To find \( 23 \times 4 \), we are looking for expressions that represent the same multiplication. Let's break down the options:
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\(23 + 23 + 23 + 23\): This expression adds \( 23 \) four times, which is equivalent to \( 23 \times 4 \). (Valid)
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\(2, \text{thirds} + 2, \text{thirds} + 2, \text{thirds} + 2, \text{thirds}\): Assuming '2 thirds' represents a quantity rather than effectively multiplying 23, this does not relate back to \( 23 \times 4 \). (Not valid)
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\(43 + 43 + 43\): This adds \( 43 \) three times, which does not equal to \( 23 \times 4 \). (Not valid)
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\(4, \text{thirds} + 4, \text{thirds}\): Similar to option 2, this doesn't hold as a valid expression for \( 23 \times 4 \). (Not valid)
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\((4 \times 3)2\): This is unclear, but \( (4 \times 3) \times 2 \) would equal \( 24 \), which isn't \( 23 \times 4\). This seems to misrepresent the multiplication. (Not valid)
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\((2 \times 4 , \text{thirds})\): Assuming this means \( 2 \times 4 = 8 \), the units do not match the \( 23 \). (Not valid)
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\((4 \times 2)3\): This is unclear. If it's meant as \( (4 \times 2) \times 3 = 24 \), it doesn't match \( 23 \times 4 \). (Not valid)
To directly conclude:
- Valid expressions to represent \( 23 \times 4 \):
- \(23 + 23 + 23 + 23\)
None of the others correctly represent \( 23 \times 4 \).
- Final Answer: Only one valid expression exists: \( 23 + 23 + 23 + 23 \).
If you intended to look for three different valid conversions from possible expressions that point to computing \( 23 \times 4 \), there may need some alternate interpretations, as the currently assessed expressions do not yield sufficient valid options.
7 answers