Toppers Study Toppers Study Toppers StudyDetailed NCERT Solutions for 6 Mathematics 6. Integers to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Detailed NCERT Solutions for 6 Mathematics 6. Integers to simplify learning. Understand chapters clearly and practice with free solutions for better results.
Preparing for exams becomes easier with Exercise 6.1. Whether you are studying for board exams or mid-term exams, 6 Mathematics Chapter 6. Integers solutions provide quick revising points, well-structured answers, and additional practice material to help you score better.
ncert_solutionsExercise 6.1
Q1. Write opposites of the following :
(a) Increase in weight
(b) 30 km north
(c) 326 BC
(d) Loss of Rs 700
(e) 100 m above sea level
Solution: Q1.
(a) Increase in weight
Answer : Decrease in weight
(b) 30 km North
Answer : 30 km Sounth
(c) 326 BC
Answer : 326 AD
(d) Loss of Rs 700
Answer : Profit of Rs 700.
(e) 100 m above sea level
Answer : 100 m below sea level.
Q2. Represent the following numbers as integers with appropriate signs.
(a) An aeroplane is flying at a height two thousand metre above the
ground.
(b) A submarine is moving at a depth, eight hundred metre below the sea level.
(c) A deposit of rupees two hundred.
(d) Withdrawal of rupees seven hundred.
Solution Q2.
(a) An aeroplane is flying at a height two thousand metre above the
ground.
Answer : + 2000 m
(b) A submarine is moving at a depth, eight hundred metre below the sea level.
Answer : - 800 m
(c) A deposit of rupees two hundred.
Answer : + Rs 200
(d) Withdrawal of rupees seven hundred.
Answer : - Rs 700
Q3. Represent the following numbers on a number line :
(a) + 5
(b) – 10
(c) + 8
(d) – 1
(e) – 6
Solution Q3:
(a) + 5
Answer :
(b) – 10
Answer :
(c) + 8
Answer :
(d) – 1
Answer :
(e) – 6
Answer :
Q4. Adjacent figure is a vertical number line, representing integers. Observe it and locate the following points :
(a) If point D is + 8, then which point is – 8?(b) Is point G a negative integer or a positive integer?
(c) Write integers for points B and E.
(d) Which point marked on this number line has the least value?
(e) Arrange all the points in decreasing order of value.
Solution Q4.
(a) If point D is + 8, then which point is – 8?
Answer : Point F
(b) Is point G a negative integer or a positive integer?
Answer : Negative integer
(c) Write integers for points B and E.
Answer :
(i) For point B : + 4
(ii) For point E : - 10
(d) Which point marked on this number line has the least value?
Answer : Point E has least value.
(e) Arrange all the points in decreasing order of value.
Answer : D, C, B, A, O, H, G, F, E
Q5. Following is the list of temperatures of five places in India on a particular day of the year.
(a) Write the temperatures of these places in the form of integers in the blank column.
(b) Following is the number line representing the temperature in degree Celsius.
Plot the name of the city against its temperature.
(c) Which is the coolest place?
(d) Write the names of the places where temperatures are above 10°C.
Solution Q5:
(a) Write the temperatures of these places in the form of integers in the blank column.
Answer:
(b) Following is the number line representing the temperature in degree Celsius.
Plot the name of the city against its temperature.
(c) Which is the coolest place?
Answer : The coolest place is Siachin
(d) Write the names of the places where temperatures are above 10°C.
Answer : Delhi and Ahmedabad.
Q6. In each of the following pairs, which number is to the right of the other on the number line?
(a) 2, 9
(b) – 3, – 8
(c) 0, – 1
(d) – 11, 10
(e) – 6, 6
(f) 1, – 100
Solution Q6:
(a) 9 is right to 2
(b) –3 is right to –8
(c) 0 is right to –1
(d) 10 is right to –11
(e) 6 is right to –6
(f) 1 is right to –100
Q7. Write all the integers between the given pairs (write them in the increasing order.)
(a) 0 and – 7
(b) – 4 and 4
(c) – 8 and – 15
(d) – 30 and – 23
Solution Q7:
(a) 0 and – 7
Answer : –6, –5, –4, –3, –2, –1
(b) – 4 and 4
Answer : –3, –2, –1, 0, 1, 2, 3
(c) – 8 and – 15
Answer : –14, –13, –12, –11, –10, –9
(d) – 30 and – 23
Answer : –29, –28, –27, –26, –25, –24
Q8. (a) Write four negative integers greater than – 20.
Solution : –19, –18, –17, –16
(b) Write four negative integers less than – 10.
Solution : –11, –12, –13, –14
Q9. For the following statements, write True (T) or False (F). If the statement is false, correct the statement.
(a) – 8 is to the right of – 10 on a number line.
Solution : True (T)
(b) – 100 is to the right of – 50 on a number line.
Solution : False (F)
(c) Smallest negative integer is – 1.
Solution: False (F)
(d) – 26 is greater than – 25.
Solution: False (F)
Q10. Draw a number line and answer the following :
(a) Which number will we reach if we move 4 numbers to the right of – 2.
Solution :
(b) Which number will we reach if we move 5 numbers to the left of 1.
(c) If we are at – 8 on the number line, in which direction should we move to reach – 13?
Solution: We should move to left side.
(d) If we are at – 6 on the number line, in which direction should we move to reach – 1?
Solution: We should move to right side.
Exercise 6.1 are created by experts to give step-by-step explanations. Around 60–70% of exam questions are based on NCERT concepts. Our 6 Mathematics Chapter 6. Integers solutions help you understand the core concepts and practice effectively.
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Every NCERT chapter ends with exercises, and solving them is crucial. Our Exercise 6.1 include complete solutions for 6 Mathematics Chapter 6. Integers exercises. With step-by-step answers, you gain clarity and confidence to attempt similar exam questions.
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Our Exercise 6.1 are useful for both board exams and mid-term exams. For 6 Mathematics, we provide notes, exercises, and important Q&A so that you can revise smartly and write perfect answers in exams.
In short, Exercise 6.1 for 6 Mathematics Chapter 6. Integers are a complete study package. With quick revising points, NCERT exercises, and additional important questions, you can prepare effectively for exams. Make these solutions your study companion and excel in your academic journey.
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