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

Q: 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).

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: 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.

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

$G-B+K=$

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Step-by-step video solution

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Step-by-step written solution

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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

$$ 5 < -5 $$

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!

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