What is the correct way to express 0.0001234 in scientific notation with significant figures?
Practice Questions
1 question
Q1
What is the correct way to express 0.0001234 in scientific notation with significant figures?
1.234 x 10^-4
1.23 x 10^-4
1.2340 x 10^-4
1.2 x 10^-4
In scientific notation, all non-zero digits are significant. Therefore, 0.0001234 can be expressed as 1.234 x 10^-4, maintaining all significant figures.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the correct way to express 0.0001234 in scientific notation with significant figures?
Solution: In scientific notation, all non-zero digits are significant. Therefore, 0.0001234 can be expressed as 1.234 x 10^-4, maintaining all significant figures.
Steps: 5
Step 1: Identify the number you want to convert, which is 0.0001234.
Step 2: Move the decimal point to the right until you have a number between 1 and 10. For 0.0001234, move the decimal 4 places to the right to get 1.234.
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. Write it as 1.234 x 10^-4.
Step 5: Check the significant figures. All non-zero digits (1, 2, 3, 4) are significant, so you keep them all.
