Question

a
list and add the four partial products for problem a to double - check your work.
____=
____=
____=
____=
____=
total = ____
b
list and add the three partial products for problem b to double - check your work.
7×8 = ____
7×0 = ____
7×300 = ____
total = ____
c
list and add all six partial products for problem c to double - check your work.
4×5 = ____
4×40 = ____
4×400 = ____
30×5 = ____
30×40 = ____
30×400 = ____
total = ____

Explanation:

Step1: Solve problem a (partial products)

Break $56 \times 27$ into partial products:
$6 \times 7 = 42$
$6 \times 20 = 120$
$50 \times 7 = 350$
$50 \times 20 = 1000$
Add them: $42 + 120 + 350 + 1000 = 1512$
Fill the top blanks: $56 \times 2\boldsymbol{7}$, $1,1\boldsymbol{6}0$ (since $56 \times 20 = 1120$? Correction: $56 \times 27$: $56 \times 7=392$, $56 \times 20=1120$, so $11\boldsymbol{2}0$, total $392+1120=1512$. So top blanks: multiplier digit $\boldsymbol{7}$, addend tens digit $\boldsymbol{2}$)

Step2: Solve problem b (partial products)

Break $308 \times 7$ into partial products:
$7 \times 8 = 56$
$7 \times 0 = 0$
$7 \times 300 = 2100$
Add them: $56 + 0 + 2100 = 2156$
Fill the blank: $2,\boldsymbol{1}56$

Step3: Solve problem c (partial products)

First find the top number: total sum is $\boldsymbol{14,130}$, subtract $13,\boldsymbol{9}5\boldsymbol{0}$ (since $14130-13950=180$), so top number is $\boldsymbol{1},180$. The multiplication is $445 \times 34$.
Break into partial products:
$4 \times 5 = 20$
$4 \times 40 = 160$
$4 \times 400 = 1600$
$30 \times 5 = 150$
$30 \times 40 = 1200$
$30 \times 400 = 12000$
Add them: $20+160+1600+150+1200+12000=15130$? Correction: total sum is $\boldsymbol{15,130}$, so top addend is $15130-13950=1180$, so blanks: top digit $\boldsymbol{1}$, addend tens $\boldsymbol{9}$, units $\boldsymbol{0}$, total ten-thousands $\boldsymbol{1}$, thousands $\boldsymbol{5}$.

Answer:

Problem a

Partial products:
$6 \times 7 = 42$
$6 \times 20 = 120$
$50 \times 7 = 350$
$50 \times 20 = 1000$
Total = $1512$
Top blanks: Multiplier digit $\boldsymbol{7}$, addend tens digit $\boldsymbol{2}$

Problem b

Partial products:
$7 \times 8 = 56$
$7 \times 0 = 0$
$7 \times 300 = 2100$
Total = $2156$
Blank: $\boldsymbol{1}$

Problem c

Partial products:
$4 \times 5 = 20$
$4 \times 40 = 160$
$4 \times 400 = 1600$
$30 \times 5 = 150$
$30 \times 40 = 1200$
$30 \times 400 = 12000$
Total = $15130$
Top blanks: Leading digit $\boldsymbol{1}$, addend tens $\boldsymbol{9}$, units $\boldsymbol{0}$, total ten-thousands $\boldsymbol{1}$, thousands $\boldsymbol{5}$