# How do you write 25.2 times 10 ^-3 in scientific notation?

Nov 26, 2017

$2.52 \setminus \times {10}^{- 2}$

#### Explanation:

In order for it to be in scientific notation, the first term, $a$, must satisfy the following:

$1 \le a < 10$

$25.2 \times {10}^{-} 3$

Here, $a$ is $25.2$. To make it less than $10$, just move the decimal point to the left one place, which is the same as dividing by $10$.

Since $a$ is getting smaller, the other term, ${10}^{- 3}$, has to get bigger by one factor of 10.

So ${10}^{- 3}$ becomes ${10}^{- 2}$.

Therefore, the answer can be written as:

$2.52 \setminus \times {10}^{- 2}$

Nov 26, 2017

$= 0.0252$

#### Explanation:

$25.2 \cdot {10}^{-} 3$

When we have the negative exponent it means that the "point" will be on your left. That means the zeros will be on your left as well. But if the exponent is positive the zeros will be on your right.

So the answer for this is $= 0.0252$

(I am not good with explanation so I hope this helps)