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ML Aggarwal Class 6 Solutions Chapter 3 Integers Ex 3.4 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 3 Integers Ex 3.4

Question 1.
Find the value of:
(i) 6 – 9 + 4
(ii) -5 – (-3) + 2
(iii) 7 + (-5) + (-6)
(iv) 6 – 3 – (-5)
Solution:

Question 2.
Evaluate the following:
(i) -77 + (-84) + 318
(ii) 54 + (-218) – (-76)
(iii) -121 – (-78) + (-193) + 576
(iv) -65 + (-76) – (-28) + 32
Solution:

Question 3.
Find the value of:
(i) 8 – 6 + (-2) – (-3) + 1
(ii) 31 + (-23) – 35 + 18 – 4 – (-3)
Solution:
(i) 8 – 6 + (-2) – (-3) + 1
= 8 – 6 – 2 + 3 + 1
=-6 – 2 + 8 + 3 + 1
= -6 – 2 + 12
=-8 + 12 = 4

(ii) 31 + (-23) – 35 + 18 – 4 – (-3)
= 31 – 23 – 35 + 18 – 4 + 3
= -23 – 35 – 4 + 31 + 18 + 3
= -23 – 35 – 4 + 52
= -62 + 52 = -10

Question 4.
Rashmi deposited ₹ 4370 in her account on Monday and then withdrew ₹ 2875 on Tuesday. Next day she deposited ₹ 1550. What was her balance on Thursday?
Solution:
Rashmi deposited in her account on Monday = ₹ 4370
Less withdrawal on Tuesday = ₹ 2875
So the Balance on Tuesday
= ₹ 4370 – ₹ 2875
= ₹ 1495
Again she deposited on Wednesday = ₹ 1550
Balance on Thursday
= ₹ 1495 + ₹ 1550 = ₹ 3045

ML Aggarwal Class 6 Solutions Chapter 3 Integers Ex 3.3 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 3 Integers Ex 3.3

Question 1.
Evaluate the following, using the number line:
(i) 4 – (-2)
(ii) -4 – (-2)
(iii) 3 – 6
(iv) -3 – (-5)
Solution:

Question 2.
Subtract :
(i) -6 from 9
(ii) 6 from -9
(iii) -6 from -9
(iv) -725 from -63
(v) -376 from 10
(vi) 92 from -620
Solution:

Question 3.
Evaluate the following:
(i) -237 – (+ 1884)
(ii) -346 – (- 1275)
(iii) -190 – (-3512)
(iv) -2718 – (+ 6827)
Solution:

Question 4.
The sum of two integers is 17. If one of them is -35, find the other.
Solution:

Question 5.
What must be added to -23 to get -9?
Solution:

Question 6.
Find the predecessor of 0.
Solution:

Question 7.
Find the successor and the predecessor of the following integers:
(i) -31
(ii) -735
(iii) -240
Solution:

ML Aggarwal Class 6 Solutions Chapter 3 Integers Ex 3.2 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 3 Integers Ex 3.2

Question 1.
Evaluate the following, using the numbers line
(i) 4 + (-5)
(ii) (-4) + 5
(iii) 7 + (-3)
(iv) -6 + (-2)
Solution:

Question 2.
Evaluate the following :
(i) (-8) + (-14)
(ii) -35 + (-47)
(iii) 91 + (-48)
(iv) (-203) + 501
(v) (-36) + 29
(vi) (-131) + 97.
Solution:

Question 3.
Evaluate the following :
(i) -1083 + (-3974)
(ii) 706 + (-394)
(iii) 1309 + (-2811)
Solution:

Question 4.
Fill in the following blanks :
(i) -(-5) = ……..
(ii) -(-30) = …….
(iii) -(-539) = ………
Solution:

Question 5.
Write down the additive inverses of:
(i) 9
(ii) -11
(iii) -237
(iv) 567
Solution:

ML Aggarwal Class 6 Solutions Chapter 3 Integers Ex 3.1 for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 3 Integers Ex 3.1

Question 1.
Write the opposite of the following:
(i) Loss of ₹ 5000
(ii) 30 km East of Delhi
(iii) 200 m above sea level
(iv) 325 BC
(v) Spending ₹ 2700
(vi) 25°C above freezing point.
Solution:

