Square root of 65 lies between 8.0 and 8.1. Explanation: Squares of natural numbers are {1,4,9,16,25,36,49,64,81,...}, which are squares of {1,2,3,4,5,6,7,8,9,....} As 65 lies between 64 and 81, square root of 65 lies between 8 and 9 Further, 8.12 = 65.61 and as 8.02 = 64, square root of 65 lies between 8.0 and 8.1.
62.05 The hundredths place is the second from the decimal, so you must place a 0 after the decimal and then the number.
They are dense in that between any two decimals you have another one. A much better way to think of it is that a decimal must be either rational or irrational. For example, .34 is certainly rational, but the decimal expansion of square root of 2 goes on forever and is irrational. So a decimal, being either one, must be dense in the reals.
The first place after the decimal point is tenths. The second place after the decimal point is hundredths The third place after the decimal point is thousandths. So the number must extend to the third place after the decimal.
The number 2002 is not square. For a number to be square, its square root must be a whole number (nothing to the right of the decimal). The square root of 2002 is 44.74371464...
The digit at the fourth decimal place is 5. The next digit, 7 is bigger than 5 and so the digit at the fourth decimal place must be rounded up - to 12.4286
The number of decimal places in the product must equal the total number of decimal places in the factors. John's product should have 2 decimal places.
29.9, you must round down in this case
No. A decimal is a representation of a number such that the place value of any digit is ten times the place value of the digit to its right. It does not require a decimal point. So the decimal numbers, 3 and 4, can be multiplied together to give 1100 in binary.
9 and 10
To round 13.681 to once decimal place, you first need to look at the second decimal place and determine it's value. If the number is less than five, you will keep the number that is in the first decimal place. In this case, the number in the hundredths (second) position is an eight, which is greater than five. Therefore, we must change the six to a seven. The answer would be: 13.7
True
The square root of 100 is 10, which is rational. If you must have it in the form of a repeating decimal, you can try either 10.0... or 9.99... which, mathematically, is the same.