The width of a red blood cell is approximately 8 micrometers, which is 8 x 10-6 meter. Give your answers to the questions below in scientific notation. Be sure to answer both A and B, and explain your answer to B.


A. What would be the width of 7.2 x 105 red blood cells in meters?


B. If a grain of salt is .5mm wide, how many red blood cells could fit across one grain of salt? Explain your answer. (Hint: 1mm = 1 X 10-3 m.)

Respuesta :

Answer:

A. 756

B. 69.44 or 62.5

Step-by-step explanation:

To get the answer for B you first convert 0.5mm to micrometers.

0.5 millimeters = 500 micrometers

Now, we divide 500 by 8

500 ÷ 8 = 62.5

To get the exact result, we divide 500 by 7.2

500 ÷ 7.2 = 69.44

Answer:

A)  [tex] 5.76\text{ meters}[/tex]

B)  62

Step-by-step explanation:

The width of a red blood cell is approximately 8 micrometers [tex]=8\times 10^{-6}[/tex] meters

Part A)

Width of 1 red blood cell [tex]=8\times 10^{-6}[/tex] meters

width of [tex]7.2\times 10^5[/tex] red blood cells [tex]=7.2\times 10^5\times 8\times 10^{-6}[/tex] meters

                                                                [tex]=7.2\times 8\times 10^5\times 10^{-6}[/tex]

                                                                [tex]=57.6\times 10^{-1}[/tex]

Now change into scientific notation. So, decimal should be between 1 to 10

Decimal move 1 digit right to left

                                                                [tex]=5.76\times 10^1\times 10^{-1}[/tex]

                                                                [tex]=5.76\text{ meters}[/tex]

Hence, the width of red blood cells is [tex] 5.76\text{ meters}[/tex]

Part B)

If a grain of salt is 0.5 mm wide.

First convert mm to m. ( 1 mm = 1 × 10⁻³ m)

Therefore, 0.5 mm = 5 × 10⁻⁴ m

[tex]\text{Number of red blood cells fit}=\dfrac{\text{Size of grain}}{\text{Size of a red blood cell}}[/tex]

Size of a grain = 5 × 10⁻⁴ m

Size of a blood cell = 8 × 10⁻⁶ m

[tex]\text{Number of red blood cells fit}=\dfrac{5\times 10^{-4}}{8\times 10^{-6}}[/tex]

[tex]\text{Number of red blood cells fit}=62.5[/tex]

Hence, 62 number of red blood cells fit in a grain of salt.

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