Not necessarily. Consider 444. The digits are not different. The first and second digits are not multiples of 3 The first digit is not greater than the second digit. In spite of all that, 444 is a 3-digit number
Just compare the digits one by one: compare the first digit after the decimal point with the first digit of the other number, the second digit with the second digit, etc., until you find a digit that is different.
First, compare the number of digits. Since they are the same, compare the first (leftmost) digit. Then compare the second digit, etc., continuing until you find a digit that is greater in one number than in the other.
Line them up98999899898998They are of the same length (before the implicit decimal point) so the lengths of the numbers don't play a part.In both cases, the first (left-most) digit is 9 - so no difference.The second digit is 8 - so no difference.The third digit is 9 - so still no difference.The fourth digit is 9 in the first number and 8 in the second. So the first is greater.
If the first digit is 9, you have 9 options (0-8) for the second digit. If the first digit is 8, you have 8 options (0-7) for the second digit. Etc. This leaves you with the arithmetic series: 0 + 1 + 2 + 3 + ... + 9.
A positive number is greater than a negative number. If a positive number is greater than another, the corresponding negative numbers are smaller. For example, since 4 > 3, -4 < -3. For two positive numbers: The number with more digits is greater. If they have the same number of digits, the number with the greater first digit is greater. If they are equal, look at the second digit, which will decide which number is greater, and so forth, up to the last digit. For example, 12500 is greater than 12480: they have the same number of digits, the first two digits are the same, but the third digit is the tie-breaker. For numbers with decimals, first apply the rules above for the whole part. If they are equal, check the first digit after the decimal point, then the second, etc., until you find a "tie-breaker". For example, 0.2522 is more than 0.2517. Once again, the first two digits are the same, the third is the tiebreaker.
Since the integer parts are the same, look at the FIRST digit after the decimal point. The number which has the larger digit there, is the larger number.(And in other cases, if the FIRST digit happens to be the same, use the SECOND digit as a tie-breaker; if those are the same, compare the THIRD digit, etc.)
Yes. For decimal numbers with no significant digit to the left of the decimal point, if the first of two numbers has a higher digit next right from the decimal point than the second number does, the first is always greater.
Ignoring digits after the decimal point, if the number of digits in the numerator is at least two more than the number of digits in the denominator then the quotient is greater than 10.If the number of digits is only one more, then the first digit of the numerator must be greater than the first digit if the denominator. If they are the same, then the second digit of the N must be greater than the second digit of the D. If they are the same, compare the third digits and so on.Other wise, the quotient is not greater than 10.For example, you can multiply the divisor by 10 (just add a zero, if it's a whole number), and check whether the divident is greater than that, or not.