Solve -10-3-5×3: Order of Operations Practice Problem

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

Math has special rules called order of operations (PEMDAS) that tell us which operations to do first. Multiplication always comes before addition and subtraction, no matter where it appears in the expression.

Q: How do I handle the negative numbers correctly?

Think of negative numbers as "negative one times the number." So -10 means (-1)×10. When subtracting, like -10-3, you're adding negative numbers: (-10) + (-3) = -13.

Q: What if I got -54 as my answer?

You probably calculated (-10-3-5)×3 = -18×3 = -54, which ignores order of operations. Remember: multiply $ 5\times3 $ first, then subtract from left to right.

Q: Is there a trick to remember the order of operations?

Try the phrase "Please Excuse My Dear Aunt Sally" for PEMDAS! Or imagine putting invisible parentheses around multiplication: -10-3-(5×3) to remind yourself what to do first.

Order of Operations with Negative Numbers

$-10-3-5\times3=$

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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 multiplication and division before addition and subtraction

00:09 Continue solving according to proper order of operations from left to right

00:18 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

$-10-3-5\times3=$

Step-by-step solution

According to the order of operations, we first place the multiplication exercise in parentheses:

$-10-3-(5\times3)=$

We solve the multiplication exercise:

$5\times3=15$

Now we obtain the exercise:

$-10-3-15=$

We solve the exercise from left to right:

$-10-3=-13$

$-13-15=-28$

Final Answer

$-28$

Key Points to Remember

Essential concepts to master this topic

Rule: Follow PEMDAS - multiply before adding or subtracting
Technique: First calculate $5\times3=15$ , then solve left to right
Check: $-10-3-15=-13-15=-28$ ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't solve -10-3-5×3 by going (-10-3-5)×3 = -54! This ignores multiplication priority and gives the wrong answer. Always multiply first: -10-3-(5×3) = -10-3-15 = -28.

Practice Quiz

Test your knowledge with interactive questions

$74+32+6+4+4=\text{?}$

FAQ

Everything you need to know about this question

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

Math has special rules called order of operations (PEMDAS) that tell us which operations to do first. Multiplication always comes before addition and subtraction, no matter where it appears in the expression.

What does PEMDAS mean exactly?

Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right). In this problem, we multiply $5\times3$ first!

How do I handle the negative numbers correctly?

Think of negative numbers as "negative one times the number." So -10 means (-1)×10. When subtracting, like -10-3, you're adding negative numbers: (-10) + (-3) = -13.

What if I got -54 as my answer?

You probably calculated (-10-3-5)×3 = -18×3 = -54, which ignores order of operations. Remember: multiply $5\times3$ first, then subtract from left to right.

Is there a trick to remember the order of operations?

Try the phrase "Please Excuse My Dear Aunt Sally" for PEMDAS! Or imagine putting invisible parentheses around multiplication: -10-3-(5×3) to remind yourself what to do first.

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