Distributive Property Worksheet Generator

Print free distributive property worksheets for grades 3–6. Break apart a factor step by step (7 × 16 = 7 × (10 + 6) = 70 + 42), split a dot array into two products, fill in the missing number, check the common mistake with true or false, or move on to grade 6 expressions: expand 3(x + 4) and factor out the GCF. Mix them on one page and add an answer key.

Start 3rd graders with facts within 10 and the split array — the dashed line shows 7 × 8 as 7 × 5 plus 7 × 3. Break apart one-digit × two-digit by tens and ones in 4th grade, and use the true or false page to catch the classic slip of multiplying only the first number. The grade 6 setting turns missing numbers and true or false into expressions like 3(x + 4) = 3x + 12; the expand & factor activity practices factoring out the GCF.

Go to print queue →6 problems
Distributive Property: Break Apart
Break apart the bigger factor, multiply each part, then add the two products.
1
4 × 67 = 4 × (60 + )
= (4 × ) + (4 × )
= +
=
2
5 × 95 = 5 × (90 + )
= (5 × ) + (5 × )
= +
=
3
6 × 24 = 6 × (20 + )
= (6 × ) + (6 × )
= +
=
4
4 × 25 = 4 × (20 + )
= (4 × ) + (4 × )
= +
=
5
3 × 47 = 3 × (40 + )
= (3 × ) + (3 × )
= +
=
6
5 × 21 = 5 × (20 + )
= (5 × ) + (5 × )
= +
=
Answer KeyDistributive Property: Break Apart
1
4 × 67 = 4 × (60 + 7)
= (4 × 60) + (4 × 7)
= 240 + 28
= 268
2
5 × 95 = 5 × (90 + 5)
= (5 × 90) + (5 × 5)
= 450 + 25
= 475
3
6 × 24 = 6 × (20 + 4)
= (6 × 20) + (6 × 4)
= 120 + 24
= 144
4
4 × 25 = 4 × (20 + 5)
= (4 × 20) + (4 × 5)
= 80 + 20
= 100
5
3 × 47 = 3 × (40 + 7)
= (3 × 40) + (3 × 7)
= 120 + 21
= 141
6
5 × 21 = 5 × (20 + 1)
= (5 × 20) + (5 × 1)
= 100 + 5
= 105