Question 7 - Figure it out - Page 122, 123 - Chapter 5 Class 8 - Number Play (Ganita Prakash)

Transcript

Question 7 When divided by 7, the number 661 leaves a remainder of 3, and 4779 leaves a remainder of 5. Without calculating, can you say what remainders the following expressions will leave when divided by 7? Show the solution both algebraically and visually. (i) 4779 + 661 (ii) 4779 – 661Given: 661÷7→ Remainder 3 4779÷7→ Remainder 5 For (i): 4779 + 661 We don't need to add the big numbers. Just add their remainders! 3+5=8 Divide that result by 7 : 8÷7→" Remainder " 𝟏 Thus, remainder is 1 Let’s try to look at it visually For (ii): 4779 - 661 Subtract the remainders: 5−3=2 The remainder is 𝟐. Let’s try to look at it visually