Adding and Subtracting Integers: A Step-By-Step Review | How to Add and Subtract Integers

Summary

In this educational video, Mr. J teaches how to add and subtract integers, focusing on both positive and negative numbers. He explains two methods for each operation: one using absolute values and the other a mental math approach. For addition, with different signs, you take the greater absolute value, subtract the smaller, and the result takes the sign of the larger absolute value. For the same signs, you add the absolute values and keep the common sign. In subtraction, you add the opposite of the number being subtracted, which essentially increases the value. The video provides clear examples and encourages viewers to think about starting points and changes in value for better understanding.

Takeaways

• 📚 The video teaches how to add and subtract integers, focusing on both positive and negative numbers.
• 🔢 When adding integers with different signs, take the greater absolute value and subtract the lesser, then adopt the sign of the number with the greater absolute value.
• 📈 The absolute value represents the distance a number is from zero, which is crucial for adding integers with different signs.
• ➕ For adding integers with the same sign, simply add their absolute values and keep the common sign.
• 🤔 A mental math approach is suggested for adding integers, which involves thinking about the starting point and the change in value.
• ➖ When subtracting integers, the process is effectively adding the opposite of the number being subtracted.
• 💡 Subtracting a negative is akin to removing a debt or expense, which increases the value and results in a positive outcome.
• 🔄 The concept of 'opposite' is important in subtraction; the opposite of a negative number is positive, and vice versa.
• 📉 Subtracting a positive number is like decreasing in value, which results in a more negative outcome when starting with a negative number.
• 🔗 Additional resources for learning how to add and subtract integers are provided in the video description for further assistance.

Q & A

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

The first step is to determine the signs of the integers and take the greater absolute value, then subtract the lesser absolute value.

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

The answer takes the sign of the integer with the greater absolute value.

What is the mental math approach to adding integers with different signs?

You can think of it as starting at the positive integer and decreasing in value by the absolute value of the negative integer.

What happens when you add two negative integers?

When adding two negative integers, you add their absolute values and the result takes the same sign, which is negative.

How do you calculate the sum of negative 8 and negative 10?

You add the absolute values (8 + 10 = 18) and since both integers are negative, the result is negative 18.

What is the rule for subtracting integers?

When subtracting integers, you add the opposite of the integer you are subtracting.

Why does subtracting a negative integer result in a positive value?

Subtracting a negative integer is equivalent to adding its positive counterpart, which increases the value.

How do you interpret the subtraction of a negative number in terms of money?

Subtracting a negative number can be thought of as removing a debt or expense, which is a positive action in terms of money.

What is the result of subtracting 20 from negative 3?

You add the opposite of 20 (which is negative 20) to negative 3, resulting in negative 23.

What additional resources does Mr. J provide for further help with integer operations?

Mr. J provides links to more videos and examples in the description of the video for further assistance.