Decimal Fractions Assessment

Name:

Date:

📊 Part 1: Decimal Forms

I can express decimal fractions in expanded, unit, and word form using place value reasoning.

1. Write 0.456 in expanded form:

4 + 5 + 6

0.4 + 0.05 + 0.006

400 + 50 + 6

4/10 + 5/100 + 6/1000

2. Which shows 0.327 in word form?

Three hundred twenty-seven

Three hundred twenty-seven thousandths

Three and twenty-seven hundredths

Thirty-two and seven tenths

3. Write the decimal in unit form: 0.825

4. Write in standard form: six hundred forty-three thousandths

Answer: _______________

⚖️ Part 2: Comparing Decimals

I can compare decimal fractions to the thousandths using like units and express comparisons with >, <, or =.

5. Compare 0.456 ○ 0.465. What symbol goes in the circle?

6. Fill in the correct symbol (>, <, or =):

a) 0.234 _____ 0.243

b) 0.500 _____ 0.5

c) 0.078 _____ 0.087

7. Order these decimals from least to greatest:

0.625, 0.256, 0.652, 0.562

8. Explain your strategy for comparing 0.340 and 0.34:

🎯 Part 3: Challenge Problems

Extension: I can apply decimal reasoning to solve complex problems.

9. Maya says 0.7 is greater than 0.698 because 7 > 6. Is she correct? Explain your reasoning:

10. Explain how to round decimals to the nearest tenth. Include an example showing how to round 0.347 to the nearest tenth:

📝 Part 4: Place Value Practice

11. Write the decimal 0.739 in expanded form using both fractions and decimals to express the decimal place value units:

Fraction form: _________________________________

Decimal form: __________________________________

12. Write the decimal 71.582 in expanded form using both fractions and decimals to express the decimal place value units:

Fraction form: _________________________________

Decimal form: __________________________________

📝 Answer Key

Teacher Reference: Correct Answers

1. 0.4 + 0.05 + 0.006 AND 4/10 + 5/100 + 6/1000 (Both forms are correct expanded forms)

2. Three hundred twenty-seven thousandths

3. 8 tenths + 2 hundredths + 5 thousandths

4. 0.643

5. < (0.456 < 0.465)

a) 0.234 < 0.243

b) 0.500 = 0.5

c) 0.078 < 0.087

7. 0.256, 0.562, 0.625, 0.652

8. Sample answer: Both decimals are equal because 0.340 = 0.34. The zero in the thousandths place doesn't change the value. I can compare by writing both with the same number of decimal places: 0.340 = 0.340.

9. Maya is correct that 0.7 > 0.698, but her reasoning is incomplete. She should compare place values from left to right: 0.7 = 0.700, and in the tenths place, 7 > 6, so 0.7 > 0.698.

10. To round to the nearest tenth, look at the hundredths place. If it's 5 or greater, round up; if it's less than 5, round down. For 0.347: the hundredths digit is 4, which is less than 5, so 0.347 rounds down to 0.3.

11. Fraction form: 7/10 + 3/100 + 9/1000; Decimal form: 0.7 + 0.03 + 0.009

12. Fraction form: 70 + 1 + 5/10 + 8/100 + 2/1000; Decimal form: 70 + 1 + 0.5 + 0.08 + 0.002