Solve (3×5-15×1)+3-2: Order of Operations Practice

Order of Operations with Multiple Multiplications

(3×5−15×1)+3−2= (3\times5-15\times1)+3-2=

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Solve the following problem
00:03 Always solve the parentheses first
00:06 Multiplication precedes subtraction
00:12 Continue to solve the expression according to the correct order of operations
00:21 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

(3×5−15×1)+3−2= (3\times5-15\times1)+3-2=

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Step-by-step solution

This simple rule is the order of operations which states that exponentiation precedes multiplication and division, which precede addition and subtraction, and that operations enclosed in parentheses precede all others,

Following the simple rule, multiplication comes before division and subtraction, therefore we calculate the values of the multiplications and then proceed with the operations of division and subtraction

3⋅5−15⋅1+3−2=15−15+3−2=1 3\cdot5-15\cdot1+3-2= \\ 15-15+3-2= \\ 1 Therefore, the correct answer is answer B.

3

Final Answer

1 1

Key Points to Remember

Essential concepts to master this topic
  • PEMDAS Rule: Parentheses first, then multiplication before addition/subtraction
  • Technique: Calculate 3×5=15 3 \times 5 = 15 and 15×1=15 15 \times 1 = 15 first
  • Check: Work left to right after multiplying: 15 - 15 + 3 - 2 = 1 ✓

Common Mistakes

Avoid these frequent errors
  • Working left to right without doing multiplications first
    Don't calculate (3×5-15×1)+3-2 as 3×5=15, then 15-15=0, then 0×1=0! This ignores order of operations and gives 1 instead of the correct answer. Always complete all multiplications before any addition or subtraction.

Practice Quiz

Test your knowledge with interactive questions

Solve the following exercise:

\( 12+3\cdot0= \)

FAQ

Everything you need to know about this question

Why can't I just work from left to right like reading?

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Math has a special order called PEMDAS! Unlike reading, we must do certain operations first. Multiplication always comes before addition and subtraction, no matter where it appears in the expression.

Do I need to solve what's in parentheses first?

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Yes! Parentheses are always first in PEMDAS. In this problem, solve (3×5−15×1) (3\times5-15\times1) completely before adding 3 and subtracting 2.

What if I get 0 instead of 1?

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You likely forgot the order of operations! Make sure you multiply first: 3×5=15 3\times5=15 and 15×1=15 15\times1=15 , then subtract: 15−15=0 15-15=0 .

How do I remember PEMDAS?

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Try the phrase "Please Excuse My Dear Aunt Sally"! Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Why does 15-15+3-2 equal 1 and not 5?

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Work left to right for same-level operations! 15−15=0 15-15=0 , then 0+3=3 0+3=3 , finally 3−2=1 3-2=1 . Don't group it as 15−(15+3−2) 15-(15+3-2) !

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