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------------------------------------------------ Which ordinal numbers match the cardinal numbers below? Check all that apply.

[tex]$43, 71, 152$[/tex]

A. [tex]$43^{\text{st}}$[/tex]

B. [tex]$71^{\text{st}}$[/tex]

C. [tex]$157^{\text{th}}$[/tex]

D. [tex]$152^{\text{nd}}$[/tex]

E. [tex]$43^{\text{rd}}$[/tex]

F. [tex]$71^{\text{th}}$[/tex]

To determine the correct ordinal numbers that match the given cardinal numbers 43, 71, and 152, we need to assign the appropriate ordinal suffixes to each number. Here's the detailed process:

### Step-by-Step Solution

1. Understand Ordinal Suffixes:
- Ordinal numbers typically end with the following suffixes based on the last digit or last two digits of the number:
- 1: "st" (first, 21st, 31st)
- 2: "nd" (second, 22nd, 32nd)
- 3: "rd" (third, 23rd, 33rd)
- All other numbers end in "th" (fourth, fifth, etc.).
- Special Rule: For numbers ending in 11, 12, and 13, the suffix is always "th" (11th, 12th, 13th).

2. Apply Suffixes to the Given Numbers:
- 43: The last digit is 3, so the suffix should be "rd", making it 43rd.
- 71: The last digit is 1, so the suffix should be "st", making it 71st.
- 152: The last digit is 2, so the suffix should be "nd", making it 152nd.

3. Identify the Correct Options:
- We match the correctly formed ordinal numbers with the options provided:
- A. 43st → Incorrect (should be 43rd)
- B. 71st → Correct
- C. 157th → Does not match any given number.
- D. 152nd → Correct
- E. 43rd → Correct
- F. 71th → Incorrect (should be 71st)

Based on these observations, the correct options are:

- B. 71st
- D. 152nd
- E. 43rd

### Final Answer:
The ordinal numbers that match the given cardinal numbers 43, 71, and 152 are options B, D, and E.