Question

Which is the more reasonable measurement of the diameter of a blood cell: 7.4 ⋅ 10−3 mm or 7.4 ⋅ 103 mm? Justify your answer.

Answer 1

I think that it is the first one because it is smaller


hope this helped!!

Answer 2

Answer:

$7.4\times 10^{-3}\ mm$

Step-by-step explanation:

Actual measurement of diameter of a blood cell is 6 to 8 μm

Let diameter be d

$1\mu m=10^{-6}\ m$

$6\times 10^{-6}\ m\leq d\leq 8\times 10^{-6}\ m$

Now we check the given measurement between the range.

• $7.4\times 10^{-3}\ mm$

Change into meter. As we know 1000 mm = 1 m or 1 mm = 10⁻³ m

$7.4\times 10^{-3}\times 10^{-3}\ m$

$7.4\times 10^{-6}\ m$

• $7.4\times 10^{3}\ mm$

$7.4\times 10^{3}\times 10^{-3}\ m$

$7.4\ m$

So, $7.4\times 10^{-6}\ m$ lie between $6\times 10^{-6}\ m\leq d\leq 8\times 10^{-6}\ m$

Hence, $7.4\times 10^{-6}\ m$ more reasonable measurement of diameter of blood cell because it lies between range of diameter of blood cell.