Adding and Subtracting Negative Integers Worksheet
Are you struggling with understanding how to add and subtract negative integers? Look no further! We have created a comprehensive worksheet designed to help you practice and reinforce your skills with adding and subtracting negative integers. Whether you are a student learning these concepts for the first time or a teacher looking for a resource to supplement your lesson, this worksheet is perfect for honing your skills in this challenging topic.
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What is the result when you add a positive integer and a negative integer?
When you add a positive integer and a negative integer, the result will depend on the magnitude of the numbers. If the positive integer has a greater absolute value than the negative integer, the result will be positive. Conversely, if the negative integer has a greater absolute value than the positive integer, the result will be negative.
When you subtract a positive integer from a negative integer, is the answer positive or negative?
When you subtract a positive integer from a negative integer, the answer is negative.
Can you provide an example of adding two negative integers?
Certainly! An example of adding two negative integers is -5 + (-3) = -8. In this case, both negative values are being combined by applying the rule of adding integers with the same signs by simply adding their absolute values together and retaining the negative sign of the sum.
Is the result of adding two negative integers always negative? Why or why not?
Yes, the result of adding two negative integers is always negative. This is because when you add two negative numbers, you are essentially combining their magnitudes while keeping the negative sign. Both numbers are moving in the same direction on the number line (away from zero), so their sum will continue in that same direction, resulting in a larger negative number.
When you subtract a negative integer from a positive integer, is the answer positive or negative?
When you subtract a negative integer from a positive integer, the answer is positive. This is because subtracting a negative integer is the same as adding a positive integer, which results in a larger positive value.
Can you give an example of subtracting a positive integer from a negative integer?
Sure! An example of subtracting a positive integer from a negative integer is -5 - 3. This can be calculated by first recognizing that subtracting a positive integer is the same as adding its negative, giving us -5 + (-3), which equals -8. So, -5 - 3 equals -8.
Is the result of subtracting a positive integer from a negative integer always negative? Why or why not?
Yes, the result of subtracting a positive integer from a negative integer is always negative. This is because when you subtract a positive number from a negative number, the negative number will increase in magnitude, leading to a more negative result. The difference between a negative number and a positive number will always result in a negative number.
What happens when you add or subtract a positive or negative integer from zero?
When you add a positive integer to zero, the result is the same as the positive integer. When you subtract a positive integer from zero, the result is the negative of that integer. Adding a negative integer to zero is the same as subtracting the positive of that integer from zero, resulting in a negative integer. Subtracting a negative integer from zero is the same as adding the positive of that integer to zero, resulting in a positive integer.
When adding or subtracting negative integers, what does the sign of the answer indicate?
When adding or subtracting negative integers, the sign of the answer indicates the direction of the result. If the answer is positive, it indicates a movement to the right (or upward on a number line), while a negative answer indicates a movement to the left (or downward on a number line).
How can you use number lines or counters to help with adding and subtracting negative integers?
Number lines can be used to visualize adding and subtracting negative integers by moving left on the number line for subtraction and right for addition. Each step to the left or right represents an increase or decrease of 1. Counters or tokens can also be used to physically represent positive or negative values, with positives moving to the right and negatives moving to the left. By using these visual aids, individuals can better understand the concept of adding and subtracting negative integers by seeing the movement on the number line or the arrangement of counters in relation to zero.
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