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Choose the correct symbol to complete each statement.

(2 points)
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.
13
foot Response container #1, the symbol that compares 1 third foot to 5 inches5
inches

4
miles Response container #2, the symbol that compares 4 miles to seven thousand yards7,000
yards

8
yards Response container #3, the symbol that compares 8 years to 24 feet24
feet

1 answer

Let's analyze each statement and determine the correct comparison symbol:

  1. Comparing 1 third foot to 5 inches:

    • 1 third foot = \( \frac{1}{3} \) foot = 4 inches (since 1 foot = 12 inches).
    • Since 4 inches (1/3 foot) is less than 5 inches, we use "<".
    • Response for container #1: <

  2. Comparing 4 miles to 7,000 yards:

    • 1 mile = 1,760 yards, thus 4 miles = \( 4 \times 1,760 = 7,040 \) yards.
    • Since 7,040 yards (4 miles) is greater than 7,000 yards, we use ">".
    • Response for container #2: >

  3. Comparing 8 years to 24 feet:

    • The two quantities are not directly comparable in size as they measure different things, but if we can assume we are comparing years (time) to feet (distance), we recognize this is a bit nonsensical. However, 8 years (a time duration) does not have any comparable value to 24 feet (length), and typically one would state that they are not comparable. For the sake of the exercise, we cannot affirm or deny one value being greater or lesser since they measure different things.
    • But if choosing a symbol was necessary, we can arbitrarily state ">" or "<" depending on the context, but no meaningful comparison exists. Let’s abstractly state:
    • Response for container #3: < or any arbitrary choice in that context.

So, putting it all together:

  • Container #1: <
  • Container #2: >
  • Container #3: <

Let me know if further clarification is needed.