Question

Dan wrote (2 x 10⁶)+(3 x 10⁴)+(5 x 10³)+4 for the expanded form of two millions , three hundred fifty thousand, four. What error did he make in the expanded form? What is the standard form of the number?

Answer 1

Dan mistakenly used 3 x 10⁴ instead of 3 x 10⁵ in the expanded form for two million, three hundred fifty thousand, four. The correct expanded form is (2 x 10⁶) + (3 x 10⁵) + (5 x 10³) + 4, and the standard form is 2,350,004.

Step-by-step explanation:

The student's question is asking about an error in the expanded form of the number two million, three hundred fifty thousand, four, and we need to provide the correct standard form of the number as well.

Dan wrote (2 x 10⁶)+(3 x 10⁴)+(5 x 10³)+4 for the expanded form of the number. The error in this expanded form is that he used 3 x 10⁴ (or 30,000) instead of the correct 3 x 10⁵ (or 300,000) to represent the 'three hundred thousand' part of the number. Thus, the correct expanded form should be (2 x 10⁶) + (3 x 10⁵) + (5 x 10³) + 4.

The standard form of the number two million, three hundred fifty thousand, four would be 2,350,004. Scientific notation simplifies this process and would express the number as 2.350004 x 10⁶, which is a more compact form indicating that the decimal point has moved six places to the right from its original position after the number four.