Given that $$ 2 imes 10^{8}=20 imes 10^{7} $$ Work out $$ \left(2 imes 10^{8} ight)+\left(4 imes 10^{7} ight) $$ Give your answer in standard form

Question

Given that $$ 2 	imes 10^{8}=20 	imes 10^{7} $$ Work out $$ \left(2 	imes 10^{8}ight)+\left(4 	imes 10^{7}ight) $$ Give your answer in standard form

UpStudy AI · Accepted Answer

To compute $$ \left(2 \times 10^{8}\right) + \left(4 \times 10^{7}\right) $$ and express the result in standard (scientific) form, follow these steps:

1. **Express Both Terms with the Same Exponent:**
   
   Notice that $$ 2 \times 10^{8} $$ can also be written as $$ 20 \times 10^{7} $$ because:
   $$
   2 \times 10^{8} = 20 \times 10^{7}
   $$
   
2. **Add the Terms:**
   
   Now, add the two terms:
   $$
   20 \times 10^{7} + 4 \times 10^{7} = 24 \times 10^{7}
   $$

3. **Convert to Standard Form:**
   
   Standard form (scientific notation) requires the coefficient to be between 1 and 10. So, convert $$ 24 \times 10^{7} $$ as follows:
   $$
   24 \times 10^{7} = 2.4 \times 10^{8}
   $$
   
   Here, you move the decimal one place to the left and increase the exponent by 1.

**Final Answer:**
$$
2.4 \times 10^{8}
$$
$$ 2.4 \times 10^{8} $$

Given that \( 2 \times 10^{8}=20 \times 10^{7} \) Work out \( \left(2 \times 10^{8}\right)+\left(4 \times 10^{7}\right) \) Give your answer in standard form

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