Question

A large bacterium measures 750 micrometers in diameter. One micrometer = 10 − 6 meters. How would you express the diameter of the bacterium in meters using scientific notation? A. 7 . 5 × 10 − 8 B. 750 × 10 − 6 C. 75 × 10 − 5 D. 7 . 5 × 10 − 4

Answer 1

Answer:

7.5 * 10^-4

Step-by-step explanation:

To express this, we will have to multiply 750 by the conversion unit

we have this as;

750 * 10^-6

750 = 7.5 * 10^2

so we have;

7.5 * 10^2 * 10^-6

= 7.5 * 10^(-6+2)

= 7.5 * 10^-4

Answer 2

The diameter of the bacterium in meters using scientific notation is 7.50 × 10^-4

• Length of the bacterium = 750 micrometers
• One micrometer = 10^-6

How to write scientific notation

• Move the decimal point in between the first and second number

• Count the number of digits after the decimal point

Diameter of the bacterium in scientific notation = 7.50 × 10²

Recall one micrometer = 10^-6

So

7.50 × 10² × 10^-6

= 7.50 × 10^(2-6)

= 7.50 × 10^-4

Learn more about scientific notation:

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