Final answer:
The number 9.768 is greater than 9.7600 because the thousandths place in 9.768 is 8, which is greater than the 0 in the equivalent place in 9.7600. Both numbers are greater than 9.848 percent, since 9.848% converts to 0.09848 in decimal form.
Step-by-step explanation:
To determine which number is greater between 9.768 and 9.7600, we can compare the digits from left to right. Both numbers have the same whole number part, '9', and the same tenth value, '0.7'. When comparing the hundredths place, both numbers have '6'. However, when we compare the thousandths place, '9.768' has '8' while '9.7600' has '0'. Since '8' is greater than '0', the number 9.768 is greater than 9.7600.
Concerning the comparison with 9.848 percent, a percent is a different representation of a number than its decimal form. To convert a percent to a decimal, you divide it by 100. For example, 9.848% is equivalent to 0.09848 in decimal form. Therefore, both 9.768 and 9.7600 are greater than 0.09848, as they are both greater than 1.
To make a number higher than 9.848 percent, it would need to be a larger decimal or percent value. For instance, to increase 9.848 percent, you could add more to it, or multiply it by a factor that would result in a value greater than 9.848 percent.