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

Solve the following equation:

\( 12+7-5\text{ }= \)

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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