Solve the Arithmetic Sequence: 7 + 2 + 1 - 4

Q: Do I need to follow order of operations here?

Since this expression only has addition and subtraction, you simply work from left to right. No need to worry about multiplication or division rules!

Q: Can I rearrange the numbers to make it easier?

Yes! You can group the positive numbers: $ (7 + 2 + 1) - 4 = 10 - 4 = 6 $. This often makes mental math faster.

Q: What if I get confused with the negative sign?

Think of subtraction as adding a negative number. So $ 7 + 2 + 1 - 4 $ becomes $ 7 + 2 + 1 + (-4) $.

Q: How can I check my answer quickly?

Use a different grouping: $ 7 + (2 + 1 - 4) = 7 + (-1) = 6 $. If you get the same result, you're correct!

Q: Is there a pattern I should notice?

Look for number bonds that make calculation easier. Here, you could think: $ 7 - 4 = 3 $, then $ 3 + 2 + 1 = 6 $.

Basic Arithmetic with Mixed Operations

$7+2+1-4=$

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Understand the problem

$7+2+1-4=$

Step-by-step solution

To solve the expression $7+2+1-4$ , follow these steps:

Step 1: Add the first two numbers: $7 + 2 = 9$ .

Step 2: Add the next number to the result: $9 + 1 = 10$ .

Step 3: Subtract the last number from the result: $10-4=6$ .

Therefore, the answer is $6$ .

Final Answer

Key Points to Remember

Essential concepts to master this topic

Order: Perform addition and subtraction from left to right
Technique: Group positive terms first: 7 + 2 + 1 = 10
Check: Verify by calculating step-by-step: 9 + 1 - 4 = 6 ✓

Common Mistakes

Avoid these frequent errors

Adding all numbers first, then subtracting
Don't calculate 7 + 2 + 1 + 4 = 14, then subtract = wrong result! This ignores that 4 should be subtracted, not added. Always keep track of positive and negative signs while working left to right.

Practice Quiz

Test your knowledge with interactive questions

$$ 8 - 2 + 6 = $$

FAQ

Everything you need to know about this question

Do I need to follow order of operations here?

Since this expression only has addition and subtraction, you simply work from left to right. No need to worry about multiplication or division rules!

Can I rearrange the numbers to make it easier?

Yes! You can group the positive numbers: $(7 + 2 + 1) - 4 = 10 - 4 = 6$ . This often makes mental math faster.

What if I get confused with the negative sign?

Think of subtraction as adding a negative number. So $7 + 2 + 1 - 4$ becomes $7 + 2 + 1 + (-4)$ .

How can I check my answer quickly?

Use a different grouping: $7 + (2 + 1 - 4) = 7 + (-1) = 6$ . If you get the same result, you're correct!

Is there a pattern I should notice?

Look for number bonds that make calculation easier. Here, you could think: $7 - 4 = 3$ , then $3 + 2 + 1 = 6$ .

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