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Solve the following multiplication problems: Fill in the blanks and perform the multiplications.

Mathematics

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Step-by-step solution

14 steps

A. Fill in the blanks.

  1. 2150×1=21502150 \times 1 = \boxed{2150}
  2. 279×6=1674279 \times 6 = \boxed{1674}
  3. 31×50=155031 \times 50 = \boxed{1550}
  4. 489×900=440100489 \times 900 = \boxed{440100}
  5. 25296×0=025296 \times 0 = \boxed{0}
  6. 329×19=19×329329 \times 19 = 19 \times \boxed{329}
  7. 0×52×126=00 \times 52 \times 126 = \boxed{0}
  8. 2674×1=26742674 \times 1 = \boxed{2674}
  9. The estimated product of 12×4312 \times 43: Rounding 12 to 10 and 43 to 40: 10×40=40010 \times 40 = \boxed{400}
  10. The estimated product of 112×792112 \times 792: Rounding 112 to 100 and 792 to 800: 100×800=80000100 \times 800 = \boxed{80000}

B. Multiply the following.

  1. 3267×6=196023267 \times 6 = \boxed{19602}
  2. 7392×9=665287392 \times 9 = \boxed{66528}
  3. 500×21=10500500 \times 21 = \boxed{10500}
  4. 1892×521892 \times 52

  1. Multiply 1892 by 2.

    $$
1892 \times 2 = 3784
$$

  2. Multiply 1892 by 50.

    $$
1892 \times 50 = 94600
$$

  3. Add the results from Step 1 and Step 2.

    $$
3784 + 94600 = \boxed{98384}
$$

    5. 639×98639 \times 98

  4. Multiply 639 by 8.

    $$
639 \times 8 = 5112
$$

  5. Multiply 639 by 90.

    $$
639 \times 90 = 57510
$$

  6. Add the results from Step 1 and Step 2.

    $$
5112 + 57510 = \boxed{62622}
$$

    6. 200×150=30000200 \times 150 = \boxed{30000} 7. 369×278369 \times 278

  7. Multiply 369 by 8.

    $$
369 \times 8 = 2952
$$

  8. Multiply 369 by 70.

    $$
369 \times 70 = 25830
$$

  9. Multiply 369 by 200.

    $$
369 \times 200 = 73800
$$

  10. Add the results from Step 1, Step 2, and Step 3.

    $$
2952 + 25830 + 73800 = \boxed{102582}
$$

    8. 132×300=39600132 \times 300 = \boxed{39600}

    C. Find the product.

    1. 732×8732 \times 8

  11. Fill in the grid by multiplying each part of 732 by 8.

    $$
\begin{array}{|c|c|c|c|}
\hline
\times & 700 & 30 & 8 \\
\hline
8 & 5600 & 240 & 64 \\
\hline
\end{array}
$$

  12. Sum the products from the grid.

    $$
5600 + 240 + 64 = \boxed{5904}
$$

    2. 2819×132819 \times 13

  13. Fill in the grid by multiplying each part of 2819 by 3 and by 10.

    $$
\begin{array}{|c|c|c|c|c|}
\hline
\times & 2000 & 800 & 10 & 9 \\
\hline
3 & 6000 & 2400 & 30 & 27 \\
\hline
10 & 20000 & 8000 & 100 & 90 \\
\hline
\end{array}
$$

  14. Sum all the products from the grid.

    $$
6000 + 2400 + 30 + 27 + 20000 + 8000 + 100 + 90
$$
$$
= 36400 + 247 = \boxed{36647}
$$
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