An article in the paper says that the local high school’s student population will increase by 10% next year. Diego knows that, this year, about 1,300 students attend the high school, and he wants to figure out next year’s population. First, he draws this diagram.

Here is his work:

• Multiplying 1,300 by 1.1, he gets 1,430.

1. Explain each step in Diego’s method. Why does it work?
2. Use Diego’s method to rewrite each expression so that it uses only multiplication:
3. The first calculation gives 7 increased by 40%. What do the other calculations give, as a percent change?

1. Write an equivalent expression using the distributive property:
2. Evaluate by multiplying just two numbers in your calculator. Write down the expression you calculated.
   1. 130 increased by 10%
   2. 25 decreased by 30%
   3. 50% more than 38
   4. 6% less than 200
3. Write an equivalent expression that only uses multiplication: