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Division is one of the four basic arithmetic operations we use in mathematics. It involves splitting a number into equal parts. In our exercise, we start by dividing 3 by 2. This can also be understood as finding how many times 2 fits into 3. By calculating 3 divided by 2, we get 1.5, which is another way of saying that 2 fits into 3 one time completely, and there's a leftover partial portion, represented as 0.5. Knowing how to divide numbers is crucial because it allows us to distribute values evenly.
This concept is not only used in manual calculations but also in everyday situations like dividing a pizza among friends!

Multiplication is another fundamental operation that helps us combine equal groups of things or scale numbers. In our given problem, after we find that 3 divided by 2 equals 1.5, we multiply this result by 4.
This step is about scaling up 1.5 by a factor of 4, where we repeatedly add 1.5 to itself four times. The answer to this multiplication is 6.

• Multiplication is often represented by the symbol '×'.
• It simplifies the process of counting large quantities and is essential for tasks involving money, distance, and more.

When it comes to fractions, understanding multiplication helps us in increasing numbers proportionately.

Arithmetic operations comprise the rudimentary tools of mathematics: addition, subtraction, multiplication, and division. These operations are governed by rules that dictate the order in which they should be performed, known as the order of operations. In this exercise, we use division and multiplication: - **Step-by-step approach:** We performed division first, followed by multiplication, and ended with another division.
Such order ensures accuracy in calculations. - **Importance of sequence:** By respecting the correct sequence, often remembered through PEMDAS/BODMAS (Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction), we avoid errors in the outcome.
In our problem, adhering to this sequence resulted in a final answer of 1.2. Arithmetic operations are the foundation of higher-level math and everyday problem-solving.