Write 0.000000065 in scientific notation.(1 point)
Responses
6.5 × 108
6.5 times 10 superscript 8 baseline
6.5 × 10−8
6.5 times 10 superscript negative 8 baseline
6.5 × 10−7
6.5 times 10 superscript negative 7 baseline
6.5 × 107
6.5 times 10 superscript 7 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 × 108
6.71 times 10 superscript 8 baseline
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 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 × 10−5
1.314 times 10 superscript negative 5 baseline
1.314 × 104
1.314 times 10 superscript 4 baseline
1.314 × 105
1.314 times 10 superscript 5 baseline
1.314 × 10−4
To find the number of times an average person blinks in a year, we can calculate:
Number of blinks per hour = 15
Number of blinks per day = 15 × 24
Number of blinks per year = 15 × 24 × 365
Calculating this gives us approximately 131,400 blinks per year.
In scientific notation, this is written as 1.314 × 10^5.
What is the number 5.9×105 written in decimal notation?(1 point)
Responses
5,900,000
5,900,000
590,000
590,000
0.000059
0.000059
5.90000
The number 5.9 × 10^5 written in decimal notation is 590,000.
What is the number 7.3×10^−8 written in decimal notation?(1 point)
Responses
0.00000007.3
0.00000007.3
0.0000000073
0.0000000073
730,000,000
730,000,000
0.000000073
0.000000073
The number 7.3 × 10^-8 written in decimal notation is 0.000000073.
To write 0.000000065 in scientific notation, you need to convert the number to a decimal between 1 and 10, and then multiply it by a power of 10. Here's how you can do it:
1. Start with the given number: 0.000000065.
2. Move the decimal point to the right until you have a decimal between 1 and 10. In this case, you need to move the decimal point 7 places to the right. The number becomes 6.5.
3. Count the number of places you moved the decimal point to the right. Since you moved it 7 places to the right, the exponent of 10 will be -7.
4. Write the number in scientific notation using the format: a × 10^b, where a is the decimal between 1 and 10, and b is the number of places you moved the decimal point. The scientific notation for 0.000000065 is 6.5 × 10^-7.
So, the correct answer is: 6.5 × 10^-7.