Number Comparison: Identifying Values Less Than 87

Number Comparison with Multiple Value Groups

Which group contains numbers that are smaller in value than 87?

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1

Understand the problem

Which group contains numbers that are smaller in value than 87?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Review the groups of numbers provided in the answer choices.

  • Step 2: Compare each number in the groups with the value of 87.

  • Step 3: Identify which group contains only numbers that are all less than 87.

Let's carry out these steps:

Step 1: Review the possible answer choices:
Choice 1: 10,2,60,77,40 10, 2, 60, 77, 40
Choice 2: 87,45,30,73,71 87, 45, 30, 73, 71
Choice 3: 75,99,80,84 75, 99, 80, 84
Choice 4: 81,90,61,74 81, 90, 61, 74

Step 2: Compare each number in each choice to the number 87:

Choice 1:
- 10<87 10 < 87
- 2<87 2 < 87
- 60<87 60 < 87
- 77<87 77 < 87
- 40<87 40 < 87

Choice 1 satisfies the condition as all numbers are less than 87.

Choice 2:
- 87 87 is not less than 87.

Choice 3:
- 99 99 is not less than 87.

Choice 4:
- 90 90 is not less than 87.

Thus, only Choice 1 contains numbers that are all less than 87.

Therefore, the solution to the problem is 10,2,60,77,40 10, 2, 60, 77, 40 .

3

Final Answer

10,2,60,77,40 10,2,60,77,40

Key Points to Remember

Essential concepts to master this topic
  • Rule: Compare each number individually to find which are less than 87
  • Technique: Check systematically: 10 < 87, 2 < 87, 60 < 87, 77 < 87, 40 < 87
  • Check: Verify ALL numbers in chosen group satisfy condition ✓

Common Mistakes

Avoid these frequent errors
  • Stopping after finding one number greater than 87
    Don't stop checking after finding 99 > 87 in choice 3 = missed other invalid numbers! You might accidentally pick a group with mixed values. Always check every single number in each group to ensure ALL are less than 87.

Practice Quiz

Test your knowledge with interactive questions

Which group contains numbers that are smaller in value than 87?

FAQ

Everything you need to know about this question

Do I need to check every number in every group?

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Yes! Even if you find one number that's too big, keep checking to understand why each group is wrong. This helps you recognize patterns and avoid mistakes.

What if a group has exactly 87 in it?

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Numbers equal to 87 don't count as smaller than 87. The question asks for numbers that are strictly less than 87, so 87 itself doesn't qualify.

Is there a faster way than checking each number?

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You can quickly scan for obvious large numbers like 99 or 90 first, but always double-check by going through each number systematically to be sure.

What if I'm not sure about a comparison like 77 vs 87?

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Think about it step by step: 77 is 10 less than 87 (since 77 + 10 = 87). You can also use a number line to visualize which number comes first.

Can a group be correct if it has different sized numbers?

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Absolutely! The numbers can be very different sizes (like 2 and 77), as long as they're all smaller than 87. Size variety doesn't matter, only the comparison to 87.

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