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Question

Simplify: $$((4 \times 10^{-2}) -(2.5 \times 10^{-3}))(10^4)$$


Solution

$$Now\quad \left( \left( 4\times { 10 }^{ -2 } \right) -\left( 2.5\times { 10 }^{ -3 } \right)  \right) \left( { 10 }^{ 4 } \right) $$
$$\rightarrow \quad \quad \left( 4\times { 10 }^{ -2 } \right) \left( { 10 }^{ 4 } \right) -\left( 2.5\times { 10 }^{ -3 } \right) \left( { 10 }^{ 4 } \right) $$
$$\rightarrow \quad \quad 4\times { 10 }^{ -2+4 }\quad -\quad 2.5\times { 10 }^{ -3+4 }$$
$$\rightarrow \quad \quad 4\times { 10 }^{ 2 }\quad -\quad 2.5\times { 10 }^{ 1 }$$
$$\rightarrow \quad \quad 400-25$$
$$\rightarrow \quad \quad 375$$

Mathematics

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