Complete the Expression: Finding the Missing Operator in 30+4□63-30

Inequality Comparison with Basic Arithmetic

Fill in the correct sign:

30+46330 30+4\Box63-30

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Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Fill in the correct sign:

30+46330 30+4\Box63-30

2

Step-by-step solution

To solve this problem, we will follow these steps:

  • Simplify each side of the expression separately.
  • Compare the resulting values to determine the correct inequality sign.

Step 1: Simplify the left side of the expression.
Calculate 30+4 30 + 4 , which equals 34 34 .

Step 2: Simplify the right side of the expression.
Calculate 6330 63 - 30 , which gives us 33 33 .

Step 3: Compare the simplified results.
We have 34 34 on the left side and 33 33 on the right side. Clearly, 34 34 is greater than 33 33 .

Thus, the correct inequality sign to substitute for the box is > > .

3

Final Answer

> >

Key Points to Remember

Essential concepts to master this topic
  • Rule: Evaluate each side separately before comparing values
  • Technique: Calculate left side: 30 + 4 = 34, right side: 63 - 30 = 33
  • Check: Compare final values: 34 > 33, so 30+4 > 63-30 ✓

Common Mistakes

Avoid these frequent errors
  • Comparing terms without simplifying first
    Don't compare 30+4 to 63-30 without calculating = wrong comparison! You can't determine which is bigger without doing the arithmetic. Always simplify each side completely before comparing the final numerical values.

Practice Quiz

Test your knowledge with interactive questions

If we have 67 blocks in total, how many blocks will remain if we remove 5 tens and 4 ones?

FAQ

Everything you need to know about this question

Do I need to follow order of operations here?

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Yes! Even though this problem only has addition and subtraction, you still work from left to right. Calculate 30+4=34 30 + 4 = 34 and 6330=33 63 - 30 = 33 separately.

What if both sides equal the same number?

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Then you would use the equals sign (=)! But in this case, 34 and 33 are different, so we need either > or < depending on which is larger.

How do I remember which way the inequality sign points?

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Think of the inequality sign as a hungry mouth that always wants to eat the bigger number. Since 34 > 33, the mouth opens toward 34.

Can I solve this by moving numbers around instead?

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You could, but it's much easier to simplify each side first. Moving terms around creates more steps and more chances for errors. Stick with the straightforward approach!

What if I get confused about which side is which?

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Always work systematically: left side first, then right side. Write down your calculations: Left = 34, Right = 33, so Left > Right.

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