# Mathematics Questions and Answers – Comparing Very Small and Large Number

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This set of Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Comparing Very Small and Large Number”.

1. Mass of object A is 120000 and that of B is 0.240. Compare their masses.
a) Mass of Object B is approximately is 105 times larger than A
b) Mass of Object A is approximately is 105 times larger than B
c) Mass of Object A is approximately is 106 times larger than B
d) Mass of Object B is approximately is 106 times larger than A

Explanation: $$\frac{mass\, of\, object\, A}{mass\, of\, object\, B} = \frac{1.2 × 10^5}{2.4 × 10^{-1}} = \frac{1.2 × 10^6}{2.4}$$
⇒ Mass of Object A is approximately is 106 times larger than B.

2. Compare the radius of circle P (r1 = 10.2 × 10-6) with the radius of circle B (r1 = 0.2 × 10-5).
a) r1 = 6.1r2
b) r2 = 5r1
c) r1 = 5r2
d) r1 = 5.1r2

Explanation: $$\frac{r_1}{r_2} = \frac{10.2 × 10^{-6}}{0.2 × 10^{-5}} = \frac{10.2 × 10^{-1}}{0.2}$$ = $$\frac{1.02}{0.2}$$ = 5.1.

3. Mass of a neutron is 1.675 × 10-27 and mass of proton is 1.672 × 10-27. Find the total mass.
a) 3.347 × 10-27
b) 3.337 × 10-27
c) 3.447 × 10-27
d) 3.357 × 10-27

Explanation: Total mass = mass of neutron + mass of proton = 1.675 × 10-27 + 1.672 × 10-27 = (1.675 + 1.672) × 10-27 = 3.347 × 10-27.

4. Distance between A to C is 2.1 × 1011 and that of A to B is 3.12 × 109. Find the distance between B and C.

a) 2.1312 × 1011
b) 2.0412 × 1011
c) 2.1312 × 1011
d) 2.1312 × 1010

Explanation: Distance between B and C = AC – AB = 2.1 × 1011 – 3.12 × 109 = (2.1 + 0.0312) × 1011 = 2.1312 × 1011.

5. Compare volumes of cube A having side 2 × 102 m and cube B having side 1 × 101 m.
a) V1 = 800V2
b) V1 = 8000V2
c) V2 = 8000V1
d) V2 = 800V1

Explanation: volume of cube A = (2 × 102)3 = 8 × 106 m3.
⇒ Volume of cube B = (101)3 = 103
⇒ $$\frac{V_1}{V_2} = \frac{8 × 10^6}{10^3}$$ = 8000.