I. State whether the following statements are True or False:
(i) 0 is to the left of all negative numbers on the number line.
(ii) 3 is greater than -3333.
(iii) will lie to the right of the mid-point between 1 and 2 on the number line.
(iv) will lie to the left of the mid-point between 1 and 2 on the number line.
(v) If a decimal fraction is non-terminating and non-recurring, it is known as a rational number.
(vI) The rational number lies between
and
II. How many natural numbers lie between 212 and 2120?
III. How many integers lie between -219 and +2190?
IV. Write the following numbers in descending order: (i) -213, +126, -212, +127, -127 (ii) ,
(iii)
(iv) -2.3838, -2.3388, -2.8838, -2.8833, -2.3883 (v)
V. Write the following numbers in ascending order: (i) +418, -481, -418, +481, -841 (II) (iii)
(iv)
(v)
VI. Insert a rational number between the following pairs of numbers: (i) -0.001 and +0.001 (ii) -8 and -3 (iii) 85 and 86 (iv) 5.5 and 6 (v) and
(vi)
(vii) 3.0688 and 3.0699 (viii) 5.2168 and 5.2169 (ix)
(x)
VII. Insert 2 rational numbers between the following numbers: (a) 3.18 and 3.19 (b)
VIII. Represent the following rational numbers on the number line:
(i) (ii)
(iii)
(iv)
(v)
IX. Which of the following rational numbers will have a terminating decimal value? (a) (b)
(c)
(d)
(v)
X. Convert each of the following decimal fractions in the form , where p and q are both integers, but q is not zero: (a) 0.32 (b) 0.42 (c) 0.85 (d) 1.875 (e) 0.4375 (f)
(g)
(h)
(i)
(j)
We will continue this series later…
Regards,
Nalin Pithwa