What is the number 5.1×10^7 written in decimal notation?(1 point)
The number 5.1×10^7 written in decimal notation is 51,000,000.
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 × 103
6.71 times 10 superscript 3 baseline
6.71 × 10−3
6.71 times 10 superscript negative 3 baseline
6.71 × 10−8
The speed of light, 671,000,000 miles per hour, can be written in scientific notation as 6.71 × 10^8.
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 × 10−4
1.314 times 10 superscript negative 4 baseline
1.314 × 105
1.314 times 10 superscript 5 baseline
1.314 × 104
To find the number of times an average person blinks in a year, we multiply the number of blinks per hour (15) by the number of hours in a day (24) and the number of days in a year (365).
15 blinks/hour * 24 hours/day * 365 days/year = 131,400 blinks/year
Therefore, the average person blinks 131,400 times in a year.
In scientific notation, this can be written as 1.314 × 10^5.
To write the number 5.1×10^7 in decimal notation, we need to move the decimal point to the right by 7 places since the exponent is positive.
Starting with 5.1, we move the decimal point to the right 7 places:
5.1 × 10^7 = 51,000,000
So, 5.1×10^7 written in decimal notation is 51,000,000.
To convert a number in scientific notation to decimal notation, you need to multiply the decimal part by the power of 10 indicated in the exponent.
In the given number, 5.1×10^7, the base number is 5.1. To convert it to decimal notation, multiply the base number by 10 to the power of 7.
10^7 means 10 raised to the power of 7, which is 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10,000,000.
Therefore, to convert 5.1×10^7 to decimal notation, you multiply 5.1 by 10,000,000:
5.1 × 10,000,000 = 51,000,000
Therefore, the number 5.1×10^7 in decimal notation is 51,000,000.