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Why is the size of a decimal number not necessarily determined by the number of decimal places notated?
Updated: 9/23/2023
Digits after (to the right of) the decimal point contribute to the accuracy of the number, not its magnitude (or size). So only the digits to the left of the decimal point contribute to the magnitude.
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Why isn't the size of a decimal necessarily determined by the number of decimal places notated?
Because successive decimal places diminish in value. 0.1 will always be greater than 0.09
One sixth is equal to what decimal?
0.1666...1/6 expressed as a decimal is 0.16666. This can also be notated by 0.16, with a dot above the six to represent a recurring number.
When you multiply a decimal by a whole number is the number of decimal places in the product the same as the number of decimal places in the decimal factor?
This is not necessarily true. 2 x 0.55 = 1.1
What is 5 over 81 as a decimal?
The fraction 5 over 81 as a decimal is 0.061. This can be determined by dividing the top number by the bottom number or 5 divided by 81 to convert it into decimal format.
Can all rational numbers be written as decimal numbers?
Yes; by the definition of an irrational number (a number with an infinite amount of changing decimal digits as the number grows minutely larger), the converse is true about rational numbers a rational number like (1/3) [0.33333333...] can be notated with a bar over any of the digits to notate a repeating decimal digit.
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