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Tuesday’s Test

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.

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Tuesday’s Test

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  1. Tuesday’s Test Hints

  2. 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.

  3. 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. • (-) (+) = (-) • (+) (-) = (-)

  4. 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

  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

  6. 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

  7. 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

  8. + 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.

  9. 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

  10. 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.

  11. How to Convert from Decimal to Fraction? • Write the decimal over 10, 100, 1000 • The convert to the lowest form. • Ex….

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