Add & Subtract Integers Need two highlighters. 0 Positive Negative 5- 5 Numbers increase in value from left to right < Owe Below Loss Debt Above Gain.

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Adding and Subtracting Integers

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Presentation transcript:

Add & Subtract Integers Need two highlighters

0 Positive Negative 5- 5 Numbers increase in value from left to right < Owe Below Loss Debt Above Gain Received Increase

Write an integer for each situation Example 1) The diver dove 150 ft. Example 2) The distance between home and school is 15 miles. Example 3) The customer owes $

Absolute value Symbol - X-X Definition - 4 = 4 The distance from zero. Distance is always Two parallel bars with an integer in between. ● 4 0 ─ 4 = 4 ● ─ 4 4 spaces positive Find the absolute value of 4 and -4

Give the opposite of each integer Example 4) 16 Example 5) -91 Example 6) - 6/3Example 7) 0 Find the absolute Value Example 8) │16│ Example 9) -│10│ Example 10) │- 6│Example 11) -│-1│ /

3 + 2 = 5 use a number line to add integers Positive sign means to go right. + If there is no sign it is _________ positive + or = 5

3 – 2 = + Negative sign means to go _____. Go right Go left left Strategy – Highlight positive one color and negatives a different color use a number line to subtract integers to subtract integers – we add the opposite 3 + ( ─ 2) =1 + or = 1

─ 2 = -1 = -5 Numbers were subtracted Numbers were added Different colors subtract Same color add = ─ 2 EX 12) EX 13)

We have proved = 5 3 – 2 = 1 ++ Signs alike add +─ Signs different subtract Not in Notes

For larger numbers we can use symbols = +5 7 Negatives - 12 Positives A negative and positive charge cancel each other out Not in Notes

- 12 Same Different = 19 + Add 7 + subtract - 7 Add = -5 = = 5 subtract ADD /SUBTRACT RULES 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 – ─ 7 12 = () ─ ─ 7 = () ── ─ + Left 7Right 12 Add the opposite + 5

Sort the following into addition or subtraction problems (-6) (-6) -5 – (+6) -5 – (-6) -5 + (6)

Essential Question How are adding and subtracting integers similar?

Notes start here

Add & Subtract Integers Date ____________

Numbers _________ in value from left to right

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 Symbol - Definition - The _________ from zero. Distance is always _______ ___________ bars with a number in between. 0 Find the absolute value of 4 and -4

Give the opposite of each integer Example 7) 16 Example 8) -91 Example 9) - 6/3Example 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 _________

Negative sign means to go _____. Strategy – Highlight positive one color and negatives a different color use a number line to subtract integers to subtract integers –

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 AddSubtract

Essential Question How are adding and subtracting integers similar?