Working With Negative Numbers (Leaving Cert Mathematics): Flashcards

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Working With Negative Numbers
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Definition of integers

Positive & negative whole numbers including zero

Symbol representing the set of integers

ZZ (from German 'Zahlen' meaning numbers)

Rule: adding integers with same sign

Add values and keep the common sign

Rule: adding integers with different signs

Subtract, keep sign of larger absolute value

Sign rule: (−)×(−)=?(-) \times (-) = ?

(+)(+) - like signs give positive

Sign rule: (+)×(−)=?(+) \times (-) = ?

(−)(-) - unlike signs give negative

Term for removing brackets from expressions

Expanding

Rule when removing brackets

Multiply outside term by every term inside brackets

BIMDAS acronym stands for

Brackets, Indices, Multiply, Divide, Add, Subtract

First step in BIMDAS order

Brackets

What does 'I' represent in BIMDAS?

Indices (or powers)

Result of (−5)×(−4)(-5) \times (-4)

2020 (like signs = positive)

Result of (−3)×6(-3) \times 6

−18-18 (unlike signs = negative)

Simplify: −(−5)-(-5)

55 (double negative equals positive)

Calculate: (−3)+(−7)(-3) + (-7)

−10-10 (same sign: add values, keep sign)

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