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What is the position of a digit in a number that is used to determine the value of the digit?
The PLACE VALUE.
What is the definition of a place value chart?
is a chart used to determind the position and value of a digit in a group of numbers
Is 0.856 greater than 0.8561?
No. Starting with the highest place value column (the one that contains a non-zero digit) that occurs in the numbers, compare place value columns moving right if equal until either all the digits in both numbers have been exhausted (in which case the numbers are equal) or one place value column digit is greater (in which case the number with the greater digit is the greater number). If a place value column is empty in one of the numbers, its value is taken is zero (the digit 0) For 0.856 and 0.8561 the highest place value column used is the tenths, so comparing 0.856 to 0.8561: 8 = 8, so check hundredths 5 = 5, so check thousandths 6 = 6, so check ten-thousandths 0.856 has a blank ten-thousandths column, so it is taken as 0 0 < 1, so 0.856 < 0.8561
How do you calculate the highest digit in a number system?
The highest digit is one less than the base used for counting. So in binary (base 2), the highest digit is 1 In octal (base 8), the highest digit is 7 In decimal (base 10), the highest digit is 9 In hexadecimal (base 16), the highest "digit" is 15. The symbols A, B, C, D, E and F represent the "digits" 10, 11, 12, 13, 14 and 15. And so on.
What digit in 234.896 determines its precision?
The precision of a number is determined by its last digit. The true value lies with a half of the place value of this last digit. In the above case it is the 6, which is in the thousandths place. So the true value lies within half-of-one-thousandths of the given number. That is, it lies in the interval [234.8955, 234.8965]. I use round-to-even, which is the default rounding mode used in IEEE 754 standard for computing functions and operators.
