Solve 0·(19-1)+2: Order of Operations Practice

Q: Why do I solve the parentheses first even though there's multiplication before it?

In PEMDAS, parentheses come before everything else! Even if multiplication appears first when reading left to right, you must solve $ (19-1) $ before doing any other operations.

Q: Does it matter that we're multiplying by zero?

Yes! The zero property means any number times zero equals zero. So $ 0 \times 18 = 0 $, which makes our calculation much simpler.

Q: What if I accidentally did 0×19 first instead of solving parentheses?

You'd get the wrong answer! Working left to right gives 0×19 = 0, then 0-1 = -1, then -1+2 = 1. But the correct answer is 2 because parentheses must be solved first.

Q: How can I remember the order of operations?

Use PEMDAS: Please Excuse My Dear Aunt Sally. This reminds you: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Q: Why is the answer 2 and not 0?

Because we add 2 at the end! The multiplication $ 0 \times 18 = 0 $, but then we still have $ 0 + 2 = 2 $. Don't forget about that final addition step.

Order of Operations with Zero Multiplication

Solve the following exercise:

$0\cdot(19-1)+2=$

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Solve the following exercise:

$0\cdot(19-1)+2=$

Step-by-step solution

According to the order of operations rules, we first solve the expression in parentheses:

$19-1=18$

We obtain the following expression:

$0\times18+2=$

We insert the multiplication expression into parentheses:

$(0\times18)+2=$

We solve the expression in parentheses and then combine:

$0\times18=0$

$0+2=2$

Final Answer

$2$

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Always solve parentheses first, then multiplication and addition
Zero Property: Any number multiplied by zero equals zero: $0 \times 18 = 0$
Check: Substitute back: $0 \cdot (19-1) + 2 = 0 + 2 = 2$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right instead of following PEMDAS
Don't solve 0·19 first = 0, then subtract 1 and add 2 for wrong answer 1! This ignores parentheses priority and multiplication rules. Always solve parentheses first: (19-1) = 18, then multiply: 0×18 = 0, finally add: 0+2 = 2.

Practice Quiz

Test your knowledge with interactive questions

$$ 0+0.2+0.6= $$ ?

FAQ

Everything you need to know about this question

Why do I solve the parentheses first even though there's multiplication before it?

In PEMDAS, parentheses come before everything else! Even if multiplication appears first when reading left to right, you must solve $(19-1)$ before doing any other operations.

Does it matter that we're multiplying by zero?

Yes! The zero property means any number times zero equals zero. So $0 \times 18 = 0$ , which makes our calculation much simpler.

What if I accidentally did 0×19 first instead of solving parentheses?

You'd get the wrong answer! Working left to right gives 0×19 = 0, then 0-1 = -1, then -1+2 = 1. But the correct answer is 2 because parentheses must be solved first.

How can I remember the order of operations?

Use PEMDAS: Please Excuse My Dear Aunt Sally. This reminds you: Parentheses, Exponents, Multiplication/Division (left to right), Addition/Subtraction (left to right).

Why is the answer 2 and not 0?

Because we add 2 at the end! The multiplication $0 \times 18 = 0$ , but then we still have $0 + 2 = 2$ . Don't forget about that final addition step.

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