What is the sum of 6.3×10³ and 2.41×10⁴? Use scientific notation to express your answer.
Apologies for the mistake. Let's correct it.
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
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
Wrong
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
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).
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.