Problem Solving
Boyle’s Law
Using Scientific Notation
Teacher Guide
Use the processes for expressing numbers in scientific notation and for determining
significant digits to solve the problems below.
1. The number 4,002,000 has four significant digits. Express this number in scientific
notation.
[answer: 4.002 × 106]
2. Identify the number of significant digits in the number 0.00000053008. Express this
number in scientific notation.
[answer: 5.3008 × 10−7 has 5 significant digits.]
3. How would you express the number 668,999.82 in scientific notation? How many
significant digits are present in this number?
[answer: The number 6.6899982 × 105 has 8 significant digits.]
4. Express the number 0.0003000 in scientific notation and identify the number of significant
digits present.
[answer: The number 3.000 × 10−4 has 4 significant digits.]
5. Indicate the number of significant digits in the number 909,000.000. Express this number
in scientific notation.
[answer: The number 9.09000000 × 105 has 9 significant digits.]
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