Evaluate. Express your answer in scientific notation.
5, point, 8, 7, times, 10, to the power minus 3 , plus, 4, point, 8, 2, times, 10, to the power minus 3
5.87×10
−3
+4.82×10
−3
To evaluate these numbers in scientific notation, we can add the digits first and then adjust the power of 10.
5.87 × 10^(-3) + 4.82 × 10^(-3)
Adding the numbers in front of the powers of 10:
5.87 + 4.82 = 10.69
Since the sum is greater than 10, we need to adjust the sum and the power of 10:
10.69 × 10^(-3) = 1.069 × 10^(-2)
To evaluate the expression and express the answer in scientific notation, we need to add the two numbers and then convert the result into scientific notation.
5.87 × 10^(-3) + 4.82 × 10^(-3)
Adding the two numbers gives us:
5.87 × 10^(-3) + 4.82 × 10^(-3) = 10.69 × 10^(-3)
Since the base of the numbers (10) is the same, we can simply add the exponents:
10.69 × 10^(-3) = 1.069 × 10^(-2)
Therefore, the answer is 1.069 × 10^(-2) in scientific notation.
To evaluate the given expression and express the answer in scientific notation, we need to perform the addition of 5.87 x 10^(-3) and 4.82 x 10^(-3).
Step 1: Perform the addition:
5.87 x 10^(-3) + 4.82 x 10^(-3) = (5.87 + 4.82) x 10^(-3)
Step 2: Add the numerical coefficients:
5.87 + 4.82 = 10.69
Step 3: Express the sum in scientific notation:
10.69 x 10^(-3)
Step 4: Since 10.69 is greater than 10, we need to move the decimal point to the left to get a number between 1 and 10. This requires increasing the exponent by 1.
10.69 x 10^(-3) = 1.069 x 10^(-2)
Therefore, the evaluated expression in scientific notation is 1.069 x 10^(-2).