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Scientific Notation

Scientific notation is the expression of a number based on the largest exponent of 10 for its value, where the form is a decimal number A x 10n.

6,389 Questions

What is 7.2 x 10 to the -4 power?

7.2 × 10-4 written in regular notation is 0.00072

What is 1.75 times 10 to the power of 5 divided by one and three quarters times ten to the power of six with work shown?

(1.75 x 10^5) ÷ (1 3/4 x 10^6) = (1.75 x 10^5) ÷ ((1 + 3 ÷ 4) x 10^6) = (1.75 x 10^5) ÷ (1.75 x 10^6) = (1.75 ÷ 1.75) x 10^(5-6) = 1 x 10^-1 = 10^-1 = 1/(10^1) = 1/10 = 0.1

Why judges use scientific notation?

I think it is Scientists that use scientific notation. It makes the calculation of numbers much easier, particularly if there are several numbers.

Consider 312 x 3012 x 2043004 x 17 =? becomes [and check my math]

3.12x102 x 3.012x103 x 2.043004x106 x 1.7x101 = ?

Now multiply the small (decimal) numbers, and add the powers to get the answer.

3.12 x 3.012 x 2.043004 x 1.7 x 1012. = 3.263831x101x1012 = 3.263831x1013.

That's a lot easier than trying to manipulate all those zeroes on the page!

What is 1 x 10 to the power of 2?

1 x 10 to the power of 2 is 1 x 102 or 10 x 10 or 100