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Select the set or sets that the number -0.02 belongs to-

a. Natural numbers
b. Whole numbers
c. Integers
d. Rational numbers

User Eyurdakul
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1 Answer

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Final answer:

The number -0.02 is a rational number because it can be expressed as a ratio of integers. It is neither a natural number, whole number, nor an integer. When expressing numbers in scientific notation or considering significant figures, specific rules apply to maintain accuracy and precision.

Step-by-step explanation:

The number -0.02 belongs to the set of rational numbers. It is not a natural number, as natural numbers are the set of positive integers starting from 1. It is also not a whole number, because whole numbers are the set of natural numbers including zero (0, 1, 2, 3, ...). Integers include whole numbers and their negative counterparts (..., -3, -2, -1, 0, 1, 2, 3, ...), but they do not include fractions or decimals. A number is rational if it can be expressed as a fraction or ratio of two integers, which -0.02 can be (as -2/100 or -1/50), so it is indeed a rational number.

Expressing numbers in scientific notation generally involves writing a number between 1 and 10 multiplied by 10 raised to an exponent. For example:

0.00656 would become 6.56 x 10-3.
  • 65,600 would become 6.56 x 104.

The principle involved is adjusting the decimal point to create a new number that is easier to read and compare, especially when dealing with very large or very small values.

When considering significant figures, the number of significant figures in a measurement includes all known digits plus one uncertain digit. For example, in a measurement like 30.42, there are four significant figures.

User Avinash Dalvi
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