(b) \( 33.679+10^{-2}=\square \) (Type an integer or a decimal.)

To solve the expression \( 33.679 + 10^{-2} \), we first need to evaluate \( 10^{-2} \), which is equal to \( 0.01 \). Adding this to \( 33.679 \) gives us: \[ 33.679 + 0.01 = 33.689 \] So, the value of \( \square \) is \( 33.689 \). --- Did you know that adding decimals is just like adding whole numbers, but with a little extra attention to the decimal point? It’s essential to line up the decimals correctly to avoid confusion! Speaking of decimals, they have a rich history dating back to ancient civilizations! The first known use of decimals traces back to the ancient Egyptians and later to the Chinese, who utilized a decimal system long before it became commonplace in the Western world. Isn't that fascinating?