Question

Dana wrote 6 x 58 as the product of 6 and 50 added to the product of 6 and Which property did she use?​

Answer 1

6 × 58 = (6 × 50) + (6 × 8)

Distributive property

Answer 2

Distributive property.

Explanation:

Dana wrote
`\sf 6 * 58` as the sum of two products:
`\sf 6 * 50` and
`\sf 6 * (\text{something})`. The property she used is the distributive property.

The distributive property states that for any numbers
`\sf a`,
`\sf b`, and
`\sf c`, the following equation holds:

`\sf \boxed{\boxed{\sf a * (b + c) = a * b + a * c}}`

In Dana's case,
`\sf a = 6`,
`\sf b = 50`, and
`\sf c = (\text{something})`.

Therefore, she applied the distributive property to break down
`\sf 6 * 58` into
`\sf 6 * 50` and
`\sf 6 * (\text{something})`.