Students fix three conversion and comparison errors — 45/100 written as 0.045, 0.08 described as eight tenths, and 2.06 declared greater than 2.6. Part B has four fill-in-the-blank questions about 7/100, place value in 5.18, and 0.6 as a fraction. Part C has two short-answer questions about converting 30/100 step by step and why 0.2 equals 20/100.
Fraction-to-decimal conversion errors are the most conceptually important mistakes to address before comparing decimals.
Style:
Decimals and Place Value
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
The fraction 45100 as a decimal is 0.045.
Rewrite: The fraction 45100 as a decimal is 0.45.
2. Fix the sentence:
The decimal 0.08 represents eight tenths.
Rewrite: The decimal 0.08 represents eight hundredths.
3. Fix the sentence:
2.06 is greater than 2.6 because 06 has two digits.
Rewrite: 2.6 is greater than 2.06 because 6 tenths is more than 0 tenths and 6 hundredths.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. The fraction 7100 written as a decimal is 0.07.
2. In the number 5.18, the digit 8 is in the hundredths place.
3. The decimal 0.6 as a fraction with denominator 10 is 610.
4. Three quarters written as a dollar amount is $0.75.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Write 30100 as a decimal and explain your steps.
30100 = 0.30 or 0.3. Since the denominator is 100, the digits go in the tenths and hundredths places.
2. Why does the decimal 0.2 equal the fraction 20100?
0.2 is two tenths, and 210 equals 20100 when you multiply both the numerator and denominator by 10.
Decimals and Place Value
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
The fraction 45/100 as a decimal is 0.045.
Rewrite: The fraction 45/100 as a decimal is 0.45.
2) Fix the sentence:
The decimal 0.08 represents eight tenths.
Rewrite: The decimal 0.08 represents eight hundredths.
3) Fix the sentence:
2.06 is greater than 2.6 because 06 has two digits.
Rewrite: 2.6 is greater than 2.06 because 6 tenths is more than 0 tenths and 6 hundredths.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) The fraction 7/100 written as a decimal is 0.07.
2) In the number 5.18, the digit 8 is in the hundredths place.
3) The decimal 0.6 as a fraction with denominator 10 is 6/10.
4) Three quarters written as a dollar amount is $0.75.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Write 30/100 as a decimal and explain your steps.
30/100 = 0.30 or 0.3. Since the denominator is 100, the digits go in the tenths and hundredths places.
2) Why does the decimal 0.2 equal the fraction 20/100?
0.2 is two tenths, and 2/10 equals 20/100 when you multiply both the numerator and denominator by 10.
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