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4-9.

Simplify each expression below. For each expression, draw a picture or show how you know your answer makes sense.

  • Use a drawing such as the one to the right to help you make sense of the problem. A number line with a point, labeled, 5.

  • Starting at , add . In other words, subtract 4. Added to the number line, an arc connecting 1 to 5, with a label of negative 4.

  • Now add Added to previous number line, an arc from 1 extending to the right, with label, plus 12.65.

A number line with a point, labeled, 5.

Added to the number line, an arc connecting 1 to 5, with a label of negative 4.

Added to previous number line, an arc from 1 extending to the right, with label,  plus 12.65.

  • See part (a).

  1. Add what is in the parentheses first, then multiply by 4.

  2. Use a drawing as in part (a) to help make sense of this problem.

  3. Remember to subtract what is in the parentheses first before multiplying by 2.

    Make sure all multiplication is done before adding.

    Remember to show how you know your answer makes sen

  4. See part (e).