# Integers and Fractions Crossword

This puzzle reviews the vocabulary Grade 7 students need for working with integers and fractions. You will meet terms tied to dividing fractions, such as reciprocal, quotient and dividend ([Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20897), [Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20898)), along with the language of equivalent expressions and algorithms used to multiply and divide decimal numbers ([Understanding](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20902), [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20901)). You will also see numerator, a word tied to comparing and operating on fractions ([Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20893)), and negative, which describes numbers below zero in integer operations ([Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20873), [Knowledge](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20877)). Solve the clues to fill the grid and check your spelling against the answer key when you finish.

## How to play

Read each clue and write its answer in the matching numbered row or column of the grid. Across clues run left to right; down clues run top to bottom. Each letter box may be shared by an across word and a down word, so a correct crossing letter confirms both answers. Work in pencil, since some clues may need a second look once a few crossing letters are in place. If a word is a mathematical term, use the exact term from class, not an abbreviation.

## Puzzle grid

| 1 |   |   |   |   | 2 |   |   | ■ | ■ | ■ | ■ | ■ |
|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|
| ■ | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ | 3 | ■ | ■ | ■ |
| ■ | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ |   | ■ | ■ | ■ |
| ■ | ■ | 4 |   |   |   |   |   |   |   |   | ■ | ■ |
| ■ | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ |   | ■ | ■ | ■ |
| ■ | ■ | 5 | ■ | ■ |   | ■ | ■ | ■ |   | ■ | ■ | ■ |
| ■ | ■ | 6 |   |   |   |   | 7 |   |   |   |   | ■ |
| ■ | ■ |   | ■ | ■ |   | ■ |   | ■ |   | ■ | ■ | ■ |
| ■ | ■ |   | ■ | ■ | 8 |   |   |   |   |   |   |   |
| ■ | ■ |   | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ |   | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ |   | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ |   | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ |   | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ |   | ■ | ■ | ■ | ■ |   | ■ | ■ | ■ | ■ | ■ |

## Clues

### Across

1. The number being divided in a division problem. (8)
4. The top number in a fraction. (9)
6. Having the same value or meaning, even if written differently. (10)
8. A number less than zero, shown with a minus sign. (8)

### Down

2. A combination of numbers and operations that represents a value. (10)
3. The result when one number is divided by another. (8)
5. The multiplicative inverse of a fraction; multiply it by the original fraction to get 1. (10)
7. A step-by-step procedure for solving a problem or doing a calculation. (9)

## Answer key

- **1 across**: DIVIDEND
- **2 down**: EXPRESSION
- **3 down**: QUOTIENT
- **4 across**: NUMERATOR
- **5 down**: RECIPROCAL
- **6 across**: EQUIVALENT
- **7 down**: ALGORITHM
- **8 across**: NEGATIVE

| D | I | V | I | D | E | N | D | ■ | ■ | ■ | ■ | ■ |
|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|:---:|
| ■ | ■ | ■ | ■ | ■ | X | ■ | ■ | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ | ■ | ■ | ■ | P | ■ | ■ | ■ | Q | ■ | ■ | ■ |
| ■ | ■ | ■ | ■ | ■ | R | ■ | ■ | ■ | U | ■ | ■ | ■ |
| ■ | ■ | N | U | M | E | R | A | T | O | R | ■ | ■ |
| ■ | ■ | ■ | ■ | ■ | S | ■ | ■ | ■ | T | ■ | ■ | ■ |
| ■ | ■ | R | ■ | ■ | S | ■ | ■ | ■ | I | ■ | ■ | ■ |
| ■ | ■ | E | Q | U | I | V | A | L | E | N | T | ■ |
| ■ | ■ | C | ■ | ■ | O | ■ | L | ■ | N | ■ | ■ | ■ |
| ■ | ■ | I | ■ | ■ | N | E | G | A | T | I | V | E |
| ■ | ■ | P | ■ | ■ | ■ | ■ | O | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ | R | ■ | ■ | ■ | ■ | R | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ | O | ■ | ■ | ■ | ■ | I | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ | C | ■ | ■ | ■ | ■ | T | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ | A | ■ | ■ | ■ | ■ | H | ■ | ■ | ■ | ■ | ■ |
| ■ | ■ | L | ■ | ■ | ■ | ■ | M | ■ | ■ | ■ | ■ | ■ |

---
*AILI game · language en · model claude-sonnet-5 · generated 2026-09-17 · id 6ab25e95-50d3-4fc7-a5c5-4aba61b70aeb*

### Sources

- node:n1: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20891)
- node:n2: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can operations on positive and negative numbers be understood? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20871)
- node:n3: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20897)
- node:n4: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20898)
- node:n5: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20899)
- node:n6: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20902)
- node:n7: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20901)
- node:n8: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20903)
- node:n9: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20895)
- node:n10: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20893)
- node:n11: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20894)
- node:n12: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20905)
- node:n13: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20906)
- node:n14: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can multiplication and division be generalized? › Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20907)
- node:n15: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can operations on positive and negative numbers be understood? › Students apply operations to positive and negative numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20873)
- node:n16: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can operations on positive and negative numbers be understood? › Students apply operations to positive and negative numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20875)
- node:n17: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can operations on positive and negative numbers be understood? › Students apply operations to positive and negative numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20874)
- node:n18: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can operations on positive and negative numbers be understood? › Students apply operations to positive and negative numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20879)
- node:n19: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can operations on positive and negative numbers be understood? › Students apply operations to positive and negative numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20878)
- node:n20: Mathematics › Mathematics (7–9) › Grade 7 › Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculation… › How can operations on positive and negative numbers be understood? › Students apply operations to positive and negative numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20877)