What decimal am I? My digit in the tenth place is twice my digit in the hundredths place.my digit in the hundredths place is odd,but not 1
The only odd hundredth that can double for a single numeral other than one is 3.
.63
To determine the decimal, we will need to find the values of the digits in the tenth and hundredths places. Let's assign variables to these digits to make it easier.
Let's say the digit in the tenth place is represented by the variable 'x' and the digit in the hundredths place by the variable 'y'.
From the given information, we have two conditions:
1. The digit in the tenth place is twice the digit in the hundredths place: x = 2y
2. The digit in the hundredths place is odd, but not 1: y is an odd digit other than 1 (3, 5, 7, or 9)
To find the decimal number, we need to combine the values of x and y. In decimal notation, each place value represents a power of 10. The digit in the tenth place represents 1/10, and the digit in the hundredths place represents 1/100.
Using the given information, we can construct the decimal number as follows:
x * (1/10) + y * (1/100)
Since we know that x = 2y, we can substitute it in the equation:
2y * (1/10) + y * (1/100)
Simplifying the equation:
(2y/10) + (y/100)
Now, we can substitute the possible values for y (3, 5, 7, and 9) and calculate the corresponding decimal values:
For y = 3: (2*3/10) + (3/100) = 0.63
For y = 5: (2*5/10) + (5/100) = 0.75
For y = 7: (2*7/10) + (7/100) = 0.87
For y = 9: (2*9/10) + (9/100) = 0.99
Since y cannot be 1, we check the calculated decimals. Among the four possibilities, the only valid decimal for an odd digit not being 1 is 0.87. Therefore, you are the decimal 0.87.