Answer:
52,000 = 5.2 × 10⁴
Explanation:
Standard Index form, also known as "scientific notation", is a way of expressing numbers as a product of a decimal number between 1 and 10, multiplied by a power of 10.
It is written in the form a × 10ⁿ, where 1 ≤ a < 10 and n is any positive or negative whole number.
To convert a number into standard index form, move the decimal point to the left or right until there is one non-zero digit to the left of the decimal point.
The number of times you have moved the decimal point is the power of 10 (the value of n).
- If the decimal point has moved to the left, n is positive.
- If the decimal point has moved to the right, n is negative.
Therefore, to convert 52,000 to scientific notation, move the decimal point 4 places to the left so that a = 5.2.
As the decimal point has been moved 4 places the left, n = 4.
Therefore, 52,000 = 5.2 × 10⁴.