Final answer:
The statement is true: multiplying 32 by 1/2 gives 16, and dividing 16 by 1/2 (which is equivalent to multiplying by 2) gives 32.
Step-by-step explanation:
The statement in the question is true. When you multiply 32 by 1/2, you are essentially finding half of 32, which is 16:
32 × 1/2 = 16
However, when you divide 16 by 1/2, you are asking how many halves fit into 16. This can be a bit tricky because dividing by a fraction is the same as multiplying by its reciprocal:
16 ÷ 1/2 = 16 × 2/1 = 32
So, 16 divided by 1/2 is indeed 32, which confirms that the initial statement is true.