Find the following product: (-21) × (-30) Solution (-21) × (-30) By the rule of Multiplication of integers, = (-21) × (-30) = 630 … [∵ (- × – = +)]... View Article
Find the following product: (-1) × 225 Solution (-1) × 225 By the rule of Multiplication of integers, = (-1) × 225 = -225 … [∵ (- × + = -)] Answer... View Article
Find the following product: 3 × (-1) Solution 3 × (–1) By the rule of Multiplication of integers, = 3 × (-1) = -3 … [∵ (+ × – = -)] Answer... View Article
Fill in the blanks to make the statement true: (- 4) + [15 + (-3)] = [- 4 + 15] +………… (– 4) + [15 + (–3)] = [– 4 + 15] +………… Solution:- Let us assume the missing integer be x, From... View Article
Fill in the blanks to make the statement true: [13 + (- 12)] + (…………) = 13 + [(-12) + (-7)] [13 + (– 12)] + (…………) = 13 + [(–12) + (–7)] Solution:- Let us assume the missing integer... View Article
Fill in the blanks to make the statement true: 17 + ………… = 0 17 + ………… = 0 Solution:- Let us assume the missing integer be x, From given details, the equation becomes = 17 +... View Article
Fill in the blanks to make the statement true: -53 + ………… = -53 –53 + ………… = –53 Solution:- Let us assume the missing integer be x, From given details, the equation... View Article
Fill in the blanks to make the statement true: (-5) + (- 8) = (- 8) + (…………) (–5) + (– 8) = (– 8) + (…………) Solution Let us assume the missing integer be x, From given... View Article
In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order? Solution From the given data Score of team A = -40, 10, 0 Score of team B = 10, 0, -40 Total score by Team A= – 40 + 10 + 0 = –... View Article
Write a negative integer and a positive integer whose difference is – 3. Write a negative integer and a positive integer whose difference is – 3. Solution:- = – 10 – (7) = – 10 – 7 =... View Article
Write a negative integer and a positive integer whose sum is – 5. Write a negative integer and a positive integer whose difference is – 5. Solution:- = – 65+ 60 = -5 Answer 60 and -65 a... View Article
Write a pair of negative integers whose difference gives 8 Write a pair of negative integers whose difference gives 8 Solution:- = (-8) – (- 10) = -8 + 10 … [∵ (- × – = +)] =... View Article
Write down a pair of integers whose sum is 0 sum is 0 Solution:- = – 30 + 30 = – 30 + 30… [∵ (+ × – = -)] = 0 Answer – 5... View Article
Write down a pair of integers whose difference is – 10 difference is – 10 Solution:- = -78 – (-68) = – 78 + 68 … ] = -10 Answer – 78 and - 68 are pair of integers... View Article
Write down a pair of integers whose sum is -7 sum is -7 Solution:- = – 5 + (-2) = – 5 – 2 … [∵ (+ × – = -)] = – 7 Answer – 5 and – 2... View Article
A water tank has steps inside it. A monkey is sitting on the topmost step (i.e., the first step). The water level is at the ninth step. (i) He jumps 3 steps down and then jumps back 2 steps up. In how many jumps will he reach the water level? (ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step? ](ii) After drinking water, he wants to go back. For this, he jumps 4 steps up and then jumps back 2 steps down in every move. In how many jumps will he reach back the top step? Let us assume that the steps moved down be denoted by positive integers. The steps moved up be denoted by negative integers. (i)... View Article
Use the sign of >, < or = in the box to make the statements true: - 231 + 79 + 51 [ ] -399 + 159 + 81 – 231 + 79 + 51 [ ] -399 + 159 + 81 Solution:- Considering Left Hand Side (LHS) we get = – 231 + 79 + 51 = – 231 + 130 =... View Article
Use the sign of >, < or = in the box to make the statements true: 39 + (-24) - (15) [ ] 36 + (-52) - (- 36) 39 + (-24) – (15) [ ] 36 + (-52) – (- 36) Solution:- Considering Left Hand Side (LHS) we get = 39 + (-24) – 15 = 39... View Article
Use the sign of >, < or = in the box to make the statements true: 23 - 41 + 11 [ ] 23 - 41 - 11 (c) 23 – 41 + 11 [ ] 23 – 41 – 11 Solution:- Considering Left Hand Side (LHS) we get = 23 – 41 + 11 = 34 – 41... View Article
Use the sign of >, < or = in the box to make the statements true: (-3) + 7 - (19) [ ] 15 - 8 + (-9) (-3) + 7 – (19) [ ] 15 – 8 + (-9) Solution:- Considering Left Hand Side (LHS) we get (-3) + 7 – 19 = -3 + 7 – 19 = -22 +... View Article