Answer:

Let us observe the decimal and fractional expansion in the place-value chart in case of decimal numbers is represented as follows:

Decimal and Fractional Expansion

To expand the given decimal number, arrange it in the place value chart and expand. The explanation will help us to understand both the decimal expansion and the fractional expansion.

1. Write the decimal and fractional expansion of 284.361.

Solution:

Decimal Expansion

In decimal expansion:

2 × 100 + 8 × 10 + 4 × 1 + 3 × 1/10 + 6 × 1/100 + 1 × 1/1000

200 + 80 + 4 + 3/10 + 6/100 + 1/1000

200 + 80 + 4 + 0.3 + 0.06 + 0.001

In fractional expansion:

2 × 100 + 8 × 10 + 4 × 1 + 3 × 1/10 + 6 × 1/100 + 1 × 1/1000

200 + 80 + 4 + 3/10 + 6/100 + 1/1000