Question

which subtraction equation matches the number line?
-1 - 1.4 = 0.4
1 - 1.4 = 0.4
-1.4 - (-1) = 0.4
-1 - (-1.4) = 0.4

Explanation:

Step1: Analyze each equation

• For \(-1 - 1.4\): Calculate \(-1-1.4=-2.4

eq0.4\).

• For \(1 - 1.4\): Calculate \(1 - 1.4=-0.4

eq0.4\).

• For \(-1.4-(-1)\): Simplify to \(-1.4 + 1=-0.4

eq0.4\).

• For \(-1-(-1.4)\): Simplify to \(-1 + 1.4 = 0.4\), which matches the result.

Step2: Verify with number line logic

The number line likely represents a subtraction where subtracting a negative (equivalent to adding positive) gives the result. The equation \(-1-(-1.4)\) simplifies to \(0.4\), which is correct.

Answer:

\(-1 - (-1.4) = 0.4\) (the fourth option: \(-1 - (-1.4) = 0.4\))