Question

An American football field has an area of 6.4 x 10° 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. (1 point)

Answer 1

A human hair has a diameter of about 4 x 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. (1 point)

Answer 2

To find the area of a Canadian football field, we can add the additional area to the area of the American football field.

The additional area is given as 3,350 square yards.

Therefore, the area of a Canadian football field is 6.4 x 10° + 3,350 square yards.

To write this in scientific notation to 2 decimal places, we can convert the number 3,350 to scientific notation first.

3,350 = 3.35 x 10³

Now, we can add this to the area of the American football field.

6.4 x 10° + 3.35 x 10³

When adding numbers in scientific notation, the exponents must be the same. In this case, we can rewrite 6.4 x 10° as 6.4 x 10³.

Therefore, the area of a Canadian football field is 6.4 x 10³ + 3.35 x 10³ = 9.75 x 10³.

So, the area of a Canadian football field is 9.75 x 10³ square yards in scientific notation to 2 decimal places.

Answer 3

To find the thickness of a fingernail, we need to add the difference in thickness to the diameter of a human hair.

The difference in thickness is given as 0.011 inches.

Therefore, the thickness of a fingernail is 4 x 10-3 + 0.011 inches.

To add these numbers, we need to convert 4 x 10-3 to decimal form.

4 x 10-3 = 0.004.

Now, we can add the numbers.

0.004 + 0.011 = 0.015.

So, the thickness of a fingernail is 0.015 inches.