30

=270

Option D:

(2×
`10^2`)+(4×
`10^1`)+(3×
`10^0`)

=200+40+3

=243

So, the expression in Option D, (2×
`10^2`)+(4×
`10^1`)+(3×
`10^0`), is equivalent to 243. Therefore, the correct answer is Option D.