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Transcript

Add & Subtract Integers Need two highlighters Numbers increase in value from left to right Negative -5 < Positive 5 0 Owe Below Loss Debt Above Gain Received Increase Write an integer for each situation Example 1) The diver dove 150 ft. -150 Example 2) The distance between home and school is 15 miles. 15 Example 3) The customer owes $600. -600 Absolute value Definition - The distance from zero. Distance is always positive Symbol - Two parallel bars with an integer in between. X -X 4 spaces Find the absolute value of 4 and -4 ● 4 = 4 0 ● ─4 = 4 ─4 4 Give the opposite of each integer Example 4) 16 - 16 Example 5) -91 91 Example 6) - 6/3 6/3 Example 7) 0 2 0 Find the absolute Value Example 8) │16│ 16 Example 9) -│10│ - 10 Example 10) │- 6│ 6 Example 11) -│-1│ - 1 use a number line to add integers + 3 ++ 2 = 5 or 2 + 3 = 5 Positive sign means to go right. positive If there is no sign it is _________ use a number line to subtract integers to subtract integers – we add the opposite + 3–2= + 3 + (─ 2) = 1 or Go right Go left -2 + 3 = 1 left . Negative sign means to go _____ Strategy – Highlight positive one color and negatives a different color EX 12) -3 + 2 = -1 EX 13) -3 ─ 2 = -5 -3 + ─ 2 = -5 Numbers were subtracted Different colors subtract Numbers were added Same color add For larger numbers we can use symbols. -7 + 12 = 7 Negatives ---- +5 12 Positives + + + + + + + + + + + + A negative and positive charge cancel each other out Not in Notes ADD /SUBTRACT RULES - 7 +12 = 5 + 7 + 12 = 19 + 7 +- 12 12 = -5 - 12 12 - 7+ = - 19 Different Same subtract Add Different subtract Same Add Keep the sign of the larger absolute value Rules to follow for adding and subtracting integers Signs alike - add Signs different - subtract Final answer will use the sign of largest absolute value Double Negative – Add the opposite ─ 7 ─ ( ─12) = ─7 ─+( ─+12 ) = 5 Left 7 Right 12 Sort the following into addition or subtraction problems 5+6 -5 + 6 -5 –+ (-6) (6) 5 - 6 -5 - 6 -5 – (+6) 5 + (-6) -5 + (-6) Essential Question How are adding and subtracting integers similar? Notes start here Date ____________ Add & Subtract Integers Numbers _________ in value from left to right -5 0 5 Write an integer for each situation Example 4) The diver dove 150 ft. Example 5) The distance between home and school is 15 miles. Example 6) The customer owes $600. Absolute value Definition - The _________ from zero. Distance is always ______ Symbol - ___________ bars with a number in between. Find the absolute value of 4 and -4 0 Give the opposite of each integer Example 7) 16 Example 8) -91 Example 9) - 6/3 Example 10) 0 Find the absolute Value Example 11) │16│ Example 12) -│10│ Example 13) │- 6│ Example 14) -│-1│ use a number line to add integers Positive sign means to go ______. If there is no sign it is _________ use a number line to subtract integers to subtract integers – Negative sign means to go _____ . Strategy – Highlight positive one color and negatives a different color - 7 +12 7 + 12 7 - 12 - 7 -12 Rules to follow for adding and subtracting integers Signs _______ ____ Signs _________ _________ Final answer will use the sign of _______ absolute value Double Negative ─ 7 ─ ( ─12) = Sort the following into addition or subtraction problems Add Subtract Essential Question How are adding and subtracting integers similar?