a)-54--157-(-154)+57 b)231+(-54)+(-231)+(-64)+123+277 c)-200-(1861-655)+61-2655 d)(467-648)-(467+152) e)-37.(-19)+37...(-119) g)12.(-47)+37.(-119) h)1-4-7+10+13-16-19+22 f)49²-49.(-52)-49

1. This is a problem involving arithmetic operations with integers and decimals. The key idea is to follow the order of operations (PEMDAS/BODMAS) to simplify the expressions step by step. 2. Let's solve each problem step by step: a) \(-54 - (-157) - (-154) + 57\) First, we simplify the double negative: \(-54 + 157 - (-154) + 57\) Next, we subtract the negative number: \(-54 + 157 + 154 + 57\) Finally, we add the numbers together: \(314\) b) \(231 + (-54) + (-231) + (-64) + 123 + 277\) We can simply add all the numbers together: \(232\) c) \(-200 - (1861 - 655) + 61 - 2655\) First, we simplify the parentheses: \(-200 - 1206 + 61 - 2655\) Next, we add and subtract the numbers: \(-4100\) d) \((467 - 648) - (467 + 152)\) First, we simplify the parentheses: \(-181 - 619\) Next, we subtract the numbers: \(-800\) e) \(-37 \cdot (-19) + 37 \cdot \ldots (-119)\) We can simplify this expression by factoring out \(37\): \(37 \cdot (-19 + \ldots -119)\) Next, we add the negative numbers: \(37 \cdot (-138)\) Finally, we multiply the numbers: \(-5094\) g) \(12 \cdot (-47) + 37 \cdot (-119)\) We can multiply the numbers: \(-5643\) h) \(1 - 4 - 7 + 10 + 13 - 16 - 19 + 22\) We can simply add and subtract the numbers together: \(0\) f) \(49^2 - 49 \cdot (-52) - 49\) First, we simplify the multiplication: \(49^2 + 49 \cdot 52 - 49\) Next, we calculate the exponent: \(2401 + 2548 - 49\) Finally, we add and subtract the numbers: \(4900\)