Solve (+567) - (-69): Step-by-Step Signed Number Operations

Q: Why does subtracting a negative become addition?

Think of it like removing debt! If you owe someone -$69 (negative debt), removing that debt is the same as gaining +$69. So subtracting -69 equals adding +69.

Q: How do I remember the double negative rule?

Use the phrase "minus a minus makes a plus" or think of it as two negatives cancel out, just like in grammar: "I don't have no money" means "I have money."

Q: What if the first number was negative too?

The same rule applies! For example: $ (-20) - (-5) = -20 + 5 = -15 $. Always change subtraction of negative to addition of positive.

Q: Can I just ignore the parentheses?

Never ignore parentheses! They show you exactly what operation to perform. $ (+567) - (-69) $ is very different from $ 567 - 69 $.

Q: How can I check my work without a calculator?

Use column addition like in the solution! Line up 567 and 69 vertically, add each column from right to left: 7 + 9 = 16 (write 6, carry 1)6 + 6 + 1 = 13 (write 3, carry 1)5 + 0 + 1 = 6Result: 636 ✓

Integer Operations with Double Negatives

$(+567)-(-69)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Negative times negative is always positive, so we'll multiply

00:08 We will use long multiplication for calculation

00:15 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$(+567)-(-69)=$

Step-by-step solution

Let's remember the rule:

$-(-x)=+x$

Now let's write the exercise in the appropriate form:

$567+69=$

Let's solve the exercise vertically:

$567\\+69\\636$

Final Answer

$636$

Key Points to Remember

Essential concepts to master this topic

Rule: Subtracting a negative number becomes addition
Technique: Change (+567) - (-69) to 567 + 69
Check: Verify 567 + 69 = 636 using column addition ✓

Common Mistakes

Avoid these frequent errors

Treating double negatives as subtraction
Don't calculate (+567) - (-69) as 567 - 69 = 498! This ignores the rule that subtracting a negative equals addition. Always remember: minus a negative becomes plus positive.

Practice Quiz

Test your knowledge with interactive questions

a is negative number.

b is negative number.

What is the sum of a+b?

FAQ

Everything you need to know about this question

Why does subtracting a negative become addition?

Think of it like removing debt! If you owe someone - $69 (negative debt), removing that debt is the same as gaining +$ 69. So subtracting -69 equals adding +69.

How do I remember the double negative rule?

Use the phrase "minus a minus makes a plus" or think of it as two negatives cancel out, just like in grammar: "I don't have no money" means "I have money."

What if the first number was negative too?

The same rule applies! For example: $(-20) - (-5) = -20 + 5 = -15$ . Always change subtraction of negative to addition of positive.

Can I just ignore the parentheses?

Never ignore parentheses! They show you exactly what operation to perform. $(+567) - (-69)$ is very different from $567 - 69$ .

How can I check my work without a calculator?

Use column addition like in the solution! Line up 567 and 69 vertically, add each column from right to left:

7 + 9 = 16 (write 6, carry 1)
6 + 6 + 1 = 13 (write 3, carry 1)
5 + 0 + 1 = 6

Result: 636 ✓

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