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Report (any type)/Brief report
22/09/2021
Scientific notation is the way that scientists handle large numbers and small numbers. For example, instead of writing 0.000 000 0056, they write 5.6 × 10⁻⁹.
We can think of 5.6 × 10⁻⁹ as the product of two numbers: 5.6 (the digits) and 10⁻⁹ (the power of 10).
Here are some examples of scientific notation.
1000 = 1 × 10³; 7354 = 7.354 × 10³
100 = 1 × 10²; 482 = 4.82 × 10²
10 = 1 × 10¹; 89 = 8.9 × 10¹
1 = 1 × 10⁰; 6 = 6 × 10⁰
1/10 = 0.1 = 1 × 10⁻¹; 0.32 = 3.2 × 10⁻¹
1/100 = 0.01 = 1 × 10⁻²; 0.053 = 5.3 × 10⁻²
1/1000 = 0.001 = 1 × 10⁻³; 0.0078 = 7.8 × 10⁻³
The exponent of 10 is the number of places we must shift the decimal point to get the scientific notation.
Each place the decimal moves to the left increases the exponent by 1.
Each place the decimal point moves to the right decreases the exponent by 1.
EXAMPLE:
Write the following numbers in scientific notation: 1001;
6 926 300 000; -392; 0.000 000 13; -0.0038
Solution:
1.001 × 10³; 6.9263 × 10⁹; -3.92 × 10²; 1.3 × 10⁻⁷; -3.8 × 10⁻³
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I want to thank your team (Jeff) for finding a new writer when you were unable to reach my existing writer to revise my paper. I appreciate your professionalism and efforts. Thanks
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