Exam Prep
Operations with Integers Important Questions for Class 7
Operations with Integers important questions for Class 7 Mathemathics, with audio revision by Harshali Academy.
4-minute audio preview
Important exam questions with answers
Define integers with examples.
Integers are whole numbers including positive numbers, negative numbers, and zero. Examples are 5, -3, 0, 12, and -20.
Find two numbers whose sum is 25 and difference is 11.
The two numbers are 18 and 7 because 18 + 7 = 25 and 18 - 7 = 11.
Explain what happens when the order of subtraction changes with an example.
Changing the order of subtraction changes the sign of the result. For example, 10 - 3 = 7 but 3 - 10 = -7.
Key concepts from this chapter
- Integers include positive numbers, negative numbers, and zero.
- Sum and difference of two integers can be used to find the numbers.
- Subtraction order affects the sign of the result.
- Number line helps visualize addition and subtraction of integers.
- Negative difference means subtracting a larger number from a smaller number, resulting in a negative integer.
Exam preparation focus
In the chapter "Operations with Integers" for Class 7 Mathematics, we meet Rakesh, who challenges us with puzzles involving sums and differences of numbers. For example, he asks us to find two numbers whose sum is 25 and difference is 11, leading us to explore how integers work, especially when negative differences come into play. This chapter explains how subtraction order affects the sign and introduces the number line as a visual tool to understand integers. Harshali Academy presents this chapter to help students grasp these concepts clearly and prepare effectively for exams. By listening to the full "Operations with Integers" lesson on Harshali Academy, students can master these important mathematical operations with ease. For exam preparation, focus on the scoring points below, then use the audio lesson to remember the complete chapter flow.
Hindi explanation
अध्याय "पूर्णांकों के साथ संक्रियाएँ" में, हम राकेश की पहेलियों के माध्यम से पूर्णांकों की समझ प्राप्त करते हैं। इसमें दो संख्याओं के योग और अंतर से संबंधित प्रश्नों को हल करना सीखते हैं। यह अध्याय पूर्णांकों के गुण, ऋणात्मक और धनात्मक संख्याओं के प्रयोग, और संख्या रेखा की मदद से समझाने पर केंद्रित है। हर्षाली अकादमी पर इस अध्याय को सुनकर छात्र गणित को सरलता से समझ सकते हैं।
FAQ
What are integers?
Integers are numbers that include positive numbers, negative numbers, and zero. You can listen to the full explanation on Harshali Academy.
How does the number line help in understanding integers?
The number line visually shows positive numbers to the right and negative numbers to the left, helping students understand addition and subtraction of integers. Harshali Academy lessons use this concept effectively.
Why does changing the order in subtraction change the sign?
Because subtraction is not commutative; subtracting a larger number from a smaller one results in a negative integer. Harshali Academy explains this with clear examples.
How to find two integers if their sum and difference are given?
Use logical reasoning or trial to find numbers where one is bigger and the difference matches the given value. Harshali Academy provides step-by-step guidance on this.
What does a negative difference mean in integers?
A negative difference means subtracting a bigger number from a smaller number, resulting in a negative integer. This concept is well explained in Harshali Academy's audio lessons.
Download the app
Continue the full story-based lesson, Hindi audio, and chapter revision inside Harshali Academy.
Download on Play StoreListen to the full chapter
Use this page for quick understanding, then continue the complete audio lesson, revision flow, and Hindi-English learning support inside Harshali Academy.
Download Harshali Academy