A certain insect is approximately 4×10 to the power of -2 inches long a second insect is about 1.3 times 10 to the power of -1 inches long. What is the total length of the two and 6 inches use scientific notation to expressed your answer in to this one decimal place
To find the total length of the two insects, we add their lengths together.
The length of the first insect is 4 × 10^(-2) inches.
The length of the second insect is 1.3 × 10^(-1) inches.
Adding these lengths gives us (4 × 10^(-2)) + (1.3 × 10^(-1)) inches.
To express this answer in scientific notation with one decimal place, we need to adjust the decimal point to have one digit to the left.
4 × 10^(-2) inches is equivalent to 0.4 × 10^(-1) inches.
Therefore, the total length of the two insects and 6 inches is (0.4 × 10^(-1)) + (1.3 × 10^(-1)) inches.
Adding these lengths gives us 0.7 × 10^(-1) inches.
In scientific notation with one decimal place, the total length is 0.7 × 10^(-1) inches.
To find the total length of the two insects, we can add their lengths together. Let's first express both lengths in scientific notation:
Insect 1: 4×10^(-2) inches
Insect 2: 1.3×10^(-1) inches
To add the two lengths, we need to make sure they have the same exponent. So, we can convert the length of Insect 1 to the same exponent as Insect 2:
4×10^(-2) inches = 4×(10^(-1))×(10^(-1)) inches = 4×10^(-1)×10^(-1) inches = 4×10^(-1) inches
Now we can add the lengths:
4×10^(-1) inches + 1.3×10^(-1) inches = 5.3×10^(-1) inches
The total length of the two insects is approximately 5.3×10^(-1) inches.
To find the total length of the two insects, we need to add their lengths together and express the answer in scientific notation.
First, let's convert the lengths of the insects into scientific notation:
Insect 1: 4 × 10^-2 inches
Insect 2: 1.3 × 10^-1 inches
Next, we can add the lengths together to find the total length:
4 × 10^-2 + 1.3 × 10^-1
To add these numbers, we need to ensure that the exponents are the same. Since 10^-2 can be written as 10^-1 × 10^-1, we can rewrite the equation as:
4 × 10^-2 + 1.3 × 10^-1 = (4 × 10^-1 × 10^-1) + 1.3 × 10^-1
Now we have the same exponent, 10^-1, for both terms. Let's add them:
(4 × 10^-1 × 10^-1) + 1.3 × 10^-1 = 4.0 × 10^-1 + 1.3 × 10^-1
Now, we can simply add the coefficients:
4.0 × 10^-1 + 1.3 × 10^-1 = 5.3 × 10^-1
The total length of the two insects is 5.3 × 10^-1 inches.
Finally, to express this answer in scientific notation with one decimal place and 6 inches, we can rewrite 5.3 × 10^-1 as:
0.5 × 10^0 = 0.5 × 1 = 0.5 (since 10^0 = 1)
Therefore, the total length of the two insects, expressed in scientific notation with one decimal place and using 6 inches, is 0.5 inches.