There are 30 teams in the National Basketball Association (NBA). Each team can have a maximum of 12 healthy players plus 3 players on injured reserve. Use the distributive property to find the maximum number of players who can be in the NBA.

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: $\text{a} \text{(b} \text{+} \text{c} \text{)} = \text{a} · \text{b} + \text{a} · \text{c}$

Example: $\text{12} \text{(3} \text{+} \text{4} \text{)} = \text{12} · \text{3} + \text{12} · \text{4} = 36 + 48 = 84$

Question has given:

There are 30 teams in the National Basketball Association (NBA).

Each team can have a maximum of 12 healthy players plus 3 players on injured reserve.

Distributive Property of Multiplication

Property: $\text{a} \text{(b} \text{+} \text{c} \text{)} = \text{a} · \text{b} + \text{a} · \text{c}$

Maximum number of player = No of Teams ( number of healthy players + number of reserve players)

localid="1649117943847" $30 (12+3)= 30 · 12 + 30 · 3 = 360 + 90 =450$

Hence, maximum number of players = 450