Calculate $-42-[-30-50]$ : Calculate $-42-\left[(-30)+(-50)\right]$ . $\newline$ $-42-[-30-50] = -42-\left[(-80)\right] = -42+80 = 38$ .
Solve $[-437-1+8]+[234+10]-[15-17]$ : Solve $[-437-1+8]+[234-(-10)]-[15+(-17)]$ . $\newline$ $[-437-1+8]+[234+10]-[15-17] = [-430]+[244]-[-2] = -430+244+2 = -184$ .
Calculate $509+19-19+20-20$ : Calculate $509-(-19)+(-19)+20+(-20)$ . $\newline$ $509+19-19+20-20 = 509+0+0 = 509$ .
Complete the sequence $-25$ : Complete the sequence $0$ , $-5$ , $-10$ , $-15$ , ..., $-25$ . The pattern is subtracting $5$ each time. So the next number is $-20$ .
Complete the sequence $13$ : Complete the sequence $1, 4, 7, 10, \ldots$ . The pattern is adding $3$ each time. So the next number is $13$ .
Complete the sequence $8000$ : Complete the sequence $-8000$ , $-4000$ , $4000$ , .... $\newline$ The pattern is multiplying by $-0.5$ and then by $-1$ . So the next number is $8000$ .
Complete the sequence $27$ : Complete the sequence $-28$ , $-17$ , $-6$ , $16$ , .... $\newline$ The pattern is adding $11$ each time. So the next number is $27$ .
Complete the sequence $-138$ : Complete the sequence $-108$ , $-118$ , $-128$ , .... $\newline$ The pattern is subtracting $10$ each time. So the next number is $-138$ .
Pair of negative integers difference $5$ : Write a pair of negative integers with a difference of $5$ . Let's pick $-10$ and $-15$ . $-10 - (-15) = -10 + 15 = 5$ .
Pair of negative integers difference $-2$ : Write a pair of negative integers with a difference of $-2$ . $\newline$ Let's pick $-8$ and $-6$ . $-8 - (-6) = -8 + 6 = -2$ .
Pair of integers sum $100$ : Write a pair of integers with a sum of $100$ . Let's pick $50$ and $50$ . $50 + 50 = 100$ .
Pair of integers sum negative: Write a pair of integers with a sum of a negative number. $\newline$ Let's pick $-20$ and $-30$ . $-20 + -30 = -50$ .
Pair of integers sum $0$ : Write a pair of integers with a sum of $0$ . Let's pick $25$ and $-25$ . $25 + (-25) = 0$ .
Subtract sum of $38$ and $97$ from $237$ : Subtract the sum of $38$ and $97$ from $237$ . $237 - (38 + 97) = 237 - 135 = 102.$
Subtract $-48$ from sum of $-34$ and $-49$ : Subtract $-48$ from the sum of $-34$ and $-49$ . $(-34 + -49) - (-48) = -83 + 48 = -35.$
Find additive inverse of $509$ : Find the additive inverse of $509$ . The additive inverse of $509$ is $-509$ .
Find additive inverse of $-19$ : Find the additive inverse of $-19$ . The additive inverse of $-19$ is $19$ .
Find additive inverse of $20$ : Find the additive inverse of $20$ . The additive inverse of $20$ is $-20$ .