What is the correct way to express 0.000345 in scientific notation with significant figures?
Practice Questions
1 question
Q1
What is the correct way to express 0.000345 in scientific notation with significant figures?
3.45 x 10^-4
3.450 x 10^-4
3.4500 x 10^-4
3.4 x 10^-4
In scientific notation, all digits in the coefficient are significant. Therefore, 0.000345 is expressed as 3.45 x 10^-4, which has 3 significant figures.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the correct way to express 0.000345 in scientific notation with significant figures?
Solution: In scientific notation, all digits in the coefficient are significant. Therefore, 0.000345 is expressed as 3.45 x 10^-4, which has 3 significant figures.
Steps: 6
Step 1: Identify the number you want to convert, which is 0.000345.
Step 2: Move the decimal point to the right until you have a number between 1 and 10. For 0.000345, move the decimal 4 places to the right to get 3.45.
Step 3: Count how many places you moved the decimal. In this case, you moved it 4 places.
Step 4: Write the number in the form of 'a x 10^b', where 'a' is the number you found (3.45) and 'b' is the negative of how many places you moved the decimal (which is -4).
Step 5: Combine these to write the scientific notation: 3.45 x 10^-4.
Step 6: Count the significant figures in the original number (0.000345). The digits 3, 4, and 5 are significant, giving us 3 significant figures.
