# Integers and Fractions Practice This sheet reviews operations with integers and with positive fractions, two number topics from the Grade 7 program ([Topic](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34135), [Topic](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20863)). It covers comparing and ordering positive fractions, positive decimals (to thousandths) and whole numbers by using benchmarks, place value, and equivalent fractions and/or decimals ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34143), [Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20865), [Details](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20867)). Time: about 35 minutes. ## Exercises **1. Integer addition and subtraction** Work out each answer. Show your sign carefully. a) −8 + 5 = ______ b) 7 − (−4) = ______ c) −6 − (−9) = ______ d) −12 + (−7) = ______ **2. Multiplying and dividing integers** Circle the correct answer for each question ([Details](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20873)). a) (−3) × (−8) = A) −24 B) 24 C) −11 D) 11 b) (−45) ÷ 9 = A) −5 B) 5 C) −36 D) 36 c) 6 × (−7) = A) −42 B) 42 C) −1 D) 1 d) (−64) ÷ (−8) = A) −8 B) 8 C) −56 D) 56 **3. Adding and subtracting fractions** Find each sum or difference in simplest form ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34141)). a) 3/4 + 5/6 = ______ b) 2 1/3 − 5/6 = ______ c) Jasmine ran 5/8 km on Monday and 3/4 km on Tuesday. How far did she run in total? ______ d) A board is 7/8 m long. A carpenter cuts off 1/3 m. How much board is left? ______ **4. Multiplying fractions** Find each product in simplest form ([Details](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20893)). a) 2/3 × 3/5 = ______ b) 4/7 × 2/3 = ______ c) A recipe needs 3/4 cup of oil. Rachel is making 2/3 of the recipe. How much oil does she need? ______ d) Which expression represents "half of three-fifths"? A) 1/2 + 3/5 B) 1/2 × 3/5 C) 1/2 ÷ 3/5 D) 3/5 ÷ 1/2 **5. Comparing and ordering numbers** Order these numbers from least to greatest ([Outcome](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34143), [Details](https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20867)): −3/4, 0.6, −1.2, 5/8, −0.3, 1 ______________________________________________________ Complete the table by writing the absolute value of each number. | Value | Absolute value | |---|---| | −9 | ______ | | 3/4 | ______ | | −2.5 | ______ | | 7 | ______ | **6. Order of operations** Evaluate each expression, following the standard order of operations. a) (−2) + 3 × (−4) = ______ b) (5 − 8) ÷ (−3) = ______ c) 1/2 + 1/4 × 2 = ______ d) (−6) × (2 − 5) + 4 = ______ ## Answer key 1. a) −3 b) 11 c) 3 d) −19 2. a) B b) A c) A d) B 3. a) 1 7/12 b) 1 1/2 c) 1 3/8 km d) 13/24 m 4. a) 2/5 b) 8/21 c) 1/2 cup d) B 5. Order: −1.2, −3/4, −0.3, 0.6, 5/8, 1. Absolute values: 9, 3/4, 2.5, 7 6. a) −14 b) 1 c) 1 d) 22 --- *AILI homework sheet · language en · model claude-sonnet-5 · generated 2026-09-17 · id 19b782c8-6332-4d9c-8d91-095c6f43c810* ### Sources - node:n1: Number (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34135) - node:n2: Develop number sense. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34136) - node:n3: Demonstrate an understanding of the relationship between positive terminating decimals and positive fractions and betwee (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34140) - node:n4: Demonstrate an understanding of adding and subtracting positive fractions and mixed numbers, with like and unlike denomi (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34141) - node:n5: Demonstrate an understanding of addition and subtraction of integers, concretely, pictorially and symbolically. [C, CN, (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34142) - node:n6: Compare and order positive fractions, positive decimals (to thousandths) and whole numbers by using: - benchmarks - plac (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/34143) - node:n7: Number: Numbers are organized into systems with unique notation to communicate quantities and to facilitate calculations (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20863) - node:n8: How can the symmetry of the number line contribute to a sense of number? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20864) - node:n9: Students analyze positive and negative numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20865) - node:n10: Details (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20867) - node:n11: How can operations on positive and negative numbers be understood? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20870) - node:n12: Students apply operations to positive and negative numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20871) - node:n13: Details (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20873) - node:n14: How can multiplication and division be generalized? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20890) - node:n15: Students interpret multiplication and division of positive fractions and of positive decimal numbers. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20891) - node:n16: Details (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20893) - node:n17: In what ways can proportional relationships be characterized? (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20908) - node:n18: Students analyze multiplicative relationships between equivalent ratios. (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20909) - node:n19: Details (https://goa-cc-uat-aili-app-001.azurewebsites.net/explore/node/20911)