i need an example of distributive property without the ( )?

Hi Machelle. If I understand you correctly, you need to solve the problem 90-45 using the distributive property. Normally we don't use the distributive property to solve these types of problems, but for the purposes of education, sometimes it is helpful for the student to try it out. It can help the students develop an intuitive understanding of the distributive property.

The key is to find a common factor for 90 and 45. 9 is a good choice. You can also use 5 or 45.

90-45

=9•10-9•5

=9(10-5)

=9(5)

=45

Now this isn't easier for me than the direct route of just subtracting 45 from 90, but it can help the student see a useful relationship between the numbers. Try it with 5 or 45 as the factor that gets pulled outside the parentheses.

One version of the distribute property is

ab+ac = a(b+c)

This isn't really an operation so much as a rule that can be applied in either direction. If you have something that looks like the left side, you can rewrite it like the right side. If you have something that looks like the right side, you can rewrite it as the left side. In both cases, you are using the distributive property, though we only usually call going from a(b+c) to ab+ac "distributing" the a.

Feel free to use the comment button if you have further questions about this.