# Fractions and Decimals: Grade 4

Central concept: **Fractions and Decimals**

## Connections

- Fractions and Decimals (uses) -> Place Value
- Fractions and Decimals (uses) -> Decimal Notation
- Fractions and Decimals (shows) -> Equivalence
- Fractions and Decimals (applies to) -> Addition and Subtraction
- Fractions and Decimals (applies to) -> Comparing and Ordering
- Place Value (includes) -> Tenths and Hundredths
- Decimal Notation (represents) -> Money
- Equivalence (enables) -> Conversion
- Equivalence (shows on) -> Number Line
- Addition and Subtraction (uses) -> Estimation
- Comparing and Ordering (involves) -> Rounding
- Conversion (works with) -> Tenths and Hundredths

## Notes

- **Fractions and Decimals**: Numbers that represent parts of a whole and can be expressed in different ways [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30057), [Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30058)
- **Place Value**: Each digit's position determines its value; each place is one-tenth of the place to its left [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/30029)
- **Decimal Notation**: A point separates whole numbers from parts; used for money and measurements [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30029), [Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30030)
- **Equivalence**: Fractions and decimals can represent the same number [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30057), [Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30058)
- **Comparing and Ordering**: Use symbols <, >, or = to compare decimal and fractional numbers [Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30031)
- **Addition and Subtraction**: Standard algorithms work for decimal numbers to hundredths [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30033), [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30035)
- **Tenths and Hundredths**: Place values that represent fractions with denominators of 10 and 100 [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30029), [Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30030)
- **Number Line**: Fractions and decimals mark the same positions between whole numbers [Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30059), [Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30058)
- **Estimation**: Check if sums and differences are reasonable [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30035), [Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30037)
- **Money**: Dollars and cents show decimal notation in everyday use [Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30031), [Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30030)
- **Rounding**: Round decimal numbers to various places including tenths [Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30031)
- **Conversion**: Express fractions as decimals and decimals as fractions with denominators 10 or 100 [Skills](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30059), [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/30057)

![Fractions and Decimals: Grade 4](https://goa-cc-uat-aili-app-001.azurewebsites.net/api/generate/1aac6c07-b9d8-42be-83d1-611b1df45e47/asset/1221)

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*AILI word map · language en · model claude-haiku-4-5-20251001 · generated 2026-09-17 · id 1aac6c07-b9d8-42be-83d1-611b1df45e47*

### 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/30029)