Kendra finds the dimensions of a sticky note. She uses a meter stick to determine that the dimensions are 1.25×10−8 meters wide by 2.5×10−6 meters long. Use scientific notation to write the dimensions in millimeters.
Note: 1 meter is equal to 1,000 millimeters.
(1 point)
Responses
1.25×10−6 by 2.5×10−4 millimeters
1.25 times 10 superscript negative 6 baseline by 2.5 times 10 superscript negative 4 baseline millimeters
1.25×10−11 by 2.5×10−9 millimeters
1.25 times 10 superscript negative 11 baseline by 2.5 times 10 superscript negative 9 baseline millimeters
1.25×10−10 by 2.5×10−8 millimeters
1.25 times 10 superscript negative 10 baseline by 2.5 times 10 superscript negative 8 baseline millimeters
1.25×10−5 by 2.5×10−3 millimeters
1.25 times 10 superscript negative 5 baseline by 2.5 times 10 negative cubed millimeters
The number 3.28E12 represents 3.28 multiplied by 10^12 in scientific notation.
So, the correct answer is:
3.28×10^12
(3.28 times 10 superscript 12 baseline)
The number 2.81E4 represents 2.81 multiplied by 10^4 in scientific notation.
So, the correct answer is:
2.81×10^4
(2.81 times 10 superscript 4 baseline)
The correct answer is:
1.25×10−5 by 2.5×10−3 millimeters
(1.25 times 10 superscript negative 5 baseline) by (2.5 times 10 superscript negative 3 baseline) millimeters
Jim’s music library on his phone holds 1,900 songs. The songs have an average time of 3.5 minutes. Use scientific notation to find the total number of seconds the playlist will play. Express the answer to the exact decimal place.(1 point)
Responses
3.99×104 seconds
3.99 times 10 superscript 4 baseline seconds
3.99×105 seconds
3.99 times 10 superscript 5 baseline seconds
3.99×103 seconds
3.99 times 10 cubed seconds
0.399×106 seconds
0.399 times 10 superscript 6 baseline seconds
To find the total number of seconds, we multiply the number of songs by the average time of each song.
1900 songs * 3.5 minutes = 6650 minutes
To convert minutes to seconds, we multiply by 60:
6650 minutes * 60 seconds = 399000 seconds
Therefore, the total number of seconds the playlist will play is 3.99×10^5 seconds.
The correct answer is:
3.99×10^5 seconds
(3.99 times 10 superscript 5 baseline) seconds
The number of molecules in 100 moles is given as 6.02E25. In scientific notation, this is written as:
6.02×10^25
The correct answer is:
6.02×10^25
(6.02 times 10 superscript 25 baseline)
In government class, Nadia computed the amount of debt of the federal government after a third of it was paid in 1995. The calculator displayed the number 3.28E12. What is this number in scientific notation?(1 point)
Responses
3.28×10−12
3.28 times 10 superscript negative 12 baseline
3.28×1012
3.28 times 10 superscript 12 baseline
3.28+1012
3.28 plus 10 superscript 12 baseline
12×103.28
12 times 10 superscript 3.28 baseline
Sam is comparing the half-life of two isotopes of uranium. The half-life of Uranium-238 is 4.5×109 years. The half-life of Uranium-233 is 1.6×105 years. He computed how much greater the half-life of Uranium-238 is than that of Uranium-233, and his calculator displayed the number 2.81E4. What is this number in scientific notation?(1 point)
Responses
2.81+104
2.81 plus 10 superscript 4 baseline
4×102.81
4 times 10 superscript 2.81 baseline
2.81×10−4
2.81 times 10 superscript negative 4 baseline
2.81×104
2.81 times 10 superscript 4 baseline
In chemistry class, Carlos calculated the number of molecules in 100 moles. The calculator displayed the number 6.02E25. What is the number of molecules in 100 moles in scientific notation?(1 point)
Responses
6.02×25
6.02 times 25
25×106.02
25 times 10 superscript 6.02 baseline
6.02+1025
6.02 plus 10 superscript 25 baseline
6.02×1025
6.02 times 10 superscript 25 baseline
A skyscraper has a mass of 2.2×10^5 tons. Another skyscraper in the same town has a mass of 3.7×10^5 tons. What is the combined mass, in tons, of the two skyscrapers? Use scientific notation to express your answer to 1 decimal place. (1 point)
To find the combined mass of the two skyscrapers, we need to add their masses.
