Integers Adding Integers Integers are the set of positive whole Same signs: The sum of two positive numbers, their opposites, and zero. integers is positive. The sum of two negative -5. -4. -3. -2. -1. 0, -. integers is negative. …-6, 1, 2, 3, 4, 5, 6… a gain of 5 pounds = 5 3 + 7 = 10 -3 + (-7) = -10 sea level = 0 Different signs: Find the absolute value of a debt of $50 = -50 each integer. Subtract the lesser absolute Opposites are two numbers that are the value from the greater. The sum has the sign same distance from 0 on a number line but in of the integer with the greater absolute opposite directions The opposite of 0 is 0. value. The opposite of -5 is 5; opposite of 3 is -3. 4 + (-9) The absolute value of a number is its 4 = 4, -9 = 9 Find the absolute values. distance from 0 on a number line. The 9 4 = 5 Subtract the absolute values. – symbol for absolute value is n . Opposite 4 + (-9) = -5 The sum is negative. numbers have the same absolute value. Since -17 is 17 units from 0, -17 = 17. -6 + 7 Since 76 is 76 units from 0, 76 = 76. -6 = 6, 7 = 7 Find the absolute values. 7 6 = 1 Subtract the absolute values. – -6 + 7 = 1 The sum is positive. Subtract Integers (1104) Use a number line to find 4 (-4). – Start at 0. Move forward 4 units for 4. For subtraction, turn around. Move backwards 4 units for -4. Stop at 8. 4 (-4) = 8 – You subtract an integer by adding its opposite. (KO+) Keep the first integer and add the opposite of the second integer. -8 (-10) –
Integers Integers are the set of positive whole numbers, their opposites, and zero. …-6, -5. -4. -3. -2. -1. 0, -. 1, 2, 3, 4, 5, 6… a gain of 5 pounds = 5 sea level = 0 a debt of $50 = -50 Opposites are two numbers that are the same distance from 0 on a number line but in opposite directions The opposite of 0 is 0. The opposite of -5 is 5; opposite of 3 is -3. The absolute value of a number is its distance from 0 on a number line. The symbol for absolute value is n . Opposite numbers have the same absolute value. Since -17 is 17 units from 0, -17 = 17. Since 76 is 76 units from 0, 76 = 76. Adding Integers Same signs: The sum of two positive integers is positive. The sum of two negative integers is negative. 3 + 7 = 10 -3 + (-7) = -10 Different signs: Find the absolute value of each integer. Subtract the lesser absolute value from the greater. The sum has the sign of the integer with the greater absolute value. 4 + (-9) 4 = 4, -9 = 9 Find the absolute values. 9 – 4 = 5 Subtract the absolute values. 4 + (-9) = -5 The sum is negative. -6 + 7 -6 = 6, 7 = 7 Find the absolute values. 7 – 6 = 1 Subtract the absolute values. -6 + 7 = 1 The sum is positive. Subtract Integers (1104) Use a number line to find 4 – (-4). Start at 0. Move forward 4 units for 4. For subtraction, turn around. Move backwards 4 units for -4. Stop at 8. 4 – (-4) = 8 You subtract an integer by adding its opposite. (KO+) Keep the first integer and add the opposite of the second integer. -8 – (-10)
62c6GoKepLUQ7cehKuGnOFDDeFucbfAeMU26FwjYaI0DTV0F.docx