0.05*0.0125 = ?

Solution:

Method 1 — use scientific notation:

• Write each number in scientific notation: 0.05 = 5 × 10^-2 and 0.0125 = 1.25 × 10^-2.

• Multiply the coefficients: 5 × 1.25 = 6.25.

• Add the exponents: 10^-2 × 10^-2 = 10^(-2 + -2) = 10^-4.

• So the product is 6.25 × 10^-4, which equals 0.000625.

Method 2 — count decimal places (alternative check):

• 0.05 has 2 decimal places and 0.0125 has 4 decimal places, so the product will have 2 + 4 = 6 decimal places.

• Multiply 5 × 125 = 625, then place the decimal so there are 6 digits after the decimal point: 0.000625.

Final answer: 6.25 × 10^-4 = 0.000625