Question

0.000000325 in standard form

Answer 1

Answer:

3.25 × 10^(-7)

0.000000325 is the correct answer

Step-by-step explanation:

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Answer 2

☯GIVEN :

• 0.000000325.

☯TO FIND :

• The standard form of 0.000000325.

➲SOLUTION :

• Converting into a fractional form :

$\longrightarrow \sf\dfrac{325}{1000000000}$

• Writing 325 as 3.25 × 100 and 1000000000 in exponential form as $\bf{10^9}$:

$\longrightarrow \sf\dfrac{3.25 \times 100}{10^9}$

• Now, writing 100 in exponential form as $\bf{10^2}$ :

$\longrightarrow \sf\dfrac{3.25 \times 10^2}{10^9}$

• Using rule : $\red{\bf{a^m \div a^n = {a} ^{m -n}}}$ :

$\longrightarrow \sf3.25 \times {10}^{(2 - 9)}$

• Obtained standard form :

$\longrightarrow \underline{\boxed { \red{\bf{3.25 \times {10}^{ - 7}}}}}$