what is 4 times 10 ^-2 plus 1.3^10-1
use scientific notation to express your answer to 1 decimal place
To express the answer in scientific notation, we will use the following format:
a x 10^b, where 1 ≤ |a| < 10.
First, let's simplify the equation:
4 times 10^-2 = 4 x 0.01 = 0.04
1.3^10-1 = 1.3^9 = 1.69350878
Adding the values together: 0.04 + 1.69350878 = 1.7335...
To express this answer in scientific notation with 1 decimal place, we can write it as:
1.7 x 10^0
To solve the expression, let's break it down step-by-step:
Step 1: Evaluate 4 times 10^-2.
4 times 10^-2 = 4 * 0.01 = 0.04
Step 2: Evaluate 1.3^10-1.
1.3^10-1 = 1.3^(10 - 1) = 1.3^9 ≈ 514.129293
Step 3: Add the results from step 1 and step 2.
0.04 + 514.129293 ≈ 514.17
Using scientific notation to express the answer to 1 decimal place, the result is approximately 5.1 x 10^2.
To solve the expression "4 times 10^-2 plus 1.3^10-1" and express the answer in scientific notation to one decimal place, we need to calculate each part separately and then add them together.
Let's start with 4 times 10^-2. To do this, we multiply 4 by 10 raised to the power of -2.
4 * 10^-2 = 4 * 0.01 = 0.04
Next, let's calculate 1.3^10-1. This means 1.3 raised to the power of 10 minus 1.
1.3^10-1 = 1.3^9 = 5.6649
Now, let's add the two results together.
0.04 + 5.6649 = 5.7049
Finally, we need to express the answer in scientific notation to one decimal place. In scientific notation, a number is expressed in the form "a x 10^b", where "a" is a number between 1 and 10 (inclusive) and "b" is an integer.
To express 5.7049 in scientific notation with one decimal place, we need to move the decimal point one place to the left. This gives us:
5.7 x 10^0
So, the answer to "4 times 10^-2 plus 1.3^10-1" in scientific notation to one decimal place is 5.7 x 10^0.