This worksheet is about integer addition and subtraction, and I can assist you with solving these problems. Let's break it down section by section:

Section 1: Integer Addition/Subtraction

This section asks you to calculate the results of several integer operations. Let's go through them one by one:

1. $(-25) + (-36)$

   • This is the addition of two negative numbers: $(-25) + (-36) = -61$.

2. $160 + (-254)$

   • Here you are adding a positive number to a negative number: $160 + (-254) = -94$.

3. $(-177) + 185$

   • Here you are adding a negative number to a positive number: $(-177) + 185 = 8$.

4. $(-23) + 23$

   • Adding a negative and its positive counterpart will give you zero: $(-23) + 23 = 0$.

Section 2: Number Line Problem

The question asks: "If point A is at -78 and moves 25 units to the right, which point B does it reach?"

To solve:

• Moving 25 units to the right from -78 means you're adding 25: $-78 + 25 = -53$
• Therefore, the answer is $b = -53$. (Option D).

Section 3: Repeated Subtraction of 5

This exercise asks you to subtract 5 repeatedly starting from 13, filling in the blanks:

• Starting from 13: $13 + (-5) = 8$
• Then: $8 + (-5) = 3$
• Then: $3 + (-5) = -2$
• Finally: $-2 + (-5) = -7$

Thus, the sequence is $13 \rightarrow 8 \rightarrow 3 \rightarrow -2 \rightarrow -7$.

Would you like any further explanation or details on these solutions?

Related Questions:

1. How do you handle subtraction of negative numbers?
2. What is the general rule when adding a positive number and a negative number?
3. What is the significance of a number line for visualizing integer addition and subtraction?
4. Why does adding opposites like $(-23) + 23$ result in zero?
5. What is the difference between moving left and right on the number line when adding integers?

Tip:

When adding two numbers with different signs, subtract their absolute values and give the result the sign of the number with the larger absolute value.