To solve the multiplication problem [tex]\((-5.7) \times (-0.04)\)[/tex], follow these steps:
1. Understand the signs: Both numbers are negative. When you multiply two negative numbers, the result is positive.
2. Multiply the absolute values: Ignore the negative signs for a moment and multiply the absolute values of the two numbers:
[tex]\[
5.7 \times 0.04
\][/tex]
3. Perform the multiplication: Carry out the multiplication of 5.7 and 0.04. The multiplication is:
[tex]\[
5.7 \times 0.04 = 0.228
\][/tex]
4. Assign the correct sign: As mentioned earlier, the result of multiplying two negative numbers is positive. Therefore, the product is positive.
So, the result of [tex]\((-5.7) \times (-0.04)\)[/tex] is:
[tex]\(\boxed{0.228}\)[/tex]
