Questions: What is the correct scientific notation for 200,000 ? 2 × 10^9 2 × 10^8 2 × 10^4 2 × 10^5

What is the correct scientific notation for 200,000 ? 2 × 10^9 2 × 10^8 2 × 10^4 2 × 10^5
Transcript text: What is the correct scientific notation for 200,000 ? $2 \times 10^{9}$ $2 \times 10^{8}$ $2 \times 10^{4}$ $2 \times 10^{5}$
failed

Solution

failed
failed

Solution Steps

Step 1: Understand the number

The number given is 200,000. This is a whole number that needs to be expressed in scientific notation.

Step 2: Identify the coefficient

In scientific notation, the number is written as \( a \times 10^{n} \), where \( 1 \leq a < 10 \). For 200,000, the coefficient \( a \) is 2 because 2 is the first non-zero digit.

Step 3: Determine the exponent

Count how many places the decimal point needs to move from its original position to after the first digit. In 200,000, the decimal point is at the end of the number (200,000.), and it moves 5 places to the left to become 2.00000. Therefore, the exponent \( n \) is 5.

Step 4: Write in scientific notation

Combine the coefficient and the exponent to express the number in scientific notation: \( 2 \times 10^{5} \).

Final Answer

\(\boxed{2 \times 10^{5}}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
For each of the following scenarios, begin by assuming that all demand factors are set to their original values and Lakes is charging 350 per room per night. If average household income increases by 50 %, from 40,000 to 60,000 per year, the quantity of rooms demanded at the Lakes rises from 100 rooms per night to 150 rooms per night. Therefore, the income elasticity of demand is positive , meaning that hotel rooms at the Lakes are - If the price of a room at the Mountaineer were to decrease by 10 %, from 250 to 225, while all other demand factors remain at their initial values, the quantity of rooms demanded at the Lakes rises from 150 rooms per night to 100 rooms per night. Because the cross-price elasticity of demand is positive , hotel rooms at the Lakes and hotel rooms at the Mountaineer are -
failedAnswered
Find an approximate irrational solution to (3^x=5).
failedAnswered
You may as well get lost, so take a map.
failedAnswered
What is (are) the value(s) of x at the focus (foci) of the shape defined by the equation ((x+2)^2)/9 - ((y-1)^2)/16 = 1 ? (Separate multiple values of x with a comma.)
failedAnswered
The mass of a cube of metal is 63.53 grams. The cube of metal is placed into 64.7 mL of water. Determine the new volume of water if the density of the metal is 9.15 g / cm^3. Record your answer to three decimal places. Do not put units in your answer!