Skip to content### 1.1 Scientific notation

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A number is expressed in **scientific notation** if it is in the form *c* 10* ^{n}* where 1

**Exercises**

- A single red blood cell is about 0.000007 meters in diameter. How would you write this number in scientific notation?
- Pollen grains cause allergies in many people, but they usually are too small to see. A grain of ragweed pollen, for example, is only 0.00002 meters in diameter. How is this number written in scientific notation?
- In October 2012, Hurricane Sandy devastated several Atlantic seaboard states in the U.S. The total cost of the storm is hard to estimate, but it’s probably at least $65,000,000,000. How would you write this number in scientific notation?
- A lab technician counts red blood cells in a smear of a patient’s blood on a microscope slide. From this number, she will estimate the number of red blood cells in a microliter of the patient’s blood. The normal number is about 5,000,000 red blood cells per microliter. What is this number in scientific notation?
- Viruses are another common cause of human illness. They are even smaller than pollen grains. A typical virus is only about 0.00000002 meters in diameter. Express this number in scientific notation.

**Multiplication** (the “easy” operation – remember that you just need to multiply the main numbers and add the exponents).

**Example**

The volume of concrete that was used to construct the Hoover Dam is about 3,325,000 cubic yards. One cubic yard of concrete weighs about 4050 pounds. About how many pounds of concrete were used to construct the Hoover Dam?

**Solution**

Pounds of concrete = Weight per cubic yard Number of cubic yards

= 4050 3,325,000

= (4,05 10^{3})(3.325 10^{6})

= 1.346625 10^{10}

Xeni

March 3, 2021 @ 7:20 am

Thank you