1Mark each statement true (✓) or false (✗): (a) Zero is a positive number. (b) A number greater than zero lies to the right of the point of origin. (c) A number that is 1 unit smaller than a given number lies to the right of that number. (d) Negative integers lie to the left of the point of origin. (e) Of -6 and -5, the greater integer is -6.
2Pick out the integers from these numbers: -2, 0, -5, 40, 1.5, \( \frac{1}{2} \), 0.66, -75, 100, \( \frac{2}{3} \)
3Using the number line, write the number that lies 4 units to the left of each of these: (a) 6 (b) -2 (c) 0 (d) 3 (e) -5
4Put the sign (>) or (<) between each pair of numbers: (a) -2 and 0 (b) -12 and -5 (c) -21 and -23 (d) -8 and 8 (e) -33 and 0
5Arrange these integers from smallest to greatest: (a) -2, 0, -6, 4, 1 (b) 5, 8, -3, -4, 0, 9 (c) -40, 33, 11, -15, -22, 2
6Using the number line, write the integers lying between each pair: (a) -2 and 3 (b) -8 and -15 (c) -7 and 0 (d) -13 and -18
7Place A is 5 km east of a temple and place B is 3 km west of the temple. Show this information on a number line using integers, and also find the distance between A and B.
8Where and how are integers used in our daily life? Write six examples.
9The sum and product of two whole numbers are always whole numbers. Why is this not true for subtraction? Explain with an example.
10Why is zero called the point of origin? Answer briefly.
11The temperature of a place was -3 degrees in the morning and rose to 4 degrees in the afternoon. On a number line, which of the two lies to the right, and how many degrees apart are they?
12Is there any integer lying between -1 and 1? Give a reason.