Question

Express the following decimal in expanded form:

3 × 10 + 2 × 1 + 6 × (1/100) + 4 × x + 1,000

A) 32.016x + 1,000
B) 326x + 10.04
C) 30 + 2 + 0.06x + 0.04 + 1,000
D) 300 + 20 + 0.6x + 0.04 + 1,000

Answer 1

To express the given decimal in expanded form, multiply each term by its coefficient and combine like terms.

Step-by-step explanation:

To express the given decimal in expanded form, we need to multiply each term by its coefficient and add them together:

3 × 10 + 2 × 1 + 6 × (1/100) + 4 × x + 1,000

Simplifying each term:

30 + 2 + 0.06x + 4x + 1,000

Combining like terms:

32 + 4.06x + 1,000

The expanded form of the decimal expression is 32 + 4.06x + 1,000.