Absolute Value/Integers

Integers/Absolute Value Four friends are waiting in line at a deli. Lisa is in front of Sam. Sam is behind Gary and in front of Maria. Gary is first. In what order are they waiting?

Integers/Absolute Value Integer = set of positive #’s, negative #’s, and zero. Positive Integers = whole #’s greater than zero. Negative Integers = whole #’s less than zero. Opposite Numbers = two #’s that are the same distance from zero but on opposite sides of zero on a number line. Absolute Value = total distance from zero on a # line.

Integers/Absolute Value │3│ = │-144│ = │- 8│ = │62│ = │25│ = │- 91│ = │- 1│ = │5│ = │77│ = │- 13│ =

Integers/Absolute Value I will point to a number, if it is an integer you will say yes and then state its opposite. If not, say no. - 25 78 1.45 ¼ 2 33 - 453 4.8 54 - 47 ½ 4.56 -789 15.8 4 7.586 - 1127 47 ¾ - 89

Integers/Absolute Value Use a greater than, less than, or equal sign to show the relation between the following integers: +12 +4 -23 +2 -3 -24 0 +6

Integers/Absolute Value Order the following integers from least to greatest: +4, 0, -3, -5 -5, -10, -12, -8 0, +5, +8, +17

Look at your card, now go around the room and find your opposite #. Quiz Look at your card, now go around the room and find your opposite #. Look at your number, now as a class, form a number line that shows the values from least to greatest.

Adding Integers Red and yellow chips Number lines Army men Face cards…

Subtracting Integers Robert’s checkbook balance was $15. He deposited $20, wrote a check for $25, and deposited $12. What was his balance after these transactions?

Subtracting Integers + - ? 1st Integer 2nd Integer Answer + Subtract the absolute values (sign remains positive) - Subtract the absolute values (sign remains negative) ? Add the absolute values (sign matches the integer with the greater absolute value.) Subtintegers is the same as adding the opposite.

Subtracting Integers +4 - +9 = 8 – (-3) = +5 – (-7) = - 9 – (+2) = *** You can also use the other methods we talked about like: - Red and Yellow Counting Chips -Number lines -Army Men - Hot and Cold Cubes -Thermometers -Money - Gains and Losses - Deposits and Withdrawals +4 - +9 = 8 – (-3) = +5 – (-7) = - 9 – (+2) =

Subtracting Integers +4 - +9 = - 8 – (-3) = +5 – (-7) = - 9 – (+2) = 0 – (-6) = +2 - +7 = - 3 – (-4) = +5 – (-6) = - 8 – (+9) = 0 – +1 =

Quiz +5 - +7 = +2 – (-8) = +4 – (-3) = - 9 – (+6) =

Multiplying/Dividing Integers James bought a painting for $144. The cost was 3/5 the original price of the painting. What was the original price of the painting?

Multiplying/Dividing Integers +2 x -3 This means to add 2 groups of -3 to zero.

Multiplying/Dividing Integers -2 x +3 This means to remove 2 groups of +3 from zero. Start with 0. Use pairs of yellow and red counters to show 0. Then remove 2 groups of 3 yellow counters.

Multiplying/Dividing Integers -12 ÷ +4 This means to remove 2 groups of +3 from zero. Start with 0. Use pairs of yellow and red counters to show 0. Then remove 2 groups of 3 yellow counters.

Multiplying/Dividing Integers -8 ÷ -2 This means to remove 2 groups of +3 from zero. Start with 0. Use pairs of yellow and red counters to show 0. Then remove 2 groups of 3 yellow counters.

Multiplying/Dividing Integers 1st Integer 2nd Integer Answer + - Temporarily ignore the signs and multiply or divide like normal. 2) Look back at the original signs to determine the sign of the answer. - If the signs match the answer will be positive. - If the signs do not match the answer will be negative.

-4 x -6 -7 x +10 +8 x -2 +5 x +3 -54 x 0 -36 ÷ -6 -15 ÷ +3 +54 ÷ -9 Quiz -4 x -6 -7 x +10 +8 x -2 +5 x +3 -54 x 0 -36 ÷ -6 -15 ÷ +3 +54 ÷ -9 +12 ÷ +3 -54 ÷ 1