Question

a
list and add the four partial products for problem a to double - check your work.

b
list and add the three partial products for problem b to double - check your work.

Explanation:

Step1: Solve problem a (find missing digits)

First, identify the full multiplication: $56 \times 2\square = 1512$.
Calculate the unknown digit: $\frac{1512}{56} = 27$.
Now find the missing partial product:
$50 \times 20 = 1000$
$50 \times 7 = 350$

Step2: Verify problem a sums

Add all four partial products:
$42 + 120 + 350 + 1000 = 1512$

Step3: Solve problem b (find missing digits)

First, identify the full multiplication: $308 \times 7 = 2\square56$.
Calculate the product: $308 \times 7 = 2156$.

Step4: Calculate problem b partial products

$7 \times 8 = 56$
$7 \times 0 = 0$
$7 \times 300 = 2100$

Step5: Verify problem b sum

Add the three partial products:
$56 + 0 + 2100 = 2156$

Answer:

Problem a:

Missing digit in multiplier: 7
Missing digit in partial product: 5
Four partial products:
$6 \times 7 = 42$
$6 \times 20 = 120$
$50 \times 7 = 350$
$50 \times 20 = 1000$
Total = 1512

Problem b:

Missing digit in product: 1
Three partial products:
$7 \times 8 = 56$
$7 \times 0 = 0$
$7 \times 300 = 2100$
Total = 2156