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Solve these multiplication problems using the distributive property: a) 14 x 6 b) 25 x 3 c) 37 x 8

Mathematics

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Here are the solutions using the method shown in the example:

Part a· 4 steps

14×614 \times 6

1046\begin{array}{c c c} \boxed{10} & \boxed{4} & \boxed{6} \\ \end{array}

  1. Break down the first number into tens and units.

    14×6=(10+4)×614 \times 6 = (10 + 4) \times 6

  2. Apply the distributive property.

    =(10×6)+(4×6)= (10 \times 6) + (4 \times 6)

  3. Calculate each product.

    =60+24= 60 + 24

  4. Add the results.

    =84= \boxed{84}

Part b· 4 steps

25×325 \times 3

2053\begin{array}{c c c} \boxed{20} & \boxed{5} & \boxed{3} \\ \end{array}

  1. Break down the first number into tens and units.

    25×3=(20+5)×325 \times 3 = (20 + 5) \times 3

  2. Apply the distributive property.

    =(20×3)+(5×3)= (20 \times 3) + (5 \times 3)

  3. Calculate each product.

    =60+15= 60 + 15

  4. Add the results.

    =75= \boxed{75}

Part c· 4 steps

37×837 \times 8

3078\begin{array}{c c c} \boxed{30} & \boxed{7} & \boxed{8} \\ \end{array}

  1. Break down the first number into tens and units.

    37×8=(30+7)×837 \times 8 = (30 + 7) \times 8

  2. Apply the distributive property.

    =(30×8)+(7×8)= (30 \times 8) + (7 \times 8)

  3. Calculate each product.

    =240+56= 240 + 56

  4. Add the results.

    =296= \boxed{296}
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