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Perform the following calculations and provide examples of number properties.

Mathematics

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Step-by-step solution

3 steps

Here are the calculations and examples:

  1. Calculate: a)

    27835+32132=5996727835 + 32132 = \boxed{59967}

    b)

    45371+12625=5799645371 + 12625 = \boxed{57996}

    c)

    51832+32749=8458151832 + 32749 = \boxed{84581}
  2. Calculate: a)

    457834−325613=132221457834 - 325613 = \boxed{132221}

    b)

    788569−123479=665090788569 - 123479 = \boxed{665090}

    c)

    384789−325894=58895384789 - 325894 = \boxed{58895}
  3. Calculate: a)

    14815×38=56297014815 \times 38 = \boxed{562970}

    b)

    29783×24=71479229783 \times 24 = \boxed{714792}

    c)

    38765×36=139554038765 \times 36 = \boxed{1395540}
  4. Calculate: a)

  1. Divide 36842 by 22.

    $$
    \frac{36842}{22} = 1674 \text{ with a remainder of } 14
    $$
    As a decimal:
    $$
    \frac{36842}{22} \approx \boxed{1674.64}
    $$
    **b)**
    
  2. Divide 96431 by 63.

    $$
    \frac{96431}{63} = 1530 \text{ with a remainder of } 41
    $$
    As a decimal:
    $$
    \frac{96431}{63} \approx \boxed{1530.65}
    $$
    **c)**
    
  3. Divide 76593 by 45.

    $$
    \frac{76593}{45} = 1702 \text{ with a remainder of } 3
    $$
    As a decimal:
    $$
    \frac{76593}{45} \approx \boxed{1702.07}
    $$
    

    5. Give an example of each of these properties of number. * Commutative Property: * For addition: 3+7=7+3=103 + 7 = 7 + 3 = \boxed{10} * For multiplication: 4×5=5×4=204 \times 5 = 5 \times 4 = \boxed{20} * Associative Property: * For addition: (2+3)+4=2+(3+4)=9(2 + 3) + 4 = 2 + (3 + 4) = \boxed{9} * For multiplication: (2×3)×4=2×(3×4)=24(2 \times 3) \times 4 = 2 \times (3 \times 4) = \boxed{24}

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