Question

Which of the following is the

correct way to express the
number below in standard form?
3.4 x 10^5
A. 0.000034
B. 0.00034
C. 3400000
D. 340000

Answer 1

D

Step-by-step explanation:

Answer 2

The correct expression of
`\(3.4 * 10^5\)` in standard form is 340,000, which is option D.

To express the number
`\(3.4 * 10^5\)` in standard form, follow these steps:

1. Understand the Notation: The notation
`\(a * 10^n\)` in scientific notation means that you move the decimal point in the number a to the right if n is positive (or to the left if n is negative) by n places.

2. Identify the Components: In
`\(3.4 * 10^5\),` a = 3.4 and n = 5. Since n is positive, you move the decimal point in 3.4 to the right by 5 places.

3. Moving the Decimal Point: Initially, 3.4 can be thought of as 3.4 followed by zeros: 3.40000. Now, move the decimal point 5 places to the right:

- After 1 place: 34.0000

- After 2 places: 340.000

- After 3 places: 3400.00

- After 4 places: 34000.0

- After 5 places: 340000.

4. Result: After moving the decimal point 5 places to the right, the number becomes 340000.