Calculate the exact value of \( 23.06+5.9+0.989 \) by hand and by calculator. \( 23.06+5.9+0.989=\square \) (Type an integer or a decimal.)

To find the exact value of \( 23.06 + 5.9 + 0.989 \), we can line up the decimal points and add them step by step: ``` 23.060 + 5.900 + 0.989 --------- 29.949 ``` Calculating this by hand, we start with the rightmost column and move to the left: - In the thousandths place: \(0 + 0 + 9 = 9\) - In the hundredths place: \(6 + 0 + 8 = 14\) (carry over 1) - In the tenths place: \(5 + 9 + 8 + 1 = 23\) (carry over 2) - In the units place: \(3 + 5 + 2 = 10\) (write down 10) When we combine all of this together, we get \( 29.949 \). Using a calculator will provide the same result swiftly, verifying that \( 23.06 + 5.9 + 0.989 = 29.949 \). So, the exact value is \( 23.06 + 5.9 + 0.989 = 29.949 \).