Solve the Arithmetic Equation: 10+1-7 Step by Step

Basic Arithmetic with Mixed Operations

10+17= ? 10+1-7=\text{ ?}

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1

Understand the problem

10+17= ? 10+1-7=\text{ ?}

2

Step-by-step solution

Start by adding: 10+1=11 10 + 1 = 11 .

Finally, subtract: 117=4 11 - 7 = 4 .

The solution is 4 4 .

3

Final Answer

4 4

Key Points to Remember

Essential concepts to master this topic
  • Order: Work from left to right for addition and subtraction
  • Technique: First add: 10+1=11 10 + 1 = 11 , then subtract: 117=4 11 - 7 = 4
  • Check: Count backwards from 11 by 7 to verify: 11, 10, 9, 8, 7, 6, 5, 4 ✓

Common Mistakes

Avoid these frequent errors
  • Adding and subtracting in wrong order
    Don't solve 17=6 1 - 7 = -6 first then add 10 = 4! This ignores left-to-right order and can give wrong answers with different numbers. Always work from left to right when operations have equal priority.

Practice Quiz

Test your knowledge with interactive questions

\( 8 - 2 + 6 = \)

FAQ

Everything you need to know about this question

Why do I work from left to right?

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Addition and subtraction have equal priority in order of operations, so we follow the left-to-right rule. This ensures everyone gets the same answer!

What if I accidentally did the subtraction first?

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You might get lucky with simple problems, but with different numbers you could get wrong answers. Practice the correct order every time to build good habits!

Can I group the operations differently?

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Only if you use parentheses! Without parentheses, you must follow the standard order: left to right for operations of equal priority.

How do I check my work without a calculator?

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Try counting methods: Start with 10, count up 1 to get 11, then count back 7 to reach 4. Or use the reverse operation: 4+71=10 4 + 7 - 1 = 10

What if the numbers were bigger?

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The same rules apply! Work left to right, but you might want to write down your intermediate step to avoid mental math errors.

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