Final answer:
To express the number 107,012 in expanded form, break it down by place value to 100,000 + 7,000 + 10 + 2. The standard form is the usual way of writing the number, which is 107,012.
Step-by-step explanation:
In response to the student's request to represent the number "107,012" in both expanded and standard forms, the expanded form breaks down the number into its constituent place values. For "107,012," this translates to 100,000 + 7,000 + 10 + 2. Each part corresponds to its respective place in the number, emphasizing the value each digit holds within the whole. On the other hand, the standard form is the conventional and straightforward way of writing the number, which is "107,012." It's a concise representation of the numerical value without explicitly indicating the individual place values. The expanded form provides a detailed breakdown, offering a clearer understanding of the composition of the number in terms of place value, while the standard form presents the number in its usual written representation, facilitating easy comprehension and communication of numerical information.