Students fix three comparison errors — 345,678 compared incorrectly to 345,578, 980,000 declared greater than 1,200,000, and 506,430 called equal to 506,440. Part B has four fill-in-the-blank comparison problems and one question about the greatest 6-digit number using given digits. Part C has two short-answer questions about comparing 6-digit numbers step by step and why 999,999 is less than 1,000,000.
Comparing numbers by digit count first and then place by place prevents the leading-digit-only comparison error.
Style:
Place Value and Rounding
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
345,678 < 345,578 because 5 comes before 6.
Rewrite: 345,678 > 345,578 because the hundreds digit 6 is greater than 5 when all other places are equal.
2. Fix the sentence:
980,000 > 1,200,000 because 9 is greater than 1.
Rewrite: 1,200,000 > 980,000 because 1.2 million is greater than 980 thousand. Compare the number of digits first.
3. Fix the sentence:
506,430 = 506,440 because both start with 506.
Rewrite: 506,430 < 506,440 because the tens digit 3 is less than 4.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Compare: 728,415 < 728,451 (write < , > , or =)
2. Compare: 1,350,000 > 1,305,000 (write < , > , or =)
3. The greatest 6-digit number using digits 3, 7, 1, 9, 5, 0 is 975,310
4. Order from least to greatest: 450,200 and 405,200. The smaller number is 405,200
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain how to compare two 6-digit numbers step by step.
Start from the leftmost digit and compare each place value moving right. The first place where the digits differ tells you which number is greater.
2. Why is 999,999 less than 1,000,000 even though it has more non-zero digits?
1,000,000 has seven digits while 999,999 has only six digits. A number with more digits is always greater when comparing whole numbers.
Place Value and Rounding
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
345,678 < 345,578 because 5 comes before 6.
Rewrite: 345,678 > 345,578 because the hundreds digit 6 is greater than 5 when all other places are equal.
2) Fix the sentence:
980,000 > 1,200,000 because 9 is greater than 1.
Rewrite: 1,200,000 > 980,000 because 1.2 million is greater than 980 thousand. Compare the number of digits first.
3) Fix the sentence:
506,430 = 506,440 because both start with 506.
Rewrite: 506,430 < 506,440 because the tens digit 3 is less than 4.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Compare: 728,415 < 728,451 (write < , > , or =)
2) Compare: 1,350,000 > 1,305,000 (write < , > , or =)
3) The greatest 6-digit number using digits 3, 7, 1, 9, 5, 0 is 975,310
4) Order from least to greatest: 450,200 and 405,200. The smaller number is 405,200
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Explain how to compare two 6-digit numbers step by step.
Start from the leftmost digit and compare each place value moving right. The first place where the digits differ tells you which number is greater.
2) Why is 999,999 less than 1,000,000 even though it has more non-zero digits?
1,000,000 has seven digits while 999,999 has only six digits. A number with more digits is always greater when comparing whole numbers.
Ready to Practice?
Complete each section carefully.
9 Questions
15-20 minutes
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