Question

Which of the following represents the correct expanded form of the number 2345?

• A. 2 x ${10}^3$ + 3 x ${10}^2$ + 4 x ${10}^1$ + 5 x ${10}^0$
• B. 2 x ${10}^4$ + 3 x ${10}^3$ + 4 x ${10}^2$ + 5 x ${10}^0$
• C. 2 x ${10}^4$ + 4 x ${10}^3$ + 3 x ${10}^2$ + 5 x ${10}^0$
• D. 5 x ${10}^3$ + 4 x ${10}^2$ + 3 x ${10}^1$ + 2 x ${10}^0$

Answer 1

The correct option is A 2 x ${10}^3$ + 3 x ${10}^2$ + 4 x ${10}^1$ + 5 x ${10}^0$

The expanded form of 2345 is
2 x 1000 + 3 x 100 + 4 x 10 + 5 x 1
= 2 x ${10}^3$ + 3 x ${10}^2$ + 4 x ${10}^1$ + 5 x ${10}^0$