Q. \(-0,5 + 1,5 – 1,5\cdot 2 = -2,0\).

Q: What is the value of the expression -0{,}5 + 1{,}5 - 1{,}5\cdot 2 ?

Evaluate multiplication first: 1,5\cdot 2 = 3,0. Then -0,5 + 1,5 = 1,0. Finally 1,0 - 3,0 = -2,0. Answer: -2.

Q: What does the dot mean in 1,5\cdot 2?

The dot denotes multiplication, not a decimal point. So 1,5\cdot 2 means multiply 1.5 by 2, giving 3,0.

Q: Which order of operations applies here?

Use multiplication before addition/subtraction. Compute 1,5\cdot 2 first, then perform additions/subtractions left to right.

Q: How do you multiply a decimal by an integer (e.g., 1,5 \cdot 2)?

Multiply as integers: 15\cdot 2 = 30. Then place the decimal back (one decimal place) → 3,0.

Q: How do you add/subtract decimals with different signs (e.g., -0,5 + 1,5 )?

Compare absolute values: 0,5 vs 1,5. Subtract smaller from larger: 1,5-0,5=1,0. Keep sign of larger (positive) \to 1,0..

Answer

\( -0{,}5+1{,}5-1{,}5\cdot2 \)

\(1{,}5\cdot2=3\)

\(-0{,}5+1{,}5=1{,}0\)

\(1{,}0-3=-2\)

Final result: \( -2 \)

Detailed Explanation

Step-by-step solution

Write the expression clearly:
\(-0.5+1.5-1.5\cdot2\)
Follow the order of operations. Multiplication comes before addition and subtraction.
\(1.5\cdot2=3.0\)

This means \(1.5\) is doubled, so the result is \(3.0\).
Substitute \(3.0\) back into the original expression.
\(-0.5+1.5-3.0\)
Now add and subtract from left to right.
\(-0.5+1.5=1.0\)

A negative number plus a positive number can be handled by subtracting their absolute values. Since \(1.5\) is larger than \(0.5\), the result is positive.
Subtract the remaining term.
\(1.0-3.0=-2.0\)

The difference is \(2.0\), and the result is negative because \(3.0\) is larger than \(1.0\).
Final answer:
\(-0.5+1.5-1.5\cdot2=-2.0\)

This can also be written as \( -2 \).

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Arithmetic FAQs

What is the value of the expression \( -0{,}5 + 1{,}5 - 1{,}5\cdot 2 \)?

Evaluate multiplication first: \(1,5\cdot 2 = 3,0\). Then \( -0,5 + 1,5 = 1,0\). Finally \(1,0 - 3,0 = -2,0\). Answer: \(-2\).

What does the dot mean in \(1,5\cdot 2\)?

The dot denotes multiplication, not a decimal point. So \(1,5\cdot 2\) means multiply 1.5 by 2, giving \(3,0\).

Which order of operations applies here?

Use multiplication before addition/subtraction. Compute \(1,5\cdot 2\) first, then perform additions/subtractions left to right.

How do you multiply a decimal by an integer (e.g., \(1,5 \cdot 2\))?

Multiply as integers: \(15\cdot 2 = 30\). Then place the decimal back (one decimal place) → \(3,0\).

How do you add/subtract decimals with different signs (e.g., \( -0,5 + 1,5 \))?

Compare absolute values: \(0,5\) vs \(1,5\). Subtract smaller from larger: \(1,5-0,5=1,0\). Keep sign of larger (positive) \(\to 1,0\)..

Why is the final result negative?

What are common mistakes to avoid on problems like this?

Mistakes: reading the dot as a decimal point, ignoring order of operations, mishandling signs, or misplacing the decimal. Do multiplication first and track signs carefully..

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