Evaluate 579×0:(100-99): Order of Operations Challenge

Q: Why does anything times zero always equal zero?

The zero property of multiplication states that any number multiplied by zero equals zero. Think of it this way: if you have 579 groups of nothing, you still have nothing!

Q: What if I calculated 579÷1 first instead?

That would break the order of operations! You must do multiplication and division from left to right, so 579×0 comes before dividing by (100-99).

Q: Does it matter that we're dividing zero by one at the end?

Yes! Zero divided by any non-zero number equals zero. Since (100-99)=1, we have $ 0 \div 1 = 0 $. This confirms our final answer.

Q: What if the parentheses had been (100-100) instead?

That would create a division by zero situation, which is undefined in mathematics! Always check that you're not dividing by zero in your final steps.

Q: How do I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). A helpful phrase is "Please Excuse My Dear Aunt Sally"!

Order of Operations with Zero Property

$579\times0:(100-99)=$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Solve

00:03 Always solve parentheses first

00:15 Any number multiplied by 0 is always equal to 0

00:24 0 divided by any number is always equal to 0

00:28 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

$579\times0:(100-99)=$

Step-by-step solution

To solve the problem $579 \times 0 \div (100 - 99)$ , follow these steps while applying the order of operations:

Step 1: Evaluate the expression inside the parentheses, $100 - 99$ . This simplifies to $1$ .
Step 2: Address the multiplication, $579 \times 0$ . According to the multiplication property of zero, this result is $0$ .
Step 3: Divide by the result inside the parentheses: $0 \div 1$ . Using the property of division, dividing zero by any non-zero number yields $0$ .

Therefore, the result of the expression is $\mathbf{0}$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

PEMDAS Rule: Parentheses first, then multiplication and division left to right
Zero Property: Any number multiplied by zero equals zero: $579 \times 0 = 0$
Check: Follow order: (100-99)=1, then 579×0=0, then 0÷1=0 ✓

Common Mistakes

Avoid these frequent errors

Ignoring the zero and calculating 579÷1 first
Don't skip the multiplication step and jump to 579÷1=579! This ignores the zero property completely and breaks order of operations. Always follow PEMDAS: parentheses first, then handle 579×0=0 before any division.

Practice Quiz

Test your knowledge with interactive questions

$1\times1000=$

FAQ

Everything you need to know about this question

Why does anything times zero always equal zero?

The zero property of multiplication states that any number multiplied by zero equals zero. Think of it this way: if you have 579 groups of nothing, you still have nothing!

What if I calculated 579÷1 first instead?

That would break the order of operations! You must do multiplication and division from left to right, so 579×0 comes before dividing by (100-99).

Does it matter that we're dividing zero by one at the end?

Yes! Zero divided by any non-zero number equals zero. Since (100-99)=1, we have $0 \div 1 = 0$ . This confirms our final answer.

What if the parentheses had been (100-100) instead?

That would create a division by zero situation, which is undefined in mathematics! Always check that you're not dividing by zero in your final steps.

How do I remember the order of operations?

Use PEMDAS: Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). A helpful phrase is "Please Excuse My Dear Aunt Sally"!

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