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Show how to solve these multiplication problems using subtraction: a) 25 x 19 b) 25 x 29 c) 25 x 39 d) 25 x 49

Mathematics

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27 steps

Here are the solutions for each multiplication problem using subtraction:

Part a· 3 steps

25×1925 \times 19

  1. Rewrite 19 as a subtraction from a round number.

    19=20−119 = 20 - 1

  2. Apply the distributive property.

    25×19=25×(20−1)=25×20−25×125 \times 19 = 25 \times (20 - 1) = 25 \times 20 - 25 \times 1

  3. Perform the multiplications and then the subtraction.

    25×20=50025 \times 20 = 500 25×1=2525 \times 1 = 25 500−25=475500 - 25 = 475

    The answer is 475\boxed{\text{475}}

Part b· 3 steps

25×2925 \times 29

  1. Rewrite 29 as a subtraction from a round number.

    29=30−129 = 30 - 1

  2. Apply the distributive property.

    25×29=25×(30−1)=25×30−25×125 \times 29 = 25 \times (30 - 1) = 25 \times 30 - 25 \times 1

  3. Perform the multiplications and then the subtraction.

    25×30=75025 \times 30 = 750 25×1=2525 \times 1 = 25 750−25=725750 - 25 = 725

    The answer is 725\boxed{\text{725}}

Part c· 3 steps

25×3925 \times 39

  1. Rewrite 39 as a subtraction from a round number.

    39=40−139 = 40 - 1

  2. Apply the distributive property.

    25×39=25×(40−1)=25×40−25×125 \times 39 = 25 \times (40 - 1) = 25 \times 40 - 25 \times 1

  3. Perform the multiplications and then the subtraction.

    25×40=100025 \times 40 = 1000 25×1=2525 \times 1 = 25 1000−25=9751000 - 25 = 975

    The answer is 975\boxed{\text{975}}

Part d· 3 steps

25×4925 \times 49

  1. Rewrite 49 as a subtraction from a round number.

    49=50−149 = 50 - 1

  2. Apply the distributive property.

    25×49=25×(50−1)=25×50−25×125 \times 49 = 25 \times (50 - 1) = 25 \times 50 - 25 \times 1

  3. Perform the multiplications and then the subtraction.

    25×50=125025 \times 50 = 1250 25×1=2525 \times 1 = 25 1250−25=12251250 - 25 = 1225

    The answer is 1225\boxed{\text{1225}}

Part e· 3 steps

25×5925 \times 59

  1. Rewrite 59 as a subtraction from a round number.

    59=60−159 = 60 - 1

  2. Apply the distributive property.

    25×59=25×(60−1)=25×60−25×125 \times 59 = 25 \times (60 - 1) = 25 \times 60 - 25 \times 1

  3. Perform the multiplications and then the subtraction.

    25×60=150025 \times 60 = 1500 25×1=2525 \times 1 = 25 1500−25=14751500 - 25 = 1475

    The answer is 1475\boxed{\text{1475}}

Part f· 3 steps

25×6925 \times 69* (Assuming the problem is 25×6925 \times 69 based on the pattern)

  1. Rewrite 69 as a subtraction from a round number.

    69=70−169 = 70 - 1

  2. Apply the distributive property.

    25×69=25×(70−1)=25×70−25×125 \times 69 = 25 \times (70 - 1) = 25 \times 70 - 25 \times 1

  3. Perform the multiplications and then the subtraction.

    25×70=175025 \times 70 = 1750 25×1=2525 \times 1 = 25 1750−25=17251750 - 25 = 1725

    The answer is 1725\boxed{\text{1725}}

Part g· 3 steps

25×7925 \times 79

  1. Rewrite 79 as a subtraction from a round number.

    79=80−179 = 80 - 1

  2. Apply the distributive property.

    25×79=25×(80−1)=25×80−25×125 \times 79 = 25 \times (80 - 1) = 25 \times 80 - 25 \times 1

  3. Perform the multiplications and then the subtraction.

    25×80=200025 \times 80 = 2000 25×1=2525 \times 1 = 25 2000−25=19752000 - 25 = 1975

    The answer is 1975\boxed{\text{1975}}

Part h· 3 steps

25×8925 \times 89

  1. Rewrite 89 as a subtraction from a round number.

    89=90−189 = 90 - 1

  2. Apply the distributive property.

    25×89=25×(90−1)=25×90−25×125 \times 89 = 25 \times (90 - 1) = 25 \times 90 - 25 \times 1

  3. Perform the multiplications and then the subtraction.

    25×90=225025 \times 90 = 2250 25×1=2525 \times 1 = 25 2250−25=22252250 - 25 = 2225

    The answer is 2225\boxed{\text{2225}}

Part h(i)· 3 steps

25×9925 \times 99

  1. Rewrite 99 as a subtraction from a round number.

    99=100−199 = 100 - 1

  2. Apply the distributive property.

    25×99=25×(100−1)=25×100−25×125 \times 99 = 25 \times (100 - 1) = 25 \times 100 - 25 \times 1

  3. Perform the multiplications and then the subtraction.

    25×100=250025 \times 100 = 2500 25×1=2525 \times 1 = 25 2500−25=24752500 - 25 = 2475

    The answer is 2475\boxed{\text{2475}}

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