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

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