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Solve the following arithmetic problems: a) -52 + 16; b) -102 - 206; c) 250 - (-30) + (-20); d) 31 - 19 + 28 - 12; e) 123 - 345 + 678; f) 47 - 78 - (-64); g) -100 - 150 + 0; h) 56 - (-50) - 40

Mathematics

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Step-by-step solution

28 steps

Here are the calculations:

1. Calculate.

a)

  1. Add the numbers.

    −52+16=−36-52 + 16 = -36

    The answer is −36\boxed{-36}.

    b)

  2. Subtract the numbers.

    −102−206=−308-102 - 206 = -308

    The answer is −308\boxed{-308}.

    c)

  3. Simplify the signs.

    250−(−30)+(−20)=250+30−20250 - (-30) + (-20) = 250 + 30 - 20

  4. Perform the additions and subtractions from left to right.

    250+30−20=280−20=260250 + 30 - 20 = 280 - 20 = 260

    The answer is 260\boxed{260}.

    d)

  5. Perform the additions and subtractions from left to right.

    31−19+28−12=12+28−1231 - 19 + 28 - 12 = 12 + 28 - 12

  6. Continue performing operations from left to right.

    12+28−12=40−12=2812 + 28 - 12 = 40 - 12 = 28

    The answer is 28\boxed{28}.

    e)

  7. Perform the additions and subtractions from left to right.

    123−345+678=−222+678123 - 345 + 678 = -222 + 678

  8. Complete the addition.

    −222+678=456-222 + 678 = 456

    The answer is 456\boxed{456}.

    f)

  9. Simplify the signs.

    47−78−(−64)=47−78+6447 - 78 - (-64) = 47 - 78 + 64

  10. Perform the additions and subtractions from left to right.

    47−78+64=−31+64=3347 - 78 + 64 = -31 + 64 = 33

    The answer is 33\boxed{33}.

    g)

  11. Perform the additions and subtractions from left to right.

    −100−150+0=−250+0-100 - 150 + 0 = -250 + 0

  12. Complete the addition.

    −250+0=−250-250 + 0 = -250

    The answer is −250\boxed{-250}.

    h)

  13. Simplify the signs.

    56−(−50)−40=56+50−4056 - (-50) - 40 = 56 + 50 - 40

  14. Perform the additions and subtractions from left to right.

    56+50−40=106−40=6656 + 50 - 40 = 106 - 40 = 66

    The answer is 66\boxed{66}.

    i)

  15. Perform the additions and subtractions from left to right.

    920−10−800=910−800920 - 10 - 800 = 910 - 800

  16. Complete the subtraction.

    910−800=110910 - 800 = 110

    The answer is 110\boxed{110}.

    j)

  17. Perform the subtractions from left to right.

    10−25−36=−15−3610 - 25 - 36 = -15 - 36

  18. Complete the subtraction.

    −15−36=−51-15 - 36 = -51

    The answer is −51\boxed{-51}.

    k)

  19. Simplify the signs.

    −11+23−46+(−12)=−11+23−46−12-11 + 23 - 46 + (-12) = -11 + 23 - 46 - 12

  20. Perform the additions and subtractions from left to right.

    −11+23−46−12=12−46−12-11 + 23 - 46 - 12 = 12 - 46 - 12

  21. Continue performing operations from left to right.

    12−46−12=−34−12=−4612 - 46 - 12 = -34 - 12 = -46

    The answer is −46\boxed{-46}.

    l)

  22. Simplify the signs.

    314−(−25)+1−129=314+25+1−129314 - (-25) + 1 - 129 = 314 + 25 + 1 - 129

  23. Perform the additions and subtractions from left to right.

    314+25+1−129=339+1−129314 + 25 + 1 - 129 = 339 + 1 - 129

  24. Continue performing operations from left to right.

    339+1−129=340−129=211339 + 1 - 129 = 340 - 129 = 211

    The answer is 211\boxed{211}.

    2. Word problems.

    a) What is 258 plus 329?

  25. Add the numbers.

    258+329=587258 + 329 = 587

    The answer is 587\boxed{587}.

    b) What is 258 plus -319?

  26. Add the numbers.

    258+(−319)=258−319=−61258 + (-319) = 258 - 319 = -61

    The answer is −61\boxed{-61}.

    c) What is 1 023 minus 648?

  27. Subtract the numbers.

    1023−648=3751023 - 648 = 375

    The answer is 375\boxed{375}.

    d) What is 648 minus 1 023?

  28. Subtract the numbers.

    648−1023=−375648 - 1023 = -375

    The answer is −375\boxed{-375}.

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