What is the correct way to express 0.000450 in scientific notation with significant figures?
Practice Questions
1 question
Q1
What is the correct way to express 0.000450 in scientific notation with significant figures?
4.5 x 10^-4
4.50 x 10^-4
0.45 x 10^-3
4.500 x 10^-4
In scientific notation, 0.000450 is expressed as 4.50 x 10^-4, maintaining three significant figures.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the correct way to express 0.000450 in scientific notation with significant figures?
Solution: In scientific notation, 0.000450 is expressed as 4.50 x 10^-4, maintaining three significant figures.
Steps: 5
Step 1: Identify the significant figures in the number 0.000450. The significant figures are 4, 5, and the trailing 0 after 5, which gives us a total of three significant figures.
Step 2: Move the decimal point in 0.000450 to the right until you have a number between 1 and 10. This gives us 4.50.
Step 3: Count how many places you moved the decimal point. In this case, we moved it 4 places to the right.
Step 4: Write the number in scientific notation. Since we moved the decimal to the right, we use a negative exponent. This gives us 4.50 x 10^-4.
Step 5: Ensure that the number of significant figures is maintained. We have 4.50, which has three significant figures.
