Scientific Notation Basics

Given the number 0.00000457. What is the value of the exponent when this number is written in scientific notation?

Mathematical Equivalence

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TEKS 8.2C

What are the values of the exponents of the following numbers when they are converted to Scientific Notation?

• 3

• 0.0172

• -4

• 0.00523

• 4

• 7,140

• -3

• 0.000714

• -2

• 52, 300

Write 0.216 in scientific notation.

• 216 x 10³

• 216 x 10^-3

• 2.16 x 10¹

• 2.16 x 10^-1

Fix this number so it is in correct scientific notation

0.97 x 10¹²

• 0.97 x 10¹¹

• 9.7 x 10¹¹

• 9.7 x 10¹³

• 9.7 x 10¹²

Change from standard form to scientific notation:  0.000398

• 39.8  x  10^-5

• 3.98  x  10^-5

• 3.98  x  10^-4

• 39.8  x  10^-6

Try to change the number back to standard form:  6.79  x  10⁴

• 679,000

• 6,790

• 67,900

• 6,790,000

Try to change the number back to standard form: 3.97  x  10^-2

• 0.000397

• 0.0397

• 0.0000397

• 0.397

Write 3.5 x 10⁶  in standard notation.

• 0.0000035

• 35,000,000

• 3,500,000

• 0.00000035

Write 4 x 10^-3   in standard notation.

• 0.0004

• 0.004

• 4,000

• 4.000

Write 2.07 x 10⁵     in standard notation.

• 20,700,000

• 0.00000207

• 0.0000207

• 207,000