Question

A) write 3.25 x 10 to the power of 4 as an ordinary number.

b) write 6.04 x 10 to the power of -3 as an ordinary number.
c)write 2400000 in standard form.
d)write 0.00147 in standard form

Answer 1

To convert between scientific and standard notations, move the decimal point to the right for positive exponents and to the left for negative exponents. The number of places you move the decimal corresponds to the exponent value in the scientific notation.

Step-by-step explanation:

To answer the student's question, we need to convert numbers between scientific notation and standard notation.

1. To write 3.25 x 10 to the power of 4 as an ordinary number, we move the decimal point 4 places to the right, resulting in 32500.
2. To write 6.04 x 10 to the power of -3 as an ordinary number, we move the decimal point 3 places to the left, giving us 0.00604.
3. Writing 2400000 in standard form is 2.4 x 10 to the power of 6.
4. Finally, writing 0.00147 in standard form is 1.47 x 10 to the power of -3.

Here are some examples involving scientific notation:

• To express 6.022 x 10 to the power of 23 in standard notation, we move the decimal 23 places to the right, which is a large number with 23 zeroes following the 6022.
• 345.1 x 10 squared in proper scientific notation would be 3.451 x 10 to the power of 4.
• 0.000028 in scientific notation is 2.8 x 10 to the negative fifth power.