Write 0.000000065 in scientific notation.(1 point) Responses 6.5 × 10−7 6.5 times 10 superscript negative 7 baseline 6.5 × 10−8 6.5 times 10 superscript negative 8 baseline 6.5 × 108 6.5 times 10 superscript 8 baseline 6.5 × 107

9 answers

The number 0.000000065 in scientific notation is written as \( 6.5 \times 10^{-8} \).

So the correct response is: 6.5 × 10−8 (or 6.5 times 10 superscript negative 8 baseline).

The speed of light is about 671,000,000 miles per hour. How will you write this number in scientific notation?(1 point) Responses 6.71 × 10−3 6.71 times 10 superscript negative 3 baseline 6.71 × 103 6.71 times 10 superscript 3 baseline 6.71 × 10−8 6.71 times 10 superscript negative 8 baseline 6.71 × 108

To express 671,000,000 in scientific notation, we can write it as \( 6.71 \times 10^8 \).

So the correct response is: 6.71 × 10^8 (or 6.71 times 10 superscript 8 baseline).

Suppose an average person blinks 15 times per hour. How many times does an average person blink in a year? Write the answer in scientific notation (Hint: 1 year = 365 days, 1 day = 24 hours).(1 point) Responses 1.314 × 10−4 1.314 times 10 superscript negative 4 baseline 1.314 × 105 1.314 times 10 superscript 5 baseline 1.314 × 104 1.314 times 10 superscript 4 baseline 1.314 × 10−5

To find the total number of times an average person blinks in a year, we start with the following steps:

  1. Calculate the total number of hours in a year: \[ 1 \text{ year} = 365 \text{ days} \times 24 \text{ hours/day} = 8,760 \text{ hours/year} \]

  2. Calculate the total number of blinks in a year: \[ \text{Total blinks} = 15 \text{ blinks/hour} \times 8,760 \text{ hours/year} \] \[ \text{Total blinks} = 131,400 \text{ blinks/year} \]

  3. Convert 131,400 to scientific notation: \[ 131,400 = 1.314 \times 10^5 \]

Thus, the total number of times an average person blinks in a year, written in scientific notation, is: 1.314 × 10^5 (or 1.314 times 10 superscript 5 baseline).

What is the number 5.9×105 written in decimal notation?(1 point) Responses 5,900,000 5,900,000 0.000059 0.000059 590,000 590,000 5.90000

To convert \( 5.9 \times 10^5 \) into decimal notation, you move the decimal point 5 places to the right.

Starting with 5.9:

  • Moving the decimal 5 places to the right gives us: \[ 5.9 \rightarrow 590,000 \]

Thus, \( 5.9 \times 10^5 \) in decimal notation is 590,000.

So the correct response is: 590,000.

What is the number 7.3×10−8 written in decimal notation?(1 point) Responses 0.000000073 0.000000073 0.0000000073 0.0000000073 0.00000007.3 0.00000007.3 730,000,000

To convert \( 7.3 \times 10^{-8} \) into decimal notation, you move the decimal point 8 places to the left.

Starting with 7.3:

  • Moving the decimal 8 places to the left gives us: \[ 0.000000073 \]

Thus, \( 7.3 \times 10^{-8} \) in decimal notation is 0.000000073.

So the correct response is: 0.000000073.

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