5.6.3 Self-Check on Multiplication and Division of Negative Numbers

Exercise symbol Exercise 7: Negative Numbers

Calculator symbolThe calculator can be accessed on the left-hand side bar under Toolkit.

Work out the following calculations by hand, then check your answers by working out the calculation on your calculator.

(a) six minus plus two

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(a) equation left hand side six minus plus two equals right hand side four minus.

(b) six minus minus two

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(b) equation left hand side six minus minus two equals right hand side eight minus.

(c) six minus multiplication two

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(c) equation left hand side six minus multiplication two equals right hand side one minus times two.

(d) six minus division two

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(d) equation left hand side six minus division two equals right hand side three minus.

(e) six minus plus two minus

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(e) equation left hand side six minus plus two minus equals right hand side eight minus.

(f) six minus minus two minus

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(f) equation left hand side six minus minus two minus equals right hand side four minus.

(g) six minus multiplication two minus

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(g) six minus multiplication two minus equals 12.

(h) six minus division two minus

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(h) six minus division two minus equals three.

(i) two multiplication open six minus plus two minus close

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(i) equation sequence two multiplication open six minus plus two minus close equals two multiplication eight minus equals one minus times six.

(j) two minus multiplication open six minus plus two minus close

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(j) equation sequence two minus multiplication open six minus plus two minus close equals open two minus multiplication eight minus close equals 16.

(k) four multiplication open two minus three minus minus six close

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(k) equation sequence four multiplication open two minus three minus minus six close equals four multiplication open two plus three minus six close equals four multiplication one minus equals four minus.

Exercise symbol Exercise 8: Repeated Withdrawals

At the end of the month, your account balance was $124. Over the course of the following month, you withdrew $72 three times. What was your new balance?

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Your new balance = dollar equation left hand side 124 plus three multiplication open dollar minus times 72 close equals right hand side dollar equation left hand side 124 plus open dollar minus times 216 close equals right hand side dollar minus times 92, or your account is overdrawn by $92.

Exercise symbol Exercise 9: Sharing Debt

In 2009 the U.S. National Debt was approximately $11 trillion and the U.S. population was roughly 300 million. How can the debt be represented per person?

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If the debt were split up among the citizens, it would be represented as (-$11 000 000 000 000) ÷ 300 000 000 people = (- $36,667) per person

Now you’ve reached the end of the self-check how did you do compared to how you thought that you would?  If it was better than you thought try and be more confident about your learning!

5.6.2 Self-Check on Negative Numbers

5.7 Quiz Time