To determine the correct context for the expression [tex]\( 18 \div 2 \)[/tex], let's analyze each of the given options one by one.
### Option 1: 18 cubes arranged in 2 equal piles
This means we need to divide 18 cubes into 2 equal parts. Mathematically, this is represented as [tex]\( 18 \div 2 \)[/tex]. When we divide 18 by 2, it results in 9, which means each pile will contain 9 cubes. This matches the context provided in the option.
### Option 2: 18 cubes arranged in 18 equal piles
This means we need to divide 18 cubes into 18 equal parts. Mathematically, this is represented as [tex]\( 18 \div 18 \)[/tex]. When we divide 18 by 18, it results in 1, which means each pile will contain 1 cube. This does not match the expression [tex]\( 18 \div 2 \)[/tex].
### Option 3: 2 cubes arranged in 18 equal piles
This means we need to divide 2 cubes into 18 equal parts. Mathematically, this is represented as [tex]\( 2 \div 18 \)[/tex]. This operation would result in a fraction, which does not represent the context given by [tex]\( 18 \div 2 \)[/tex].
### Option 4: 18 cubes arranged in 6 equal piles
This means we need to divide 18 cubes into 6 equal parts. Mathematically, this is represented as [tex]\( 18 \div 6 \)[/tex]. When we divide 18 by 6, it results in 3, which means each pile will contain 3 cubes. This also does not match the expression [tex]\( 18 \div 2 \)[/tex].
Upon analyzing all the options, the correct context represented by the expression [tex]\( 18 \div 2 \)[/tex] is clearly:
Option 1: 18 cubes arranged in 2 equal piles
Thus, the correct answer is:
Option 1
