Question

How do these numbers compare? Drag and drop a symbol into the box to correctly compare the numbers. Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse. 3.58 Response area 3 4/7

Answer 1

To compare 3.58 and 3 4/7, we convert 3 4/7 to a decimal, which is approximately 3.5714. As 3.58 is slightly greater, the comparison is 3.58 > 3 4/7.

Step-by-step explanation:

The student is asking to compare two numbers: 3.58 and 3 4/7. To compare these numbers, first convert the mixed number to an improper fraction or a decimal. For 3 4/7, since there are seven sevenths in one whole, 3 whole numbers would be 21/7 plus the additional 4/7, which totals to 25/7. Converting this to a decimal, we divide 25 by 7, giving approximately 3.5714. Comparing the two decimals, 3.58 is slightly greater than 3.5714. Hence, the correct symbol to place in the box for the comparison is '>'. Therefore, 3.58 > 3 4/7.