Math in the Workplace Negative numbers
Adding Signed Numbers If the signs are the same, add the numbers and keep the sign. (-4)+(-10)= -14 4+10=14 If the signs are opposite, subtract the numbers and keep the sign of the number with the highest value. (-4)+10=6 4+(-10)= -6
Subtracting Signed Numbers First, change the problem from subtraction to addition. Then change the sign of the 2nd number. (or Add the opposite) (-4) – (-10)= (-4) +(+10)= (-4) – (+10)= (-4) + (-10)= Then, add the signed numbers as usual. (-4) +(+10)= 6 (-4) + (-10)= -16
Adding/Subtracting on the number line 3+5=8 -4+5=1 -9+5=-4 9-7=2 or 9 + (-7) = 2 3-7=-4 or 3 + (-7) = -4 -1-7=-8 or -1 + (-7) = -8
Multiplying and Dividing Signed Numbers When multiplying and dividing, the rules are the same: If the signs are the same, the answer is positive. (-4) x (-2) = 8 4 x 2 = 8 (-4)/(-2) = 2 4/2 = 2 If the signs are opposite, the answer is negative. (-4) x (2) = -8 (4) x (-2) = -8 (-4) / 2 = -2 4 / (-2) = -2
Multiplying on a number line (-2) x 4= (-8) (-4)x2= -8 4 x 2= 8 2 x 4 = 8 (-2)+(-2)+(-2)+(-2)= (-8) (-4) + (-4) = (-8) 4 + 4 = 8 2 + 2 + 2 + 2 = 8 If the multiplier is negative, go the opposite way (-2) x (-4)= 8 2 x (-4)= (-8)
Dividing on a Number Line video