The sum of 6.3×10³ and 2.41×10⁴ can be calculated by adding the decimal parts separately and then adjusting the exponent to match the largest exponent.
The decimal parts are: 6.3 and 2.41.
Adding these decimal parts gives: 6.3 + 2.41 = 8.71
The largest exponent is 10⁴.
Therefore, the sum in scientific notation is: 8.71×10⁴
What is the sum of 6.3×10³ and 2.41×10⁴? Use scientific notation to express your answer.
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To add numbers in scientific notation, we need to make sure that they have the same exponent. In this case, we have:
6.3×10³ = 6.3×1000 = 6300
2.41×10⁴ = 2.41×10000 = 24100
Now, we can add these two numbers:
6300 + 24100 = 30400
To express the answer in scientific notation, we need to determine the exponent based on the largest power of 10. In this case, it is 10⁴.
Therefore, the sum is 3.04×10⁴
To add numbers in scientific notation, we need to make sure that they have the same exponent. In this case, we have:
6.3×10³ = 6.3×1000 = 6300
2.41×10⁴ = 2.41×10000 = 24100
Now, we can add these two numbers:
6300 + 24100 = 30400
To express the answer in scientific notation, we need to determine the exponent based on the largest power of 10. In this case, it is 10⁴.
Therefore, the sum is 3.04×10⁴
An American football field has an area of 6.4×10³ square yards. A Canadian football field is 3,350 square yards larger. What is the area of a Canadian foot ball field? Write your answer in scientific notation to 2 decimal places.
□×10³
□×10³
To find the area of the Canadian football field, we need to add the 3,350 square yards to the area of the American football field:
6.4×10³ + 3,350 = 6.4×10³ + 3.35×10³
To add these numbers, we need to make sure they have the same exponent, which is 10³. So, let's rewrite the second number in scientific notation:
3.35×10³
Now we can add these two numbers:
6.4×10³ + 3.35×10³ = 9.75×10³
Therefore, the area of a Canadian football field is 9.75×10³ square yards.
6.4×10³ + 3,350 = 6.4×10³ + 3.35×10³
To add these numbers, we need to make sure they have the same exponent, which is 10³. So, let's rewrite the second number in scientific notation:
3.35×10³
Now we can add these two numbers:
6.4×10³ + 3.35×10³ = 9.75×10³
Therefore, the area of a Canadian football field is 9.75×10³ square yards.
A human hair has a diameter of about 4×10^-³ inches. A finger 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 need to add the thickness of a human hair (4×10^-³ inches) to the additional thickness of a finger (0.011 inches).
Adding these two values gives:
4×10^-³ + 0.011
Since we are dealing with different powers of 10 in scientific notation, we need to convert 0.011 to scientific notation:
0.011 = 11×10^-³
Now we can add these two values:
4×10^-³ + 11×10^-³ = 15×10^-³
Therefore, the thickness of a fingernail is 15×10^-³ inches.
In decimal form, this is equal to 0.015 inches (rounded to 3 decimal places).
Adding these two values gives:
4×10^-³ + 0.011
Since we are dealing with different powers of 10 in scientific notation, we need to convert 0.011 to scientific notation:
0.011 = 11×10^-³
Now we can add these two values:
4×10^-³ + 11×10^-³ = 15×10^-³
Therefore, the thickness of a fingernail is 15×10^-³ inches.
In decimal form, this is equal to 0.015 inches (rounded to 3 decimal places).
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