Solve 1.7[1-7.8*10^-4(60-25)]

$$1.7 [ 1 - 7.8 \times 10 ^ { - 4 } ( 60 - 25 ) ]$$

Evaluate

$$1.65359$$

Solution Steps

Calculate 10 to the power of -4 and get \frac{1}{10000}.

$$1.7\left(1-7.8\times \frac{1}{10000}\left(60-25\right)\right)$$

Multiply 7.8 and \frac{1}{10000} to get \frac{39}{50000}.

$$1.7\left(1-\frac{39}{50000}\left(60-25\right)\right)$$

Subtract 25 from 60 to get 35.

$$1.7\left(1-\frac{39}{50000}\times 35\right)$$

Multiply \frac{39}{50000} and 35 to get \frac{273}{10000}.

$$1.7\left(1-\frac{273}{10000}\right)$$

Subtract \frac{273}{10000} from 1 to get \frac{9727}{10000}.

$$1.7\times \frac{9727}{10000}$$

Multiply 1.7 and \frac{9727}{10000} to get \frac{165359}{100000}.

$$\frac{165359}{100000}$$

Factor

$$\frac{17 \cdot 71 \cdot 137}{2 ^ {5} \cdot 5 ^ {5}} = 1\frac{65359}{100000} = 1.65359$$