2.2×10^5 tons + 3.7×10^5 tons = 5.9×10^5 tons
Therefore, the combined mass of the two skyscrapers is 5.9×10^5 tons.
The correct answer is:
5.9×10^5 tons
(5.9 times 10^5 baseline) tons
A certain insect is approximately 4×10^−2 inches long. A second insect is about 1.3×10^−1 inches long. What is the total length of the two insects in inches? Use scientific notation to express your answer to 1 decimal place. (1 point)
To find the total length of the two insects, we simply add their lengths.
4×10^-2 inches + 1.3×10^-1 inches = 4.4×10^-2 inches
Therefore, the total length of the two insects is 4.4×10^-2 inches.
The correct answer is:
4.4×10^-2 inches
(4.4 times 10^-2 baseline) inches
wrong
Apologies for the mistake. Let's calculate again.
The total length of the two insects is found by adding their lengths.
4×10^-2 inches + 1.3×10^-1 inches = 0.04 inches + 0.13 inches = 0.17 inches
Therefore, the total length of the two insects is 0.17 inches.
The correct answer is:
0.17 inches
wrong
I apologize for the incorrect response again. Let's calculate it correctly this time.
The correct method for adding numbers in scientific notation is to first ensure that the exponents are the same. Here's the correct calculation:
4×10^-2 inches + 1.3×10^-1 inches = (4×10^-2) + (13×10^-2) = 17×10^-2
Now, we can express the answer in scientific notation by moving the decimal point one place to the left:
17×10^-2 = 1.7×10^-1
Therefore, the total length of the two insects is 1.7×10^-1 inches.
The correct answer is:
1.7×10^-1 inches
(1.7 times 10^-1 baseline) inches
What is the sum of 6.3×10^3 and 2.41×10^4? Use scientific notation to express your answer.
To find the sum of 6.3×10^3 and 2.41×10^4, we add the numbers while keeping the bases (10) and adding the exponents:
6.3×10^3 + 2.41×10^4 = 6.3×10^3 + 24.1×10^3
Now, we can combine the terms with the same base (10) and add the coefficients:
6.3×10^3 + 24.1×10^3 = (6.3 + 24.1) × 10^3 = 30.4×10^3
Finally, we can express the answer in scientific notation by moving the decimal point one place to the left:
30.4×10^3 = 3.04×10^4
Therefore, the sum of 6.3×10^3 and 2.41×10^4 is 3.04×10^4.
The correct answer is:
3.04×10^4
(3.04 times 10^4 baseline)
An American football field has an area of 6.4×10^3 square yards. A Canadian football field is 3,350 square yards larger. What is the area of a Canadian football field? Write your answer in scientific notation to 2 decimal places.
__×10^3
To find the area of the Canadian football field, we add the additional 3,350 square yards to the area of the American football field:
6.4×10^3 square yards + 3,350 square yards = 9,750 square yards
Now, we can express this area in scientific notation to 2 decimal places:
9,750 = 9.75 × 10^3
Therefore, the area of the Canadian football field is 9.75×10^3 square yards.
The correct answer is:
9.75×10^3
(9.75 times 10^3 baseline)
A human hair has a diameter of about 4×10^−3 inches. A fingernail is about 0.011 inches thicker. How thick is a fingernail? Write your answer as a decimal to 3 places.
To find the thickness of a fingernail, we add the thickness of a human hair (4×10^−3 inches) to the thickness of the fingernail (0.011 inches thicker):
4×10^−3 inches + 0.011 inches = 0.015 inches
Therefore, the thickness of a fingernail is 0.015 inches.
The correct answer is:
0.015 inches