Questions and Answers
Which number is the greatest in the following set: 1473, 89423, 100, 5000, 310?
Identify the smallest number among the following: 1834, 75284, 111, 2333, 450.
What is the method to determine the greatest number when comparing two numbers with the same number of digits?
In the comparison of 4875 and 3542, which digit determines that 4875 is greater?
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If two numbers share the same thousands digit but differ in the hundreds digit, which digit do you examine next?
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Which comparison correctly states the greater number: 4875 or 4542?
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To find the greatest number in this set: 25286, 25245, 25270, 25210, which digit is pivotal?
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What characteristic is most significant when determining the order of numbers with differing digits in the thousands place?
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What is the greatest two-digit number?
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When arranging the numbers 571, 8320, 847, and 9754 in ascending order, which number comes first?
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If the digits of the number 182 are shifted to form the smallest possible number, what is the result?
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Which of the following arrangements represents the numbers 5000, 7500, 85400, and 7861 in descending order?
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When exchanging the digit at the hundreds place with the digit at the ones place in the number 391, which comparison is true?
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What will be the result when you add 1 to the greatest 4-digit number, 9999?
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In which of the following scenarios does exchanging the first and the third digit of a three-digit number lead to the formation of a smaller number?
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What is the greatest three-digit number before reaching four digits?
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What is the result of adding 1 to the greatest 4-digit number?
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What number is formed when you add 1 to the greatest single-digit number?
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How can the number 5278 be expanded in terms of its place values?
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Which digit represents the thousands place in the number 45278?
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What is the relationship between the greatest 3-digit number and the smallest 4-digit number?
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Which of the following is the correct expansion of the number 278?
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If you were to repeat the digit '9' four times, which number would you form?
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Which statement correctly summarizes the addition pattern observed in the content?
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Study Notes
Finding Greatest and Smallest Numbers
- Determine the greatest and smallest numbers in a given set by comparing digits.
- Example: In the set 382, 4972, 18, 59785, 750, the greatest number is 59785, and the smallest is 18.
- Numbers can be compared based on the number of digits; more digits typically indicate a larger number.
- Use positional values (thousands, hundreds, tens) to compare numbers with the same number of digits.
Comparing Numbers
- When comparing 4875 and 3542, both have the same number of digits but the thousands place of 4875 is greater, making it the larger number.
- For 4875 and 4542, since the thousands place is the same, we compare next in the hundreds place, finding 4875 is still larger.
Ordering Numbers
- Ascending order arranges numbers from the smallest to the greatest.
- Descending order arranges numbers from the greatest to the smallest.
- Example sets for practice:
- Ascending: 847, 9754, 8320, 571
- Descending: 5000, 7500, 85400, 7861
Shifting Digits
- Shifting digits within a number can change its value significantly.
- Example: The number 182 can form 821 (larger) and 128 (smaller).
- When swapping hundreds and ones places, the new number's size varies depending on the digits involved.
Understanding Place Value
- The largest single-digit number is 9; adding 1 gives the smallest two-digit number (10).
- The greatest two-digit number (99) plus one results in the smallest three-digit number (100).
- Following this pattern, adding 1 to the greatest four-digit number (9999) produces the smallest five-digit number (10000).
Expanding Numbers
- Expand numbers based on their positional values:
- For 78: 70 + 8 = 7 × 10 + 8
- For 278: 200 + 70 + 8 = 2 × 100 + 7 × 10 + 8
- For 5278: 5000 + 200 + 70 + 8 = 5 × 1000 + 2 × 100 + 7 × 10 + 8
- Introduced five-digit numbers also use this breakdown:
- Example: 45278 is 4 × 10000 + 5 × 1000 + 2 × 100 + 7 × 10 + 8, recognized as forty-five thousand, two hundred seventy-eight.
Studying That Suits You
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Description
Test your ability to quickly identify the greatest and smallest numbers in a series of rows. Challenge yourself and your friends to see how fast you can determine the answers for each set of numbers provided. This quiz is perfect for enhancing your numerical skills and quick thinking.
