Question

The size of a red blood cell is 0.000007 m and that of a plant cell is 0.00001275 m. Show that a red blood cell is half of the plant cell in size.

Answer 1

The size of a red blood cell is 0.000007 m           (given)

     0.000007 m

   = $\frac{7}{1000000}$ m

   = 7 × 10⁻⁶m

Size of a plant cell is 0.00001275 m.

= 0.00001275 m.

= $\frac{127}{100000000}$

= 127 × 10⁻⁸m

= 1.275× 10⁻⁵m

Now RBC / Plant cell =  7 × 10⁻⁶m/ 1.275× 10⁻⁵m

                                   = 7 × 10⁻¹/ 1.2735m

                                   = 0.7/ 1.275m            

                                   = 0.7 / 1.3           ( 1.275 = 1.3 )

                                  = $\frac{1}{2}$ ( approx)

∴ the size of RBC is half of size of plant cell. proved.

Ans :- Hence proved that the size of RBC is half of size of plant cell.

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Answer 2

Given

red blood cell is 0.000007 m

plant cell is 0.00001275 m

To prove

a red blood cell is half of the plant cell in size

solution

we are provided with the size of a blood cell as well as the size of a plant cell and asked to show that the size of a blood cell would be half to that of a plant cell size.

The given size of the plant cell as provided in decimal form is

0.00001275m

writing it in scientific notation

or, 1.275 × 10^(-5)m

or, 12.75 × 10^(-6)m. ...........(1)

similarly the given size of a red blood cell as provided in decimal form is

0.000007 m

or, 7× 10^(-6)m ...............(2)

dividing the number obtained in (1) by two,

we get,

(12.75 × 10^(-6))/2

or, 6.375 × 10^(-6)m

which is approximately equal to the obtained value in (2).

{It should be noted that these values are extremely small to measure and the digits after the decimal point would be basically rounded off to make it a whole number. In practical cases, we generally take the highest value possible, in this case it would be 7 rather than neglecting the digits after decimal point which we primarily do for subjects like physics }

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