Final answer:
The determining the parts of a percent equation, where 10.6 is 10.6% of 100. Per a percent, you convert it to a decimal and multiply by the base, confirming the original statement. Understanding scientific notation and powers of ten is also relevant when discussing number scaling.
Step-by-step explanation:
The student's calculating percents, which is an aspect of mathematics. When the student states that 10.6 is 10.6% of 100, they are expressing a basic percent relationship. In this case, the amount is 10.6, the base is 100, and the percent is 10.6%.
To elaborate, a percent is a ratio where the denominator is 100. If you have a number like 10.6%, converting it to a decimal involves writing it as a fraction (10.6/100) and then dividing the numerator by the denominator, which gives us 0.106. To find a percentage of a number, you multiply the decimal form by the base. For example, to confirm 10.6 is 10.6% of 100, we multiply the converted decimal 0.106 by 100, and indeed we get 10.6.
Additionally, when we are converting numbers like 965 to proper form using scientific notation, we track the changes made by moving the decimal point and express the shift using a power of ten. Therefore, 965 becomes 9.65 × 10². This also helps in understanding how to scale numbers up or down by multiplying or dividing by powers of ten.