Question

8.92 x 10^6 in scientific notation

Answer 1

Answer:

8.92 * 10^10

Step-by-step explanation:

1. Convert to decimal notation

$8.92*10^6$

The exponent is 6, making it 10 to the power of 6. As the exponent is positive, the solution is a number greater than the origin or base number. To find our answer, we move the decimal to the right 6 time(s):

8.92 -> $8920000$

2. Final result

$8920000$

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10.  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

8.92 * 10^10

----------------------------------------------

Why learn this

Scientific notation, or standard form, makes things easier when working with very small or very big numbers, both of which come up frequently in the fields of science and engineering. It is used in science, for example, to convey the mass of the heavenly bodies: Jupiter’s mass is $1.898*10^{27}$kg, which is easier to comprehend than writing the number 1,898 followed by 24 zeroes. Scientific notation also makes solving problems that use such high or low numbers more straightforward.

---------------------------------------------

Terms and topics

• Scientific Notation

Scientific notation is also referred to as scientific form or standard index form, or in the UK, standard form.