write 0.153 x 10^5 in science notation

5 answers

To express \( 0.153 \times 10^5 \) in proper scientific notation, you need to adjust the coefficient so that it falls within the range of 1 to 10.

Here’s how to do it:

  1. Adjust the coefficient: \( 0.153 \) can be rewritten as \( 1.53 \times 10^{-1} \).

  2. Multiply by \( 10^5 \): \[ 0.153 \times 10^5 = (1.53 \times 10^{-1}) \times 10^5 = 1.53 \times 10^{5 - 1} = 1.53 \times 10^4 \]

So, in scientific notation, \( 0.153 \times 10^5 \) is \( 1.53 \times 10^4 \).

write 0.153 x 10^-5 in science notation

To express \( 0.153 \times 10^{-5} \) in proper scientific notation, we need to adjust the coefficient to be between 1 and 10:

  1. Rewrite the coefficient: \( 0.153 \) can be expressed as \( 1.53 \times 10^{-1} \).

  2. Multiply by \( 10^{-5} \): \[ 0.153 \times 10^{-5} = (1.53 \times 10^{-1}) \times 10^{-5} = 1.53 \times 10^{-1 - 5} = 1.53 \times 10^{-6} \]

So, in scientific notation, \( 0.153 \times 10^{-5} \) is \( 1.53 \times 10^{-6} \).

1.53 x 10^4 in science notation

The expression \( 1.53 \times 10^4 \) is already in proper scientific notation. In scientific notation, the coefficient (1.53) must be between 1 and 10, and the exponent (4) indicates the power of 10 by which the coefficient is multiplied.

So, \( 1.53 \times 10^4 \) is presented correctly in scientific notation, representing the number \( 15300 \).

If you meant to manipulate or convert it further, please clarify your request!