To convert 0.264 to a rational number you would set x equal to 0.264 and then multiply both sides of equation by what number
To convert 0.264 to a rational number, you would set x equal to 0.264 and then multiply both sides of the equation by 1000.
0.264 * 1000 = 264
So, the rational number equivalent of 0.264 is 264/1000, which can be simplified to 33/125.
To convert 0.264 to a rational number, you can set x equal to 0.264 and then multiply both sides of the equation by a power of 10. The power of 10 will be determined by the number of decimal places in the original number.
In this case, there are three decimal places in 0.264. So, you would multiply both sides of the equation by 1000 (10 raised to the power of 3). This will eliminate the decimal places and convert the number to a rational form.
Let's go through the steps:
1. Set x = 0.264
2. Multiply both sides of the equation by 1000:
1000x = 0.264 * 1000
1000x = 264
3. Simplify the equation:
x = 264/1000
So, 0.264 as a rational number is 264/1000.