Maharashtra Board Class 7 Chapter 2 Set 8 Multiplication and Division of Integers Solutions

Question 1. Multiply:
1. (-5) × (-7)
2. (-9) × (6)
3. (9) × (-4)
4. (8) × (-7)
5. (-124) × (-1)
6. (-12) × (-7)
7. (-63) × (-7)
8. (-7) × (15)
Answer:
1. 35
2. -54
3. -36
4. -56
5. 124
6. 84
7. 441
8. -105
In simple words: When multiplying integers, if the signs are the same (both positive or both negative), the product is positive. If the signs are different (one positive and one negative), the product is negative.

🎯 Exam Tip: Pay close attention to the signs of the integers. A common mistake is to forget the rule for multiplying two negative numbers, which results in a positive product.

Maharashtra Board Class 7 Maths Chapter 2 Multiplication And Division Of Integers Practice Set 8 Intext Questions And Activities

Question 1. In the previous class, we have learnt to add and subtract integers. Using those methods, fill in the blanks below. (Textbook pg. no. 11)
1. 5 + 7 =
2. 10 + (-5) =
3. -4 + 3 =
4. (-7) + (-2) =
5. (+8) – (+ 3) =
6. (+8) - (-3) =
Answer:
1. 12
2. 5
3. -1
4. -9
5. 5
6. 11
In simple words: To add integers, combine their values considering their signs. To subtract an integer, add its opposite. Remember that subtracting a negative number is the same as adding a positive number.

🎯 Exam Tip: Be careful with subtraction, especially when dealing with double negatives (e.g., subtracting a negative number). This is a frequent area for errors.

Question 2. Write a number in each bracket to obtain the answer '3' in each operation. (Textbook pg. no. 11)
ℹ️ चित्र व्याख्या (Diagram Explanation): यह चित्र एक केंद्रीय संख्या '3' से संबंधित विभिन्न गणितीय संक्रियाओं को दर्शाता है। प्रत्येक ऑपरेशन में एक प्रारंभिक संख्या और एक ऑपरेटर (+ या -) होता है, जिसके बाद एक खाली कोष्ठक होता है, जिसे इस तरह भरना है कि परिणाम हमेशा '3' आए।
Answer:
4 - (1) = 3
(-6) + (9) = 3
7 + (-4) = 3
(-5) - (-8) = 3
9 - (6) = 3
-8 + (11) = 3
In simple words: For each equation, we need to find the missing number in the bracket that makes the operation's result equal to 3. This involves using inverse operations or simple arithmetic to solve for the unknown.

🎯 Exam Tip: Practice working with inverse operations to quickly find missing numbers in equations. Be mindful of positive and negative signs when performing addition and subtraction.

Question 3. Multiply the given integers and complete the table given below. (Textbook pg. no. 12)

Answer:

In simple words: This table demonstrates the multiplication of negative integers with other integers. The key rule is that multiplying two numbers with the same sign (both negative or both positive) results in a positive product, while multiplying numbers with different signs (one negative, one positive) results in a negative product. Multiplication by zero always results in zero.

🎯 Exam Tip: Understanding the rules for multiplying positive and negative integers is crucial. Pay close attention to the signs in each multiplication problem to avoid common errors.