Final answer:
Expressions eight-ninths times 4,542 and one-half times 4,542 are less than 4,542, corresponding to options C and D.
Step-by-step explanation:
The student is asking which expressions have a value less than 4,542. We'll evaluate each expression.
- Five-thirds times four thousand, five hundred forty-two: (5/3) × 4,542 - This will result in a number greater than 4,542 because 5/3 is greater than 1.
- 1 × 4,542 - This will equal 4,542, so it is not less than 4,542.
- Eight-ninths times four thousand, five hundred forty-two: (8/9) × 4,542 - Since 8/9 is less than 1, this will result in a number less than 4,542.
- One-half times four thousand, five hundred forty-two: (1/2) × 4,542 - Halving the number will definitely give a result less than 4,542.
Therefore, the expressions that result in a value less than 4,542 are the third and fourth ones: eight-ninths times four thousand, five hundred forty-two, and one-half times four thousand, five hundred forty-two. These correspond to option C and D.