Solve G-B+K Using Number Line: Finding 1-(-4)+5

Q: What's the rule for subtracting negative numbers?

The key rule is: subtracting a negative equals adding a positive. So $ -(-x) = +x $. Think of it as "two negatives make a positive"!

Q: Should I work left to right or follow order of operations?

For this expression $ G - B + K $, work left to right since subtraction and addition have equal priority. First do G - B, then add K to that result.

Q: How can I check if my answer of 10 is correct?

Substitute the values: $ 1 - (-4) + 5 = 1 + 4 + 5 = 5 + 5 = 10 $. You can also verify by counting steps on the number line!

Number Line Operations with Negative Numbers

Solve according to the axis

$G-B+K=$

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve according to the axis

$G-B+K=$

Step-by-step solution

We will locate on the number line the letters and place them accordingly:

$G=1$

$B=-4$

$K=5$

Therefore:

$1-(-4)+5=$

We recall the rule:

$-(-x)=+x$

Now we get:

$1+4+5=$

$5+5=10$

Final Answer

Key Points to Remember

Essential concepts to master this topic

Reading the Number Line: Identify each point's value by matching letters to numbers
Negative Signs: G - B becomes 1 - (-4) = 1 + 4
Verification: Check final calculation: 1 + 4 + 5 = 10 ✓

Common Mistakes

Avoid these frequent errors

Treating subtraction of negative as regular subtraction
Don't calculate 1 - (-4) as 1 - 4 = -3! The double negative rule states that subtracting a negative number becomes addition. Always remember: minus a negative equals plus positive, so 1 - (-4) = 1 + 4.

Practice Quiz

Test your knowledge with interactive questions

All negative numbers appear on the number line to the left of the number 0.

FAQ

Everything you need to know about this question

Why does G - B become 1 - (-4) instead of 1 - 4?

Because point B is located at -4 on the number line, not +4. When you subtract B, you're subtracting the value -4, which creates the expression 1 - (-4).

What's the rule for subtracting negative numbers?

The key rule is: subtracting a negative equals adding a positive. So $-(-x) = +x$ . Think of it as "two negatives make a positive"!

How do I read values from the number line accurately?

Look directly below each letter to find its corresponding number. In this problem: G = 1, B = -4, and K = 5.

Should I work left to right or follow order of operations?

For this expression $G - B + K$ , work left to right since subtraction and addition have equal priority. First do G - B, then add K to that result.

How can I check if my answer of 10 is correct?

Substitute the values: $1 - (-4) + 5 = 1 + 4 + 5 = 5 + 5 = 10$ . You can also verify by counting steps on the number line!

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Signed Numbers (Positive and Negative) questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime