Four decimal numbers are given below. Which THREE numbers, when added together, would result in a whole number?
0.9,0.45,0.65,0.3
0.9=9/10
0.45=45/100(9/20)
0.65=65/100(13/20)
0.3=3/10
Can you plz help me!!! Thanks
The three decimal numbers add up to 2.
To find three numbers that, when added together, result in a whole number, we need to check all possible combinations of the given decimal numbers.
Let's evaluate the combinations one by one:
1. 0.9 + 0.45 + 0.65 = 1.95
This sum is not a whole number.
2. 0.9 + 0.45 + 0.3 = 1.65
This sum is not a whole number.
3. 0.9 + 0.65 + 0.3 = 1.85
This sum is not a whole number.
4. 0.45 + 0.65 + 0.3 = 1.4
This sum is not a whole number.
None of the combinations result in a whole number. Therefore, there are no three numbers among 0.9, 0.45, 0.65, and 0.3 that can be added together to get a whole number.
Of course! To find out which three numbers, when added together, would result in a whole number, we need to analyze the decimal parts of each number.
We can do this by subtracting the integer part of each number from the original number. For example, for 0.9, we subtract 0, leaving us with 0.9 - 0 = 0.9.
Next, we need to find the lowest common denominator (LCD) for the decimal parts of these numbers. In this case, we can see that the LCD is 20, as all the denominators (10, 20, 20, and 10) can be evenly divided by it.
Now, let's convert each decimal number into a fraction with the LCD as the denominator:
0.9 = 18/20
0.45 = 9/20
0.65 = 13/20
0.3 = 6/20
We can see that three of these fractions have the same denominator of 20: 18/20, 9/20, and 13/20.
Now, let's add these three fractions together:
18/20 + 9/20 + 13/20 = 40/20 = 2
Since 2 is a whole number, when we add 0.9, 0.45, and 0.65 together, the result is a whole number.
Therefore, the three numbers that would result in a whole number when added together are 0.9, 0.45, and 0.65.