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 add the lengths of the two insects together. In scientific notation, we write the sum of the lengths as (4×10−2 + 1.3×10−1) inches. Simplifying the sum, we have (4 + 13)×10−2 inches = 17×10−2 inches. Converting to decimal notation, we obtain 17×10−2 inches = 1.7×10−1 inches. Therefore, the total length of the two insects is approximately 1.7×10−1 inches.
To find the total length of the two insects, we need to add their lengths.
First, we convert both lengths to scientific notation.
The length of the first insect is 4×10^(-2) inches.
The length of the second insect is 1.3×10^(-1) inches.
Next, we add the two lengths together:
4×10^(-2) + 1.3×10^(-1)
To add these quantities in scientific notation, we need to make sure the exponents are the same. In this case, we can convert the first term to have an exponent of -1 by multiplying it by 10^(-1):
(4×10^(-2)) × (10^(-1))
= (4×10^(-2)) × (0.1)
Now we can add the lengths:
(4×10^(-2)) × (0.1) + 1.3×10^(-1)
= 4×10^(-3) + 1.3×10^(-1)
= 4×10^(-3) + 13×10^(-2)
= (4 + 13) × 10^(-2)
= 17 × 10^(-2)
Finally, we express the answer in scientific notation with one decimal place:
= 1.7×10^(-1) inches.
To find the total length of the two insects, we need to add their lengths together.
The first insect is approximately 4×10^(-2) inches long, which is written as 0.04 inches in decimal notation.
The second insect is about 1.3×10^(-1) inches long, which is written as 0.13 inches in decimal notation.
Now, we can add the lengths of the two insects together:
0.04 inches + 0.13 inches = 0.17 inches
Therefore, the total length of the two insects is 0.17 inches.