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# Tuesday’s Test PowerPoint PPT Presentation

Tuesday’s Test. Hints. Integers. A set of Integers is shown by I. I = (…-4, -3, -2, -1, 0, 1, 2, 3, 4 …) Note that zero is an integer. It is neither positive or negative. Multi. And Divi. Integers. Follow the rules when multiplying 2 integers.

Tuesday’s Test

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## Tuesday’s Test

Hints

### Integers

• A set of Integers is shown by I.

• I = (…-4, -3, -2, -1, 0, 1, 2, 3, 4 …)

• Note that zero is an integer.

• It is neither positive or negative.

### Multi. And Divi. Integers

• Follow the rules when multiplying 2 integers.

• The product of 2 integers with the same sign is positive.

• (+) (+) = (+)

• (-) (-) = (+)

• The product of 2 integers with different signs is negative.

• (-) (+) = (-)

• (+) (-) = (-)

### Addition and Subtraction of Integers

• Standard Notation

• It is not common practice to write expressions in the following format:

• (-2) - (+5)

• Instead this expression in standard notation is:

• –2 - 5

• ### Cont.

• Remember, if you have a negative outside the brackets, when you drop the brackets change the signs of every term in the brackets.

• Eg. -( -4 + 5 – 5t) = 4 – 5 + 5t

### Cont.

• If you have a poistive, or nothing, outside the bracket, than re-write!!!

• Eg. (5 + 7 – 3f) = 5 + 7 – 3f

• Eg. +(6x + 4 – 8) = 6x + 4 - 8

### Rational Numbers

• The set of rational numbers, shown by Q, is the set of all positive and negative numbers that can be written in fractional form.

• Rational numbers are fractions that can be positive or negative.

• All rules for fractions apply to rational numbers.

• The line between the numerator and the denominator represents the operation of division.

• Therefore a/b = a  b

### + and – of Rational Numbers

• To add and subtract rational numbers:

• Convert mixed rational numbers to improper rational numbers.

• Write all numbers with a common denominator.

• Combine numerators. Remember to use standard notation.

• Write the final answer in lowest terms.

### X of Rational Numbers

• To multiply rational numbers:

• Convert mixed rational numbers to improper rational numbers.

• Eliminate common factors from the numerator an denominator.

• Multiply the numerators and then the denominators.

• Use the rules of integers to determine the sign of the answer.

• Check that the answer is in lowest terms

### Rules for Division

• Convert all mixed rational numbers to improper rational numbers.

• Multiply by the reciprocal. Flip the fraction after the division sign.

• Follow the rules for multiplying rational numbers.

### How to Convert from Decimal to Fraction?

• Write the decimal over 10, 100, 1000

• The convert to the lowest form.

• Ex….