Question 2.
Write each of the following using appropriate sign ‘+’ or ‘-‘:
(i) Gain of 3 kg Weight
(ii) Earning ₹ 1340
(iii) 20°C below freezing point
(iv) Loss of ₹ 470
(v) Depositing ₹ 2500 in a bank
(vi) 240 m below sea level
(vii) A jet plane flying at a height of 9320 m.
(viii) 6 m down in the basement of a building.
Solution:

Question 3.
In each of the following pairs, which number is to the right of the other on the number line?
(i) 3, 5
(ii) 0, -2
(iii) -3, -5
(iv) 2, -7
Solution:

Question 4.
In each of the following pairs, which number is to the left of the other on the number line?
(i) -3, 0
(ii) 2, -5
(iii) -4, -7
(iv) -10,-16
Solution:

Question 5.
Draw a number line and answer the following questions:
(i) Which integers lie between -9 and -2?
(ii) which is the largest among them?
(iii) Which is the smallest among them?
Solution:

Question 6.
Write four consecutive integers just greater than -9.
Solution:

Question 7.
Write four consecutive integers just before -2.
Solution:

Question 8.
Draw a number line and answerthe following questions:
(i) Which number will we reach if we move 6 units to the right of-1?
(ii) Which number will we reach if we move 7 units to the left of 2?
(iii) In which direction should we move to reach 3 from -3?
(iv) In which direction should we move to reach -8 from -3?
Solution:

Question 9.
Using the number line, write the integer which is:
(i) 5 more than -1
(ii) 5 less than -1
(iii) 7 less than 2
(iv) 3 more than -7
Solution:

Question 10.
Evaluate the following.

Solution:

Question 11.
Use the appropriate symbol < or > to fill in the following blanks:
(i) -3 ………… 7
(ii) 0 ………….. -2
(iii) -10 ………… -11
(iv) -6 …………….. -2
(v) -5 ………….. -13
(vi) -30 …………… -19
Solution:

Question 12.
Arrange the following integers in ascending order:
(i) -5, 3, 0, -9, 2
(ii) -28, -33, 9, -4, -31, -2, 35
Solution:

Question 13.
Arrange the following integers in descending order:
(i) -31,25,-37, 43, 0,-5
(ii) -101, 95, -3, -8, 36, -7, -84
Solution:

Question 14.
State whether the following statements are true (T) or false (F):
(i) 0 is the smallest positive integer.
(ii) Every negative integer is less than every natural number.
(iii) -7 is to the right of-6 on the number line,
(iv) The absolute value of an integer is always greater than the integer.
Solution:

ML Aggarwal Class 6 Solutions Chapter 2 Whole Numbers Check Your Progress for ICSE Understanding Mathematics acts as the best resource during your learning and helps you score well in your exams.

ML Aggarwal Class 6 Solutions for ICSE Maths Chapter 2 Whole Numbers Check Your Progress

Question 1.
Write next three consecutive whole numbers of the number 9998.
Solution:

Question 2.
Write three consecutive whole numbers occurring just before 567890.
Solution:

Question 3.
Find the product of the successor and the predecessor of the smallest number of 3-digits.
Solution:

Question 4.
Find the number of whole numbers between the smallest and the greatest numbers of 2-digits.
Solution:

Question 5.
Find the following sum by suitable arrangements:
(i) 678 + 1319 + 322 + 5681
(ii) 777 + 546 + 1463 + 223 + 537
Solution:

Question 6.
Determine the following products by suitable arrangements:
(i) 625 × 437 × 16
(ii) 309 × 25 × 7 × 8
Solution:

Question 7.
Find the value of the following by using suitable properties:
(i) 236 × 414 + 236 × 563 + 236 × 23
(ii) 370 × 1587 – 37 × 10 × 587
Solution:

Question 8.
Divide 6528 by 29 and check the result by division algorithm.
Solution:

Question 9.
Find the greatest 4-digit number which is exactly divisible by 357.
Solution:

Question 10.
Find the smallest 5-digit number which is exactly divisible by 279.
Solution: