CCSS 8.EE.4 Worksheets

CCSS 8.EE.4 (Common Core, 8th Grade): "Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. Understand the connections between proportional relationships, lines, and linear equations." The worksheets below practice this standard. Each one is a free printable PDF with an answer key, comes in multiple versions, and can also be assigned digitally - no login or account needed.

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Expressions & Equations Work with radicals and integer exponents. 4Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology. Understand the connections between proportional relationships, lines, and linear equations.

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Multiplying with Scientific Notation

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• Multiply two numbers written in scientific notation.
• Multiply the coefficients and combine the powers of 10 using exponent rules.
• Rewrite answers in proper scientific notation by shifting the decimal and adjusting the exponent.

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Converting Calculator Scientific Notation

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• Read calculator e-notation (like 3.2E5 or 3.2e-5) and say what it means.
• Convert numbers written in calculator scientific notation into standard form.
• Move the decimal the correct direction based on whether the exponent is positive or negative.
• Write the final answer as an ordinary decimal or whole number without exponents.

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Converting from Scientific Notation

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• Practice changing a number written in scientific notation into a regular decimal number.
• Use the exponent on 10 to decide how many places to move the decimal point.
• Write the final answer in standard form with the decimal in the correct place.

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Converting to Scientific Notation

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• Convert large or small numbers into scientific notation using a number between 1 and 10 times a power of 10.
• Move the decimal point the right number of places and write the matching exponent.
• Decide whether the exponent should be positive or negative based on whether the original number is greater than or less than 1.
• Rewrite scientific notation in a clean, normalized form with the coefficient in the correct range.