Create a visual representation of a student's desk in a physics class, trying to solve scientific notation problems. The desk is cluttered with stationery like pens, erasers, a calculator, a coffee mug and a notebook with unrecognizable scribbles meant to represent the scientific notation problems. Also, there is a hint of a physics book lying open, although the text in the book is blurry, making sure it doesn't detract from the main elements of the scene. The mood is reflective of studious focus and a bit of anxiety.

just wanted to check my answers for a quick check since im not really confident in scientific notations...

1)
The area of Greenland is 840,000 square miles. What is this number in scientific notation?

A) 840x10^5
B) 84x10^-5
C) 8.4x10^5 ***
D)8.4x10^-5

2)
What answer represents 0.00000916 in scientific notation?

A) 916x10^-8
B) 9.16x10^-6 ***
C) 916x10^8
D) 9.16x10^6

3)
What is 5.75x10^9 in standard form?

A) 5,750,000,000 ****
B) 575,000,000,000
C) 0.00000000575
D)0.575000000000

4)
What is 6.8x1-^-4 in standard form

A) 68,000
B) 680,000
C)0.000068
D) 0.00068 ***

5)
In a recent year the world reproduction of wheat was about 5.2x10^8 metric tons. What is this number in scientific notation?

A) 0.000000052
B)0.0000000052
C)520,000,000 ***
D)5,200,000,000

1. C

2. B
3. A
4. D
5.C

Agree on first 4, but in 5, the value is already in scientific notation, but the standard form is correct.

raya is right

To check your answers for scientific notation, let's break down each question and explain how to convert the given numbers to scientific notation and vice versa.

1) The area of Greenland is 840,000 square miles. What is this number in scientific notation?
To convert this number to scientific notation, we want to express it as a decimal number between 1 and 10 multiplied by a power of 10. In this case, we move the decimal point to the left until we have a number between 1 and 10.
Our answer is C) 8.4x10^5. We moved the decimal point two places to the left, so we multiply it by 10^2.

2) What answer represents 0.00000916 in scientific notation?
To convert this number to scientific notation, we move the decimal point to the right until we have a number between 1 and 10.
Our answer is B) 9.16x10^-6. We moved the decimal point 6 places to the right, so we divide it by 10^6.

3) What is 5.75x10^9 in standard form?
To convert this number from scientific notation to standard form, we multiply the decimal part by the power of 10.
Our answer is A) 5,750,000,000. We multiply the decimal part by 10^9.

4) What is 6.8x10^-4 in standard form?
To convert this number from scientific notation to standard form, we divide the decimal part by the power of 10.
Our answer is D) 0.00068. We divide the decimal part by 10^-4.

5) In a recent year, the world reproduction of wheat was about 5.2x10^8 metric tons. What is this number in scientific notation?
This question already represents the number in scientific notation, so the answer is C) 520,000,000, which is the number in standard form.

Remember, when converting a number to scientific notation, we move the decimal point to the right to increase the power of 10, and we move it to the left to decrease the power of 10.