If you indicate that the mass of an object is 17.2 grams then this implies that you have measured its mass to be somewhere between 17.195 and 17.205. If, however, you indicate a mass of 17.2153 then it will be understood that you have measured the mass to be between 17.21525 and 17.21535.
In short, the number of decimal points indicates the precision of the measurement (even when those digits are zeroes).
Leaving decimals at the end of a number is to give more accuracy. Sometimes it is needed, sometimes its not though. For example: 8-4= 4. This is a simple subtract sum that needs no decimals. But when working out a sum such as 6/4= 1.5 a decimal is needed. All a decimal shows is a point between two numbers. 1.5 is directly in the middle of 1 and 2. This could be rounded up to 2 but using a decimal makes it more accurate.
non-terminatind decimal: a decimal numeral that does not end in an infinite sequence ofzeros ( contrasted with terminating decimal). terminating decimal: a decimal numeral in which, after a finite number of decimalplaces, all succeeding place values are 0, as 1 / 8 = 0.125 (contrasted with nonterminating decimal).
a terminating decimal.
a repeating decimal
Add a decimal to the end. 2564.
you want to leave decimals at the end of values so that you avoid rounding error when you carry the value through the rest of the problem
Leaving decimals at the end of a number is to give more accuracy. Sometimes it is needed, sometimes its not though. For example: 8-4= 4. This is a simple subtract sum that needs no decimals. But when working out a sum such as 6/4= 1.5 a decimal is needed. All a decimal shows is a point between two numbers. 1.5 is directly in the middle of 1 and 2. This could be rounded up to 2 but using a decimal makes it more accurate.
non-terminatind decimal: a decimal numeral that does not end in an infinite sequence ofzeros ( contrasted with terminating decimal). terminating decimal: a decimal numeral in which, after a finite number of decimalplaces, all succeeding place values are 0, as 1 / 8 = 0.125 (contrasted with nonterminating decimal).
The may give additional precision or may be indicators of the number of significant digits in the calculation. As an example of the latter, 5.000 kilometres is, at first sight, no different from 5 km. But, 5 km could represent any length from 4.5 to 5.5 km (rounded to the nearest integer). Whereas 5.000 km can only range from 4.995 to 5.005 km. This difference is important for error analysis.
A terminating decimal is a decimal number with a definite end. For example, pi has no end and is irrational. 25.33 has an end and is therefore a terminating decimal.
A terminating decimal
Leaving the End Open was created in 2009.
a terminating decimal.
a terminating decimal
a repeating decimal
is known as a terminating decimal.
Add a decimal to the end. 2564.