Work Exercise 2: 1. Draw a number line and show the following additions on it. i. 6+(-2) ii. (-2)+(-3) iii. (-149)+(-311) 4. Write the additive inverse of the following integers. i. 17 iii. (-101) 5. Write any two integers. i. 6+(-8) iii. (-12)+11

Here are the solutions to the problems: Work Exercise 2 1. Draw a number line and show the following additions on it. i) 6 + (-2) Step 1: Start at 6 on the number line. Step 2: Since you are adding -2, move 2 units to the left from 6. Step 3: You will land on 4. 6 + (-2) = 4 The final answer is 4 ii) (-2) + (-3) Step 1: Start at -2 on the number line. Step 2: Since you are adding -3, move 3 units to the left from -2. Step 3: You will land on -5. (-2) + (-3) = -5 The final answer is -5 iii) (-149) + (-311) Step 1: When adding two negative integers, add their absolute values and keep the negative sign. Step 2: Add 149 and 311. 149 + 311 = 460 Step 3: Apply the negative sign. (-149) + (-311) = -460 The final answer is -460 2. Find the successors of the following integers by adding 1 to the integer. i) -7 Step 1: To find the successor, add 1 to the integer. -7 + 1 = -6 The final answer is -6 ii) 12 Step 1: To find the successor, add 1 to the integer. 12 + 1 = 13 The final answer is 13 iii) -54 Step 1: To find the successor, add 1 to the integer. -54 + 1 = -53 The final answer is -53 3. Add the following integers by the rules of addition. i) (-616) + 210 Step 1: When adding integers with different signs, subtract the smaller absolute value from the larger absolute value. | -616 | - | 210 | = 616 - 210 = 406 Step 2: The result takes the sign of the integer with the larger absolute value, which is -616. (-616) + 210 = -406 The final answer is -406 ii) 596 + (-76) Step 1: Subtract the smaller absolute value from the larger absolute value. | 596 | - | -76 | = 596 - 76 = 520 Step 2: The result takes the sign of the integer with the larger absolute value, which is 596. 596 + (-76) = 520 The final answer is 520 4. Write the additive inverse of the following integers. i) 17 Step 1: The additive inverse of an integer is the number that, when added to the integer, results in zero. It is the integer with the opposite sign. Step 2: The additive inverse of 17 is -17. The final answer is -17 iii) (-101) Step 1: The additive inverse of an integer is the number with the opposite sign. Step 2: The additive inverse of -101 is 101. The final answer is 101 5. Write any two integers and add them. i) 6 + (-8) Step 1: Subtract the smaller absolute value from the larger absolute value. | -8 | - | 6 | = 8 - 6 = 2 Step 2: The result takes the sign of the integer with the larger absolute value, which is -8. 6 + (-8) = -2 The final answer is -2 iii) (-12) + 11 Step 1: Subtract the smaller absolute value from the larger absolute value. | -12 | - | 11 | = 12 - 11 = 1 Step 2: The result takes the sign of the integer with the larger absolute value, which is -12. (-12) + 11 = -1 The final answer is -1 Drop the next question! 📸