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

Order of Operations with Zero Multiplication

Solve the following problem using the order of operations:

0×(191)+2= 0\times(19-1)+2=

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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
00:06 Always solve multiplication and division before addition and subtraction
00:09 0 multiplied by any number always equals 0
00:12 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Solve the following problem using the order of operations:

0×(191)+2= 0\times(19-1)+2=

2

Step-by-step solution

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

191=18 19-1=18

We obtain the following expression:

0×18+2= 0\times18+2=

According to the order of operations, we'll multiply first and then add:

0×18=0 0\times18=0

0+2=2 0+2=2

3

Final Answer

2

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses first, then multiplication, finally addition
  • Zero Property: Any number multiplied by 0 equals 0: 0×18=0 0\times18=0
  • Check: Follow each step: (19-1)=18, then 0×18=0, then 0+2=2 ✓

Common Mistakes

Avoid these frequent errors
  • Adding before multiplying
    Don't solve left to right like 0×191+2=1 0\times19-1+2=1 ! This ignores order of operations and gives wrong answers. Always follow PEMDAS: parentheses first, then multiplication, then addition.

Practice Quiz

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\( 100+5-100+5 \)

FAQ

Everything you need to know about this question

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

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The P in PEMDAS (Parentheses) always comes first! No matter what operations are around it, you must solve anything in parentheses before doing multiplication or addition.

Does 0 times any number really equal 0?

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Yes! This is called the Zero Property of Multiplication. Whether it's 0×1 0\times1 or 0×1000 0\times1000 , the answer is always 0.

What if I forgot PEMDAS and just went left to right?

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You'd get the wrong answer! Going left to right gives different results. Always use PEMDAS - it's the universal rule that ensures everyone gets the same correct answer.

Can I skip steps if I see a zero in the problem?

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Never skip steps! Even though 0× 0\times anything equals 0, you still need to follow PEMDAS order. Show each step to avoid mistakes.

How do I remember the order of operations?

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

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