Place value practice

Scientific notation worksheets

Choose 20 conversion questions or an optional English 10-task understanding lesson with coefficient normalization, misconception checks and a separate reasoning key.

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Convert the first ten expressions to ordinary numbers and the next ten to scientific notation. Keep the coefficient at least 1 and less than 10.

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Teach the reason behind the exponent

Choose the optional English understanding lesson for ten tasks: convert in both directions, normalize coefficients, explain exponent zero, diagnose mistakes and check an independent measurement. Foundation and Extended change the decimal precision and power range. The separate key shows equivalent steps and magnitude checks.

Conversion practice keeps the existing twenty questions, exponent-sign choices, optional exponent zero and worksheet languages. Ready-made downloads remain the original practice sheets.

Learning objective

What this activity builds

Use powers of ten to represent large and small positive numbers without changing their value.

Worked example

Write 0.000728 in scientific notation. Then convert 4.26 × 10⁵ to an ordinary number.

0.000728 = 7.28 × 10⁻⁴; 4.26 × 10⁵ = 426,000.

Moving the point four places to the right gives 7.28; the negative exponent compensates by dividing by 10,000. In the reverse direction, multiply 4.26 by 100,000, shifting its point five places to the right to obtain 426,000.

Teaching notes

Make the practice count

  • Choose Understanding lesson in the settings for 10 tasks: guided conversions, zero exponent, coefficient normalization, two error checks and an independent measurement task. Its separate key explains how each transformation preserves the value. Foundation uses one decimal digit and powers -4 to 4; Extended uses three decimal digits with internal zeros and powers -8 to 8. The lesson is English only and fixes exponent coverage; the practice exponent and language controls are disabled with an explanation.
  • This page practices conversion in both directions. For calculations, use Scientific Notation Operations to multiply, divide or raise scientific-notation numbers to powers; addition and subtraction are outside that activity’s scope.
  • The absolute exponent ranges from 1 to 9. Enable exponent zero to include numbers already between 1 and 10.
  • Mixed practice includes positive and negative exponents in both conversion directions. Enabling zero includes it in each half too.
  • A coefficient can have up to four fractional digits. Trailing zeros with no numerical effect are omitted; these are value-conversion exercises, not significant-figure tests.
  • Count place shifts before adding any zeros. A negative exponent means the ordinary number is less than one.
  • Exponents are raised above the baseline in both the preview and downloaded PDF. Long notes or translated instructions can add pages.

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Configured PDF · Scientific notation · US Letter

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Math SheetNameScore/ 20TeacherDateScientific notationConvert each number to the requested form. In scientific notation, use a coefficient from 1 up to, but not including, 10.1.Write in standard form.8.2388 × 1062.Write in standard form.5.914 × 1023.Write in standard form.2.2 × 1024.Write in standard form.5.5318 × 1065.Write in standard form.3.18 × 1096.Write in standard form.4.419 × 1037.Write in standard form.8.12 × 1028.Write in standard form.9.3293 × 1019.Write in standard form.3.414 × 10510.Write in standard form.6.8743 × 10411.Write in scientific notation.32,400,00012.Write in scientific notation.30813.Write in scientific notation.39014.Write in scientific notation.4,650,00015.Write in scientific notation.654.0116.Write in scientific notation.6,100,000,000math-sheet.comPage 1 of 2
Math SheetNameScore/ 20TeacherDateScientific notationConvert each number to the requested form. In scientific notation, use a coefficient from 1 up to, but not including, 10.17.Write in scientific notation.2,580,00018.Write in scientific notation.396.7519.Write in scientific notation.439,30020.Write in scientific notation.6,548,200math-sheet.comPage 2 of 2

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