Scientific notation

If the exponent on your power of 10 is positive, is your number larger or smaller than 10?

• Larger
• Smaller

7.82 x 10^-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

• Large
• Small
• Basic

Change from standard form to scientific notation: 12,000,000

• 12.0  x  10⁷
• 0.12  x  10⁷
• 1.2  x  10⁶
• 1.2  x  10⁷

Change from standard form to scientific notation:  450,000

• 4.5  x  10⁵
• 45  x  10⁵
• 4.5  x  10⁴
• 4.5  x  10⁶

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

Change from standard form to scientific notation: 0.004078

• 4.078  x  10^-3
• 4.078  x  10³
• 40.78  x  10^-4
• .4078  x  10^-2

125,678,000: Change to scientific notation

• 1.25678  x  10¹²
• .125678  x  10^-9
• 12.5678  x  10⁸
• 1.25678  x  10⁸

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

The factor multiplied by a power of 10 in scientific notation needs to be greater than or equal to one but less than ___________?

• 1
• 10
• 100
• 1,000