Answer :
The answer is 2 x 10^4 or 2 to the power of 4 (4th power) where;
2 x 10 x 10 x 10 x 10
2 x 10 =20
20 x 10= 200
200 x 10 = 2000
2000 x 10 = 20 000
Expressing a number to a single digit integer times a power of 10 is also writing a number in scientific form,where the number is multiplied by 10 to nth "power". Scientific notation is also called standard index form whereby, too large or too big numbers.
In writing the scientific notation of a number it follows this form: m x 10^n ( m is multiplied to 10 to the power of n) where, m, the coefficient, is the real number and n is the exponent integer.
2 x 10 x 10 x 10 x 10
2 x 10 =20
20 x 10= 200
200 x 10 = 2000
2000 x 10 = 20 000
Expressing a number to a single digit integer times a power of 10 is also writing a number in scientific form,where the number is multiplied by 10 to nth "power". Scientific notation is also called standard index form whereby, too large or too big numbers.
In writing the scientific notation of a number it follows this form: m x 10^n ( m is multiplied to 10 to the power of n) where, m, the coefficient, is the real number and n is the exponent integer.
Final answer:
The number 20,000 can be expressed in scientific notation as 2 × 10⁴. This is done by moving the decimal point in 20,000 four places to the left to get a digit factor of 2 and an exponential factor of 10 to the fourth power.
Explanation:
To express the number 20,000 as a single digit integer times a power of 10, you need to rewrite it in scientific notation. This involves moving the decimal point in the number until there's only one non-zero digit to the left of the decimal point. For the number 20,000, the decimal point is understood to be at the end of the number, i.e. 20,000. We move the decimal point four places to the left to get 2 and then count how many places we moved the decimal point to determine the exponent. Moving it four places gives us an exponent of 4. Therefore, 20,000 expressed in scientific notation is 2 × 10⁴.
