3. Add. Visualize a set of integer counters or a number line to help you. a) (-45)+(+30)= b) (-45)+(-30)= c) (+45)+(+30)= d) (+45)+(-30)= f) (-100)+(+25)= g) (+100)+(+25)= h) (+100)+(-25)= i) (-68)+(+34)= j) (-25)+(-40)+(+15)= __ k) (+50)+(-30)+(-40)= __ I) (+150)+(-75)+(-150)= __ e) (-100)+(-25)=

## Step 1: Adding Integers with Different Signs<br />### When adding integers with different signs, subtract the smaller absolute value from the larger absolute value, and the result takes the sign of the integer with the larger absolute value.<br /><br />## Step 2: Adding Integers with the Same Sign<br />### When adding integers with the same sign, add their absolute values, and the result takes the common sign.<br /><br />## Step 3: Applying the Rules to the Given Problems<br />### We apply the rules from Steps 1 and 2 to each problem.<br /><br />a) $(-45) + (+30) = -15$<br />b) $(-45) + (-30) = -75$<br />c) $(+45) + (+30) = 75$<br />d) $(+45) + (-30) = 15$<br />e) $(-100) + (-25) = -125$<br />f) $(-100) + (+25) = -75$<br />g) $(+100) + (+25) = 125$<br />h) $(+100) + (-25) = 75$<br />i) $(-68) + (+34) = -34$<br />j) $(-25) + (-40) + (+15) = -50$<br />k) $(+50) + (-30) + (-40) = -20$<br />l) $(+150) + (-75) + (-150) = -75$