Adding Negative and Positive Integers Explained

The video tutorial by Mr. J explains how to add a negative integer and a positive integer. It covers two examples: -9 + 7 and -4 + 10, demonstrating two methods for solving each. The first method involves using absolute values to find the difference and determine the sign of the result. The second method uses mental math to understand the increase in value when adding a positive integer. The video concludes with a recap of the methods and emphasizes understanding the starting point and the direction of value change.

What is the first step in adding integers with different signs?

• Find the absolute values and subtract

• Multiply the two numbers

• Divide the two numbers

• Add the numbers as usual

What does the absolute value of a number represent?

• Its minimum value

• Its maximum value

• Its distance from 0

• Its distance from 1

In the example of -9 + 7, what is the final answer?

• 16

• -16

• 2

• -2

How do we determine the sign of the answer when adding integers with different signs?

• The sign of the number with the greater absolute value

• It's always negative

• The sign of the number with the lesser absolute value

• It's always positive

What is the importance of absolute values in adding integers with different signs?

• To determine the multiplication result

• To find the difference between the numbers

• To add the values directly

• To divide the numbers

In the method using absolute values, what do we do after finding the difference?

• Subtract the lesser absolute value from the greater

• Add the absolute values

• Multiply the absolute values

• Assign the sign of the original greater absolute value

When adding a positive number to a negative, what happens to the value?

• It remains the same

• It becomes zero

• It decreases

• It increases

What mental math approach is suggested for adding integers?

• Considering the starting point and the change in value

• Thinking in terms of subtraction

• Dividing the integers

• Multiplying the integers

What is the result of -4 + 10?

• 6

• -6

• 14

• -14

What is the final step in the mental math approach for adding integers?

• Subtracting the numbers

• Determining the starting point and the change

• Multiplying the integers

• Identifying the end value and its sign