To solve the multiplication problem [tex]\(0.45 \times 0.05\)[/tex], follow these steps:
1. Multiply the Numbers as Integers:
First, ignore the decimal points and multiply 45 by 5.
[tex]\[
45 \times 5 = 225
\][/tex]
2. Count the Decimal Places:
Count the total number of decimal places in the original numbers.
- [tex]\(0.45\)[/tex] has 2 decimal places.
- [tex]\(0.05\)[/tex] has 2 decimal places.
In total, there are [tex]\(2 + 2 = 4\)[/tex] decimal places.
3. Place the Decimal Point:
Since there are 4 decimal places total, place the decimal point in the product (225) to have four digits after the decimal point. This makes the product:
[tex]\[
0.0225
\][/tex]
Thus, the product of [tex]\(0.45\)[/tex] and [tex]\(0.05\)[/tex] is:
[tex]\[
0.022500000000000003
\][/tex]
