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Division is one of the four fundamental arithmetic operations, alongside addition, subtraction, and multiplication. It involves breaking a number into equal parts. In the exercise, division is the first step to simplify the expression. Here, we divide 6.9 by 2.3. - **Understanding Division**: Think of division like sharing. When you divide 6.9 by 2.3, you're finding out how many times 2.3 fits into 6.9. - **Performing the Division**: Since both numbers are decimals, you can simplify the division by treating them like whole numbers first. Move the decimal point one place right for both, turning 6.9 into 69 and 2.3 into 23, and then proceed with dividing 69 by 23. When you do this division, you end up with a result of 3. This indicates that 2.3 fits into 6.9 exactly three times, which is the quotient of the division.

Subtraction is the process of finding the difference between two numbers. It's like finding out how much remains when something is taken away. In our problem, subtraction comes after division.- **Subtracting Decimals**: Make sure the decimal points line up. This helps in accurately subtracting the numbers. For the exercise, you take the result of the division, which is 3, and subtract it from 3.22.- **Performing the Subtraction**: Align the numbers vertically and make sure the decimal places match. So, you perform the calculation like so: \( 3.22 - 3.00 \), which equals 0.22. This process is straightforward, but aligning decimal points is key for accuracy. The answer here, 0.22, represents what remains after taking away the 3 from 3.22.

Decimal numbers are a way to represent fractions using place value. They are positioned with a decimal point to show parts of a whole. - **Understanding Decimals**: For example, in the number 3.22, the 3 is the whole number part, and .22 represents 22 parts of the whole number 100 (since it's two decimal places). - **Importance in Calculations**: When performing operations such as division and subtraction with decimals, ensure accuracy by aligning numbers and considering the decimal places. Each place after the decimal indicates tenths, hundredths, etc. In this exercise, both numbers involved in division, 6.9 and 2.3, as well as the results, are decimals. Manipulating them requires keeping track of their decimal positions to preserve the precision of your calculations. Using decimals allows for more accurate representations of quantities where exact fractions are necessary.