# Fractions and Decimals: Place Value and Equivalence *30 minutes, 3 stages* Understanding how fractions and decimals connect helps you read prices, measurements, and numbers in everyday life. When you see 0.5 or 1/2, you are looking at the same amount written two different ways. This homework builds your skill in moving between fractions and decimals, and in recognizing what each digit means ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30027), [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30057)). ## Stage 1: Identify Place Value (8 min) Write the place value of the underlined digit in each number. Place value can be applied to decimal numbers in various ways. 1. 3.4**7**, hundredths 2. 5.2**8** 3. 42.**3** 4. 7.**6**5 5. 0.**0**9 Now write each number in words. Use the word "and" for the decimal point. 6. 2.5, two and five tenths 7. 3.47 8. 6.08 9. 0.3 ## Stage 2: Match Fractions to Decimals (12 min) Fractions and decimals can represent the same number ([Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30057)). Match each fraction on the left to its decimal on the right by writing the letter. 10. 1/10, A. 0.25 11. 5/10, B. 0.1 12. 25/100, C. 0.5 13. 7/100, D. 0.07 14. 50/100, E. 0.50 Now write the decimal for each fraction. 15. 3/10 = ____ 16. 8/100 = ____ 17. 45/100 = ____ 18. 6/10 = ____ ## Stage 3: Compare and Order (10 min) Use <, >, or = to compare these numbers ([Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30031)). 19. 0.3 ____ 0.30 20. 0.5 ____ 0.50 21. 0.7 ____ 0.07 22. 2.4 ____ 2.04 23. 0.25 ____ 0.52 Put these numbers in order from smallest to largest. 24. 0.6, 0.06, 0.60, 0.16 ____ ____ ____ ____ 25. 1.2, 1.02, 2.1, 0.21 ____ ____ ____ ____ ## Self-check Ask yourself these questions. If you answer "yes" to all three, you are ready. - Can you name the place value (tenths or hundredths) of any digit in a decimal number? - Can you write a fraction as a decimal when the denominator is 10 or 100? - Can you tell which decimal is larger when you compare two numbers like 0.3 and 0.30? --- *AILI student homework · language en · model claude-haiku-4-5-20251001 · generated 2026-09-17 · id 754ee139-51a2-44c1-9b66-4b6db0722668* ### Sources - node:n1: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30027) - node:n2: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can understanding of addition and subtraction be extended to decimal numbers? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30033) - node:n3: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30029) - node:n4: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30031) - node:n5: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30030) - node:n6: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can understanding of addition and subtraction be extended to decimal numbers? › Students add and subtract within 10 000, including decimal numbers to hundredths. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30035) - node:n7: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can understanding of addition and subtraction be extended to decimal numbers? › Students add and subtract within 10 000, including decimal numbers to hundredths. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30037) - node:n8: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can understanding of addition and subtraction be extended to decimal numbers? › Students add and subtract within 10 000, including decimal numbers to hundredths. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30036) - node:n9: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can fractions be characterized in different ways? › Students apply equivalence to the interpretation of fractions. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30059) - node:n10: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can fractions be characterized in different ways? › Students apply equivalence to the interpretation of fractions. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30057) - node:n11: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can fractions be characterized in different ways? › Students apply equivalence to the interpretation of fractions. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30058) - node:n12: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30030) - node:n13: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can fractions be characterized in different ways? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30051) - node:n14: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30031) - node:n15: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can fractions be characterized in different ways? › Students apply equivalence to the interpretation of fractions. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30055) - node:n16: Mathematics › Mathematics (K–6) › Grade 4 › Number: Quantity is measured with numbers that enable counting, labelling, comparing, and operating. › How can place value facilitate interpretation of number? › Students apply place value to decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30029)