What is the correct way to express 0.000123 in scientific notation with significant figures?
Practice Questions
1 question
Q1
What is the correct way to express 0.000123 in scientific notation with significant figures?
1.23 x 10^-4
1.23 x 10^-3
1.2 x 10^-4
1.23 x 10^-5
In scientific notation, 0.000123 is expressed as 1.23 x 10^-4, maintaining 3 significant figures.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the correct way to express 0.000123 in scientific notation with significant figures?
Solution: In scientific notation, 0.000123 is expressed as 1.23 x 10^-4, maintaining 3 significant figures.
Steps: 5
Step 1: Identify the number you want to convert, which is 0.000123.
Step 2: Move the decimal point to the right until you have a number between 1 and 10. For 0.000123, move the decimal 4 places to the right to get 1.23.
Step 3: Count how many places you moved the decimal. In this case, you moved it 4 places.
Step 4: Since you moved the decimal to the right, you will use a negative exponent. So, write it as 1.23 x 10^-4.
Step 5: Check the significant figures. The number 0.000123 has 3 significant figures (1, 2, and 3).
