Evaluate (3.10007*9.441*0.0301)÷2.31

Solution:

Step 1:

Convert the given expression into a fraction form: $\frac{3.10007 \times 9.441 \times 0.0301}{2.31}$

Step 2:

Begin by calculating the product in the numerator.

Step 2.1:

First, multiply $3.10007$ and $9.441$ together: $\frac{29.26776087 \times 0.0301}{2.31}$

Step 2.2:

Next, multiply the result, $29.26776087$, with $0.0301$: $\frac{0.8809596}{2.31}$

Step 3:

Finally, divide the numerator, $0.8809596$, by the denominator, $2.31$: $0.38136779$

Knowledge Notes:

1. Multiplication of Decimals: When multiplying decimal numbers, you multiply the numbers as if they were integers and then place the decimal point in the product so that the total number of decimal places equals the sum of the decimal places in the factors.

2. Division as a Fraction: Division can be represented as a fraction where the numerator is the dividend and the denominator is the divisor.

3. Order of Operations: When solving mathematical expressions, the order of operations must be followed. In this case, multiplication is performed before division.

4. Precision in Calculations: When performing calculations with decimals, it is important to maintain precision throughout the steps to ensure the final answer is accurate.

5. Division of Decimals: To divide a decimal by another decimal, you can convert the division into a fraction and then perform the division or convert the divisor into a whole number by multiplying both the divisor and dividend by the same power of 10 and then divide as usual.