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.

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Tuesday’s Test

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Tuesday s test

Tuesday’s Test

Hints


Integers

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

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

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


  • Tuesday s test

    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


    Tuesday s test

    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

    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

    + 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

    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

    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

    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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