Exercise - 1
Exercise - 1
1. Some integers are marked on the number line. Which is the biggest and which is the smallest?
Sol:
The number of marked = -3 and 2
biggest number = 2
smallest number = -3
2. Write the integers between the pairs of integers given below. Also, choose the biggest and smallest integers from them.
(i) –5, –10
(ii) 3, –2
(iii) –8, 5
Sol:
i) integers between -5,-10 are -6,-7,-8,-9
smallest integer = -9
biggest integer = -6
ii)integer between 3 and -2 are -1,0,1,2
smallest integer = -1
biggest integer = 2
iii) integer between -8 and 5 are 4,3,2,1,0,-1,-2,-3,-4,-5,-6,-7
smallest integer = -7
biggest integer = 4
3. Write the following integers in ascending order (smallest to biggest).
(i) –5, 2, 1, –8
(ii) –4, –3, –5, 2
(iii) –10, –15, –7
Sol:
i) -8,-5,1,2
ii) -5,-4,-3,2
iii) -15,-10,-7
4. Write the following integers in descending order (biggest to smallest).
(i) –2, –3, –5
(ii) –8, –2, –1
(iii) 5, 8, –2
Sol:
i) -2,-3,-5
ii) -1,-2,-8
iii) 8,5,-2
5. Represent 6, –4, 0 and 4 on a number line.
Sol:
figure p.g-13
6. Fill the missing integers on the number line given below.
Sol:
figure p.g-12
7. The temperatures (in degrees Celsius/centigrade) of 5 cities in India on a particular day are shown on the number line below.
(i) Write the temperatures of the cities marked on it?
(ii) Which city has the highest temperature?
(iii) Which city has the lowest temperature?
(iv) Which cities have a temperature of less than 0ºC?
(v) Name the cities with temperatures more than 0ºC?
Sol:
i)The temperatures of the cities shown on the number line are
kasauli=-9ºC
Manali = -7ºC
Nainital = -3ºC
Ooty = 15ºC
ii) The city with the highest temperature is Banglore.
iii) The city with the lowest temperature is Kasauli.
iv) The cities with temperatures less than 0ºC are Nainital.
v) The cities with temperatures more than 0ºC are Ooty and Banglore.
Try This P.g - (3 - 5)
Try This p.g - (3-4)
1. $$9 + 7 = 16$$
$$9 + 1 = $$
$$9 + 6 = 15$$
$$9 + 0 =$$
$$9 + 5 =$$
$$9 + (–1) =$$
$$9 + 4 =$$
$$9 + (–2) =$$
$$9 + 3 =$$
$$9 + (–3) =$$
$$9 + 2 =$$
(i) Now represent 9 + 2, 9 + (–1) and 9 + (–3) on the number line.
(ii) When you added a positive integer, in which direction did you move on the number line?
(iii) When you added a negative integer, in which direction did you move on the number line?
Sol:
$$9 + 7 = 16$$
$$9 + 1 = 10$$
$$9 + 6 = 15$$
$$9 + 0 = 9$$
$$9 + 5 = 14$$
$$9 + (–1) = 8$$
$$9 + 4 = 13$$
$$9 + (–2) = 7$$
$$9 + 3 =12$$
$$9 + (–3) = 6$$
$$9 + 2 =11$$
i) Figure p.g -12
ii) When you add a positive integer you move right side on the number line.
iii) When you add a negative integer you move the left side on the number line.
2. Sangeetha said that each time you add two integers, the value of the sum is greater than the numbers. Is Sangeetha right? Give reasons for your answer
Sol:
Sangeetha is always not correct. when we ad -8 and 3 the sum is (-8) + 3 = - 5 which is less than 3. therefore when we add two positive integers then only the sum is greater than the numbers.
Try This p.g - 5
1. Complete the pattern.
$$8 – 6 = 2$$
$$8 – 5 = 3$$
$$8 – 4 =$$
$$8 – 3 =$$
$$8 – 2 =$$
$$8 – 1 =$$
$$8 – 0 =$$
$$8 – (–1) =$$
$$8 – (–2) =$$
$$8 – (–3) =$$
$$8 – (–4) =$$
(i) Now show 8 –6, 8–1, 8–0, 8–(–2), 8–(–4) on the number line.
(ii) When you subtract a positive integer in which direction do you move on the number line?
(iii) When you subtract a negative integer, in which direction do you move on the number line?
Sol:
$$8 – 6 = 2$$
$$8 – 5 = 3$$
$$8 – 4 = 4$$
$$8 – 3 = 5$$
$$8 – 2 = 6$$
$$8 – 1 = 7$$
$$8 – 0 = 8$$
$$8 – (–1) = 9$$
$$8 – (–2) = 10$$
$$8 – (–3) =11$$
$$8 – (–4) = 12$$
i) Figure p.g-13
ii) When you subtract a positive integer, you move the left side on the number line.
iii) When you subtract a negative integer, you move the right side on the number line.
2. Richa felt that each time you subtract an integer from another integer, the value of the difference is less than the given two numbers. Is Richa right? Give reasons for your answer.
Sol: Richa may not be correct at all times.richa is correct when we subtract a positive integer. But when we subtract a negative the difference is greater than the two numbers.
0 Doubts's