To find the value of [tex]\( 246.75 \times 345.69 \)[/tex], follow these steps:
1. Understand the problem:
- You need to multiply two decimal numbers: [tex]\( 246.75 \)[/tex] and [tex]\( 345.69 \)[/tex].
2. Setting up the multiplication:
- Arrange the numbers assuming no decimal places to simplify multiplication:
[tex]\[
24675 \times 34569
\][/tex]
3. Perform the multiplication:
- We will not show the many individual steps of multiplication, but understand that it involves multiplying each digit of the first number by each digit of the second number and then summing all the appropriate values according to their place values.
4. Dealing with the decimal places:
- Count the total number of decimal places in the two numbers:
- [tex]\( 246.75 \)[/tex] has 2 decimal places.
- [tex]\( 345.69 \)[/tex] has 2 decimal places.
- In total, there are [tex]\( 2 + 2 = 4 \)[/tex] decimal places.
5. Placing the decimal point:
- After performing the multiplication with whole numbers, you place the decimal point in the product such that there are four digits after the decimal point.
6. Final calculation:
- The product of [tex]\( 246.75 \times 345.69 \)[/tex] is [tex]\( 85299.0075 \)[/tex].
Therefore, the result of [tex]\( 246.75 \times 345.69 \)[/tex] is:
[tex]\[ 85299.0075 \][/tex]
