6.4 Adding Integers That Are Far from Zero DON: Add integen with and without motels. 1. Write the arithmetic statement for each modal shown below. Write the final sum. The first one is done for you. a) d) b) e) c) 2. Use the number lines to add these integers. a) (-3)+(-1)= b) 1+4)+(+3)= c) (-3)+(-4)= d) (+7)+(-infty)= e) (-2)+(+9)= f) (3)+(-2)+(-2)= 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) (+54)+(-30)= e) (-100)+(-20)= f) (-100)+(-25)= Ai-Home Help When acting numbers that are not ideas to reto, use a number line to help you follow these Dras an arrow from more to the firm number. For example. 1-35i can be represented by an arnose 30 units using a tertiog an arrow. 30 units into the top of the first 2. Starting from the top of the first arrow, a second arrow to represent the second number For example, it can be represented by an nigh. 4 units reptesents the arnowe. In this exampie, (-35)+(-4)=(-31 d) (+7)+(-8)= e) (-2)+(-9)= f) (-3)+(-2)+(-2)= 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) (+54)+(-30)= f) (-100)+(-25)= A. Home Help When adding numbers that are not ideas to reto, use a number line to help you follow these time. D. Draw an arrow from more to the first number. For example, if one is to find a second errove to the second number. For example, if (48) the first 4 units to the second orrwo represents the answer. In this example, (-38)+(-42)=(-311

Question

6.4 Adding Integers That Are Far from Zero DON: Add integen with and without motels. 1. Write the arithmetic statement for each modal shown below. Write the final sum. The first one is done for you. a) d) b) e) c) 2. Use the number lines to add these integers. a) (-3)+(-1)= b) 1+4)+(+3)= c) (-3)+(-4)= d) (+7)+(-infty)= e) (-2)+(+9)= f) (3)+(-2)+(-2)= 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) (+54)+(-30)= e) (-100)+(-20)= f) (-100)+(-25)= Ai-Home Help When acting numbers that are not ideas to reto, use a number line to help you follow these Dras an arrow from more to the firm number. For example. 1-35i can be represented by an arnose 30 units using a tertiog an arrow. 30 units into the top of the first 2. Starting from the top of the first arrow, a second arrow to represent the second number For example, it can be represented by an nigh. 4 units reptesents the arnowe. In this exampie, (-35)+(-4)=(-31 d) (+7)+(-8)= e) (-2)+(-9)= f) (-3)+(-2)+(-2)= 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) (+54)+(-30)= f) (-100)+(-25)= A. Home Help When adding numbers that are not ideas to reto, use a number line to help you follow these time. D. Draw an arrow from more to the first number. For example, if one is to find a second errove to the second number. For example, if (48) the first 4 units to the second orrwo represents the answer. In this example, (-38)+(-42)=(-311

Answer 1

### Part 2:- a) \( (-3) + (-1) = -4 \)- b)

- c) \( (-3) + (-4) = -7 \)- d) Undefined (infinity involved)- e) \( (-2) + (+9) = 7 \)- f) \( 3 + (-2) + (-2) = -1 \)### Part 3:- a) \( (-45) + (+30) = -15 \)- b) \( (-45) + (-30) = -75 \)- c) \( (+45) + (-30) = 15 \)- d) \( (+54) + (-30) = 24 \)- e) \( (-100) + (-25) = -125 \)

Answer 2

## Step 1: Clarify the problem### The task involves adding integers, some of which are negative, and interpreting results using number lines or integer counters. We will solve each part step-by-step.---## Step 2: Solve Part 2 (Using number lines to add integers)### a) \( (-3) + (-1) \)- Adding two negative numbers means moving further left on the number line.- Calculation: \( -3 + (-1) = -4 \).### b)

- Adding positive numbers means moving right on the number line.- Calculation:

.### c) \( (-3) + (-4) \)- Adding two negative numbers again moves further left.- Calculation: \( -3 + (-4) = -7 \).### d) \( (+7) + (-\infty) \)- Adding or subtracting infinity is undefined in arithmetic.- Result: Undefined.### e) \( (-2) + (+9) \)- Adding a positive number to a negative number involves moving right from the negative position.- Calculation:

.### f) \( 3 + (-2) + (-2) \)- Add \( 3 + (-2) = 1 \), then \( 1 + (-2) = -1 \).- Final result:

.---## Step 3: Solve Part 3 (Adding integers with visualization)### a) \( (-45) + (+30) \)- Adding a positive number to a negative number involves moving right.- Calculation:

.### b) \( (-45) + (-30) \)- Adding two negative numbers moves further left.- Calculation: \( -45 + (-30) = -75 \).### c) \( (+45) + (-30) \)- Adding a negative number to a positive number involves moving left.- Calculation: \( 45 + (-30) = 15 \).### d) \( (+54) + (-30) \)- Adding a negative number to a positive number involves moving left.- Calculation: \( 54 + (-30) = 24 \).### e) \( (-100) + (-25) \)- Adding two negative numbers moves further left.- Calculation: \( -100 + (-25) = -125 \).---

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