Solve 1/2*0.1*0.01*16^2

$$\frac{ 1 }{ 2 } \times 0.1 \times 0.01 \times { 16 }^{ 2 }$$

Evaluate

$$0.128$$

Solution Steps

Convert decimal number 0.1 to fraction \frac{1}{10}.

$$\frac{1}{2}\times \frac{1}{10}\times 0.01\times 16^{2}$$

Multiply \frac{1}{2} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{2\times 10}\times 0.01\times 16^{2}$$

Do the multiplications in the fraction \frac{1\times 1}{2\times 10}.

$$\frac{1}{20}\times 0.01\times 16^{2}$$

Convert decimal number 0.01 to fraction \frac{1}{100}.

$$\frac{1}{20}\times \frac{1}{100}\times 16^{2}$$

Multiply \frac{1}{20} times \frac{1}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 1}{20\times 100}\times 16^{2}$$

Do the multiplications in the fraction \frac{1\times 1}{20\times 100}.

$$\frac{1}{2000}\times 16^{2}$$

Calculate 16 to the power of 2 and get 256.

$$\frac{1}{2000}\times 256$$

Multiply \frac{1}{2000} and 256 to get \frac{256}{2000}.

$$\frac{256}{2000}$$

Reduce the fraction \frac{256}{2000} to lowest terms by extracting and canceling out 16.

$$\frac{16}{125}$$

Factor

$$\frac{2 ^ {4}}{5 ^ {3}} = 0.128$$