Unit Digit Problems: Finding Numbers Ending in 4 Greater Than 76

Q: What exactly is a unit digit?

The unit digit is the rightmost digit in a whole number - it's in the ones place! For example, in 84, the unit digit is 4. In 127, the unit digit is 7.

Q: Why can multiple answers be correct?

The question asks which number meets the conditions, but doesn't say only one number can work. Since both 84 and 94 satisfy both conditions, both answers are valid!

Q: How do I systematically check all possibilities?

Make a simple checklist: Does it end in 4? ✓ or ✗Is it greater than 76? ✓ or ✗ Only numbers with both checkmarks are correct answers.

Q: Are there other numbers that work besides 84 and 94?

Yes! Any number ending in 4 that's greater than 76 works: $ 104, 114, 124 $, etc. The question only gives specific choices to pick from.

Q: What if I accidentally picked just one of the correct answers?

Look carefully at all answer choices! Sometimes there's an option like 'Both B and C are correct' that you might miss if you stop after finding one right answer.

Number Properties with Multiple Condition Checking

Which number has a unit digit of 4 and is greater than 76?

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Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Which number has a unit digit of 4 and is greater than 76?

Step-by-step solution

To solve this problem, we will evaluate each provided choice to see if it meets the given conditions. The number must be greater than 76 and have a unit digit of 4.

Evaluation of the choices:

Choice 1: $44$
The unit digit of 44 is 4, but 44 is not greater than 76. Therefore, this choice does not satisfy both conditions.
Choice 2: $84$
The unit digit of 84 is 4, and 84 is greater than 76. This choice satisfies both conditions.
Choice 3: $94$
The unit digit of 94 is 4, and 94 is greater than 76. This choice satisfies both criteria.
Choice 4: "Answers (b) and (c) are correct."
Both choices (b) and (c) satisfy all the specified conditions of ending in 4 and being greater than 76.

Thus, for conclusions:

The numbers 84 and 94 meet the required criteria and the correct choice is "Answers (b) and (c) are correct."

Therefore, the solution to the problem is Answers (b) and (c) are correct.

Final Answer

Answers (b) and (c) are correct.

Key Points to Remember

Essential concepts to master this topic

Unit Digit: The ones place determines if a number ends in 4
Comparison: Check if each number > 76: 44 < 76, but 84 > 76
Verification: Test both conditions: unit digit = 4 AND greater than 76 ✓

Common Mistakes

Avoid these frequent errors

Only checking one condition at a time
Don't just look for numbers ending in 4 or just numbers greater than 76 = missing valid answers! You might pick 44 (ends in 4 but not > 76) or 78 (> 76 but doesn't end in 4). Always check that BOTH conditions are satisfied simultaneously.

Practice Quiz

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What number do the blue squares below represent?

FAQ

Everything you need to know about this question

What exactly is a unit digit?

The unit digit is the rightmost digit in a whole number - it's in the ones place! For example, in 84, the unit digit is 4. In 127, the unit digit is 7.

Why can multiple answers be correct?

The question asks which number meets the conditions, but doesn't say only one number can work. Since both 84 and 94 satisfy both conditions, both answers are valid!

How do I systematically check all possibilities?

Make a simple checklist:

Does it end in 4? ✓ or ✗
Is it greater than 76? ✓ or ✗

Only numbers with both checkmarks are correct answers.

Are there other numbers that work besides 84 and 94?

Yes! Any number ending in 4 that's greater than 76 works: $104, 114, 124$ , etc. The question only gives specific choices to pick from.

What if I accidentally picked just one of the correct answers?

Look carefully at all answer choices! Sometimes there's an option like 'Both B and C are correct' that you might miss if you stop after finding one right answer.

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