Adding Two Numbers with Different Signs

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What does it mean when two numbers have different signs?

One number is positive and the other is negative.

How do you determine the sign of the result when adding two numbers with different signs?

The sign of the result is the sign of the number with the larger absolute value.

What is the result of adding 5 and -3?

The result is 2 because the positive number has a larger absolute value.

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

First, find the absolute values of both numbers.

What do you do after finding the absolute values when adding numbers with different signs?

Subtract the smaller absolute value from the larger absolute value.

What is the sum of -7 and 2?

The sum is -5 because the number with the larger absolute value is negative.

Why do you subtract the smaller absolute value from the larger one when adding numbers with different signs?

Because you are essentially finding the difference in magnitude between the two numbers.

Is the result of adding a positive number and a negative number always negative?

No, it depends on which number has the larger absolute value.

What is the result of adding -10 and 3?

The result is -7 because the negative number has a larger absolute value.

If the sum of a positive and a negative number is 0, what can you conclude about the absolute values of the numbers?

Their absolute values are equal.

How can visual aids like number lines help in adding numbers with different signs?

They can help you see the distance and direction from zero for each number.

What is the sum of 8 and -5?

The sum is 3 because the positive number has a larger absolute value.

Why is it important to keep track of signs when adding integers?

Because the sign affects the direction and magnitude of the result.

How can practice with adding numbers with different signs improve mathematical skills?

It reinforces understanding of absolute values and the concept of direction in math.

What is the sum of -15 and 20?

The sum is 5 because the positive number has a larger absolute value.





Test Your Knowledge

Select the correct option


1. What does it mean when two numbers have different signs?

One number is positive and the other is negative.

Both numbers are negative.

Both numbers are positive.

The numbers are both non-integers.

2. How do you determine the sign of the result when adding two numbers with different signs?

The sign of the result is the sign of the number with the larger absolute value.

The sign of the result is always positive.

The result is zero.

The sign of the result is the sign of the smaller number.

3. What is the result of adding 5 and -3?

The result is -2 because the negative number has a larger absolute value.

The result is 8 because both numbers add up directly.

The result is -8 because both numbers are integers.

The result is 2 because the positive number has a larger absolute value.

4. What is the first step in adding numbers with different signs?

First, find the absolute values of both numbers.

Add both numbers directly, ignoring their signs.

Convert all numbers to positive values.

Determine the product of the numbers.

5. What do you do after finding the absolute values when adding numbers with different signs?

Add the absolute values together.

Subtract the smaller absolute value from the larger absolute value.

Switch the signs of both numbers.

Multiply the absolute values of the numbers.

6. What is the sum of -7 and 2?

The sum is -5 because the number with the larger absolute value is negative.

The sum is 5 because both are positive when ignoring signs.

The sum is -5 because signs do not matter.

The sum is 9 regardless of signs.

7. Why do you subtract the smaller absolute value from the larger one when adding numbers with different signs?

Because the result is always zero.

Because this eliminates the negative sign.

Because you are essentially finding the difference in magnitude between the two numbers.

Because this adds the numbers together.

8. Is the result of adding a positive number and a negative number always negative?

No, it depends on which number has the larger absolute value.

Yes, adding them always results in a negative number.

No, if one number is even, it's positive.

Yes, because one is negative.

9. What is the result of adding -10 and 3?

The result is 7 because the positive number dominates.

The result is -7 because the negative number has a larger absolute value.

The result is 13 by combining values.

The result is 0 since they cancel each other.

10. If the sum of a positive and a negative number is 0, what can you conclude about the absolute values of the numbers?

Their absolute values are equal.

One is double the other.

They both are odd numbers.

They cancel each other regardless of signs.

11. How can visual aids like number lines help in adding numbers with different signs?

They provide the final sum directly.

They allow you to visualize incorrect sums.

They can help you see the distance and direction from zero for each number.

They can change the sign of numbers.

12. What is the sum of 8 and -5?

The sum is 3 because the positive number has a larger absolute value.

The sum is -13 by adding negatives.

The sum is zero when signs are ignored.

The sum is -3 since both numbers are integers.

13. Why is it important to keep track of signs when adding integers?

Because signs can make numbers much larger.

Because the sign affects the direction and magnitude of the result.

Because they determine if numbers are multiplied.

Because signs increase the overall sum automatically.

14. How can practice with adding numbers with different signs improve mathematical skills?

It helps memorize all equations.

It guarantees correct addition every time.

It reinforces understanding of absolute values and the concept of direction in math.

It replaces the need for visual aids.

15. What is the sum of -15 and 20?

The sum is -35 as negatives are always subtracted.

The sum is 35 because both are added.

The sum is 5 because the positive number has a larger absolute value.

The sum is 0 since they are intense opposites.