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Q: What are the advantages of using powers of ten notation?

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Decimal notation is.

6 x 104

The form that uses only powers of ten are logarithms to base 10. The scientific notation does use powers of ten but the original number is also used in this representation.

10 to the 3rd power

Multiplying each factor by powers of ten

The are used to represent numbers using powers of ten.

3582 * 109 = 3.582 X 1012 ===========

scientific notation or standard form

That's called scientific notation.

It is: 1.0*10^12

The units of the metric system are all designed to convert by powers of ten, so for example, ten millimeters is a decimeter, ten decimeters is a centimeter, ten centimeters is a meter, etc. When you have a large number of powers of ten, you can conveniently describe it by means of scientific notation, using exponents. So, a trillion meters is 1012 meters.

when you work with scientific notation you get to use the powers of ten

Expanded Notation of 1,294 = (1 x 103) + (2 x 102) + (9 x 101) + (4 x 100)

Expanded Notation of 1,294 = (1 x 1,000) + (2 x 100) + (9 x 10) + (4 x 1)

4.82 X 10 to the power of 3

(4 * 103) + (7 * 102) + (6 * 101) + (8 * 100).

Scientific notation is used to show numbers raised to powers of ten. Pluto is a planet. Therefore, Pluto cannot be put into scientific notation because there are no numbers in Pluto to put to a power of ten...

1,494 = (1 x 103) + (4 x 102) + (9 x 101) + (4 x 100)

300

Expanded Notation of 525 = (5 x 102) + (2 x 101) + (5 x 100).

Expanded Notation of 267,853 = (2 x 105) + (6 x 104) + (7 x 103) + (8 x 102) + (5 x 101) + (3 x 100).

The exponential or scientific notation is 2.051 × 107

If you are adding or subtracting two numbers in scientific notation, you must rewrite one of the numbers to the same power of ten as the other, before performing the addition (or subtraction).

Primarily because we count in tens and the SI system is based on powers of ten.

Your 76,254,048,000,000,000,000,000 is 7.6254048 x 1022 in scientific notation. Note that there is only onedigit to the left of the decimal, and the rest of the quantity is expressed in powers of ten.