Question

Contributive property to write an equivalen 9(h+10k) Submit Answer

Answer 1

`\[ 9(h + 10k) \text{ is equivalent to } 9h + 90k. \]`

Step-by-step explanation:

The distributive property, also known as the distributive law or distributive property of multiplication over addition, states that when you multiply a number by a sum, you can distribute the multiplication to each term inside the parentheses. In this case, we have 9 multiplied by the sum h + 10k. Applying the distributive property, we multiply 9 by each term inside the parentheses:

`\[ 9(h + 10k) = 9 * h + 9 * 10k \]`

This simplifies to:

9h + 90k

Therefore,
`\( 9(h + 10k) \)` is equivalent to 9h + 90k. The 9 is multiplied by both h and 10k, resulting in the expanded expression.

In summary, the distributive property is a fundamental concept in algebra that allows us to simplify expressions by distributing a factor to each term inside parentheses. In the given expression, applying the distributive property gives us the equivalent expression 9h + 90k, which is the final answer. This process is essential in algebraic manipulations and simplifications, providing a systematic way to handle expressions with parentheses and multiplication.