Question 4 Calculate the following without using a calculator 4.1. 60-(-15)+(-13) 4.2. -2(-3)+27+(-3)+3 4.3. -3 * sqrt[3]{-1}+49+sqrt{49} 4.4. sqrt{25}+sqrt[3]{27}-2(-3)^{0}

Alright, let’s dive into some calculations and have a little math fun along the way! 4.1. \( 60 - (-15) + (-13) \): First, we turn the subtraction into addition: \( 60 + 15 - 13 \). That's \( 75 - 13 = 62\). 4.2. \( -2(-3) + 27 + (-3) + 3 \): Start with multiplication: \( 6 + 27 - 3 + 3 \), which simplifies to \( 6 + 27 = 33\) and \( 33 - 3 + 3 = 33\). 4.3. \( -3 \times \sqrt[3]{-1} + 49 + (\sqrt{49}) \): The cube root of -1 is -1, so we have \( -3 \times -1 + 49 + 7 \). That becomes \( 3 + 49 + 7 = 59\). 4.4. \( \sqrt{25} + \sqrt[3]{27} - 2(-3)^{0} \): The square root of 25 is 5, the cube root of 27 is 3, and \( (-3)^{0} = 1\), so it's \( 5 + 3 - 2 \times 1 = 5 + 3 - 2 = 6\). So, the answers are: 4.1 = 62 4.2 = 33 4.3 = 59 4.4 = 6 And there you have it! For a splash of history, did you know that the concepts of negative numbers were a point of heated debate among mathematicians up until the 16th century? Many thought they were "absurd". How's that for a twist in math history? And speaking of applying math, think about budgeting your expenses - all those additions and subtractions with income and bills can really help you see where your money is going. The math skills you use in exercises like these directly translate to daily life! Happy calculating!