How are scientific notations useful in presenting data? Explain with examples
Answers
Answer:
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Explanation:
Scientific notation is a way of expressing real numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form in the UK. This base ten notation is commonly used by scientists, mathematicians, and engineers, in part because it can simplify certain arithmetic operations. On scientific calculators it is usually known as "SCI" display mode.In scientific notation, all numbers are written in the form
m × 10n
or m times ten raised to the power of n, where the exponent n is an integer, and the coefficient m is any real number. The integer n is called the order of magnitude and the real number m is called the significand or mantissa.[1] However, the term "mantissa" may cause confusion because it is the name of the fractional part of the common logarithm. If the significand is negative then a minus sign precedes m, as in ordinary decimal notation. In normalized notation, the exponent is chosen so that the absolute value (modulus) of the significand m is at least 1 but less than 10.
Decimal floating point is a computer arithmetic system closely related to scientific notation.
An electron's mass is about 0.000000000000000000000000000000910938356 kg.[23] In scientific notation, this is written 9.10938356×10−31 kg (in SI units).
The Earth's mass is about 5972400000000000000000000 kg.[24] In scientific notation, this is written 5.9724×1024 kg.
The Earth's circumference is approximately 40000000 m.[25] In scientific notation, this is 4×107 m. In engineering notation, this is written 40×106 m. In SI writing style, this may be written 40 Mm (40 megametres).
An inch is defined as exactly 25.4 mm. Quoting a value of 25.400 mm shows that the value is correct to the nearest micrometre. An approximated value with only two significant digits would be 2.5×101 mm instead. As there is no limit to the number of significant digits, the length of an inch could, if required, be written as (say) 2.54000000000×101 mm instead.