Solve 17×10-70: Step-by-Step Arithmetic Calculation

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

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). This ensures everyone gets the same answer! Without it, $ 17\times10-70 $ could have multiple interpretations.

Q: What if I accidentally did subtraction first?

If you calculated $ 10-70=-60 $ first, you'd get $ 17\times(-60)=-1020 $. That's way off from the correct answer of 100! Always remember: multiplication comes before subtraction.

Q: How do I remember the order of operations?

Use the acronym PEMDAS: "Please Excuse My Dear Aunt Sally". Or remember that multiplication and division are stronger operations that must be done before addition and subtraction.

Q: What if the problem had parentheses?

Parentheses always come first! If it were $ 17\times(10-70) $, then you'd subtract first: $ 10-70=-60 $, then multiply: $ 17\times(-60)=-1020 $.

Order of Operations with Mixed Calculations

$17\times10-70=$

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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

00:06 We will continue to solve according to proper order of operations from left to right

00:09 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

$17\times10-70=$

Step-by-step solution

According to the order of operations, we first solve the multiplication exercise and then the addition/ subtraction.

$17\times10=170$

$170-70=100$

Final Answer

$100$

Key Points to Remember

Essential concepts to master this topic

Rule: Always perform multiplication before subtraction following PEMDAS order
Technique: Calculate 17×10=170 first, then subtract: 170-70=100
Check: Verify by working backwards: 100+70=170÷10=17 ✓

Common Mistakes

Avoid these frequent errors

Working left to right without following order of operations
Don't calculate 17×10-70 as 17×(10-70) = 17×(-60) = -1020! This ignores PEMDAS and gives a completely wrong negative answer. Always multiply first, then subtract: 17×10=170, then 170-70=100.

Practice Quiz

Test your knowledge with interactive questions

Solve the following problem:

$15\times2\times8=$

FAQ

Everything you need to know about this question

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

Mathematics has a special order called PEMDAS (Parentheses, Exponents, Multiplication/Division, Addition/Subtraction). This ensures everyone gets the same answer! Without it, $17\times10-70$ could have multiple interpretations.

What if I accidentally did subtraction first?

If you calculated $10-70=-60$ first, you'd get $17\times(-60)=-1020$ . That's way off from the correct answer of 100! Always remember: multiplication comes before subtraction.

How do I remember the order of operations?

Use the acronym PEMDAS: "Please Excuse My Dear Aunt Sally". Or remember that multiplication and division are stronger operations that must be done before addition and subtraction.

Is there an easier way to check my work?

Yes! Work backwards: start with your answer 100, add 70 to get 170, then divide by 10 to get 17. If you get back to where you started, your answer is correct!

What if the problem had parentheses?

Parentheses always come first! If it were $17\times(10-70)$ , then you'd subtract first: $10-70=-60$ , then multiply: $17\times(-60)=-1020$ .

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