If a is divisible by 100, how can it be represented?

If a is divisible by 100, how can it be represented?

• A. As 10a
• B. As 100/a
• C. As 100a
• D. As a/100

Answer: (C)

When a number \( a \) is divisible by 100, it means that \( a \) can be expressed in a form that incorporates 100 as a factor. To represent \( a \) in a way that clearly shows it is a multiple of 100, we can express it as \( 100 \times n \), where \( n \) is an integer. Thus, we can rewrite \( a \) as \( 100a \) if we consider 100 times some integer to represent \( a \) directly. In this context, representing \( a \) as \( 100a \) explicitly states that \( a \) is being scaled by 100, keeping in mind that \( a \) itself originates from a quantity that was divisible by 100. This illustrates the idea that when \( a \) is divisible by 100, it fits into a pattern where it can be expressed as a multiple (specifically, a hundred times some integer) rather than fractions or other manipulation forms that do not highlight this divisibility directly. Therefore, stating \( a \) as \( 100a \) emphasizes its relationship with 100 as a factor in its representation.

When a number ( a ) is divisible by 100, it means that ( a ) can be expressed in a form that incorporates 100 as a factor.

To represent ( a ) in a way that clearly shows it is a multiple of 100, we can express it as ( 100 \times n ), where ( n ) is an integer. Thus, we can rewrite ( a ) as ( 100a ) if we consider 100 times some integer to represent ( a ) directly.

In this context, representing ( a ) as ( 100a ) explicitly states that ( a ) is being scaled by 100, keeping in mind that ( a ) itself originates from a quantity that was divisible by 100.

This illustrates the idea that when ( a ) is divisible by 100, it fits into a pattern where it can be expressed as a multiple (specifically, a hundred times some integer) rather than fractions or other manipulation forms that do not highlight this divisibility directly. Therefore, stating ( a ) as ( 100a ) emphasizes its relationship with 100 as a factor in its representation.