Exponents and Logarithms Practice
Quantitative Skills · Advanced Tools
New numbers every set.
Choose one skill for 8 questions, or Mixed review for 12. Every set has new numbers.
No timer. Use scratch paper and a calculator with LOG and 10ˣ keys. The rules from the lesson are below.
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Reference
Exponent and log rules
- Multiplying powers of ten adds the exponents: 103 × 104 = 107
- Dividing subtracts them, top minus bottom: 102 ÷ 105 = 10−3
- A power of a power multiplies them: (103)2 = 106
- 100 = 1. A negative exponent means a number between 0 and 1, not a negative number.
- Scientific notation: multiply or divide the coefficients, add or subtract the exponents, then adjust so the coefficient is at least 1 and less than 10.
- log asks: 10 to what power? The log of a power of ten is its exponent, and numbers below 1 have negative logs: log(1000) = 3, log(0.001) = −3
- pH = −log[H+]
- Undo the log with 10ˣ (2nd, LOG): [H+] = 10−pH
- Significant figures in [H⁺] = decimal places in the pH.
Practice for the Exponents and Logarithms lesson in Quantitative Skills. Original ZornScience questions.
About this activity
Use the exponent rules, multiply and divide in scientific notation, find logs of powers of ten, and convert between pH and hydrogen ion concentration. Every set has new numbers, and each answer gets feedback right away.
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