which expression has the greatest value?

A. 2,067
B. (2,067 + 49) x 21
C. 1/3 x (2,067 + 49)
D. 20 x (2,067 + 49)

To find the expression with the greatest value, we need to simplify each expression and compare the results.

A. 2,067
This expression is already simplified.

B. (2,067 + 49) x 21
Inside the parentheses, we have 2,067 + 49 = 2,116.
Multiplying by 21, we get 2,116 x 21 = 44,436.

C. 1/3 x (2,067 + 49)
Inside the parentheses, we have 2,067 + 49 = 2,116.
Multiplying by 1/3, we get 2,116 x 1/3 = 705.3333 (rounded to four decimal places).

D. 20 x (2,067 + 49)
Inside the parentheses, we have 2,067 + 49 = 2,116.
Multiplying by 20, we get 2,116 x 20 = 42,320.

Comparing the results:

A. 2,067
B. 44,436
C. 705.3333 (rounded)
D. 42,320

The expression with the greatest value is B. (2,067 + 49) x 21 with a value of 44,436.