4.1 Hindu-Arabic Positional System

Evaluate the following exponential expressions.

1. $4 \times 5^{2} + 2 \times 6^{3}$
2. $6 \times 8^{2} + 3 \times 8^{1} + 4 \times 8^{0}$
3. $3 \times 10^{2} + 0 \times 10^{1} + 6 \times 10^{0}$

Write the following in expanded form.

1. 563
2. 4,821
3. 903,786

Convert the following into Hindu-Arabic numerals.

1. $3 \times 10^{2} + 4 \times 10^{1} + 8 \times 10^{0}$
2. $5 \times 10^{3} + 0 \times 10^{2} + 9 \times 10^{1} + 9 \times 10^{0}$
3. $6 \times 10^{6} + 2 \times 10^{5} + 0 \times 10^{4} + 9 \times 10^{3} + 1 \times 10^{2} + 1 \times 10^{1} + 7 \times 10^{0}$