You need to compare 9,876 and 10,001. Which number is larger? Explain the rule you used to decide.

10,001 is larger. The rule states that if two whole numbers have a different number of digits, the number with more digits has the greater value. 10,001 has five digits, while 9,876 has four digits. Therefore, 10,001 is greater.

Order the following numbers from least to greatest: 897, 1,023, 99. Explain the steps you took to arrange them.

The order from least to greatest is: 99, 897, 1,023. First, I identified the number with the fewest digits, which is 99 (two digits), making it the smallest. Then, I compared 897 (three digits) and 1,023 (four digits). Since 1,023 has more digits, it is the largest, leaving 897 as the middle number.

Compare 3,456,789 and 3,456,987. Which number is smaller? Describe your comparison process.

3,456,789 is smaller. Both numbers have seven digits. I started comparing from the hundred-thousands place. The digits in the millions, hundred-thousands, ten-thousands, and thousands places are all the same (3, 4, 5, 6). Moving to the hundreds place, the first number has a 7 and the second number has a 9. Since 7 is less than 9, 3,456,789 is the smaller number.

Comparing And Ordering Real Numbers Lesson Plan for 8th Grade

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Objective

I can compare and order real numbers expressed in various forms.

Part 1 of 4

Warm-up video

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We don't generate video — this one is by mathantics on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 4

Key concepts

3 concepts

1
To compare two multi-digit whole numbers, first line up their number places, then compare the digits farthest to the left.
2
If the digits in the largest number place are the same, you must shift to the right and compare the digits in the next biggest number place.
3
When comparing two whole numbers, the number with more digits will always have the greater value.

Part 3 of 4

Practice

8 questions

Compare 5,832 and 4,917. Which number has the greatest value? Explain your reasoning based on the method discussed.

Which number is greater: 76,521 or 76,398? Explain how you determined your answer, especially if some digits were the same.

Part 4 of 4

Exit ticket

Quick comprehension check

“Order the following whole numbers from least to greatest: 5,876; 5,890; 987; 6,123. Explain the steps you used to compare the numbers and determine their order.”

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Comparing and Ordering Real Numbers

Objective

Warm-up video

Key concepts

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