Concept:Associative property means grouping does not affect result for addition or multiplication, but not for subtraction or division. Multiplicative inverse of a number is its reciprocal (1 divided by that number).
Explanation:Check each option one by one.
Option 1: Multiplication is associative for integers. This is true: (a × b) × c = a × (b × c).
Option 2: Division is not associative for integers. For example, (8 ÷ 4) ÷ 2 = 1, but 8 ÷ (4 ÷ 2) = 4. So this statement is false.
Option 3: Convert
154​ to improper fraction:
59​. Its multiplicative inverse is
95​. So the statement is true.
Option 4: Convert to decimals:
10−7​=−0.7,
5−3​=−0.6,
8−5​=−0.625. Since -0.625 lies between -0.7 and -0.6, the statement is true.
The only false statement is option 2.
Answer:Option 2