numberleaf.A little less prep.

PLACE VALUE / PARTIAL PRODUCTS / COLUMNS

Bigger numbers.
Clearer working.

Build the bridge from multiplication facts to multi-digit calculations. Choose an area model or a vertical layout, with six spacious problems and worked answers on a separate page.

Start with 2 digits × 1 digitArea models · 6 questions + worked answer key
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BUILD THE NEXT STEP

Make it yours

One-digit multipliers range from 2 to 9. Area models label place values; rectangles are not drawn to scale. Switch methods to use the same six questions.

PRINT PREVIEW

Room for the reasoning

Area models & partial productsNUMBERLEAF / MULTI-DIGIT MULTIPLICATIONArea models & partial products2 digits × 1 digitName: ____________________________ Date: ______________Multiply each pair of place values. Add the partial products. Models are not to scale.1.59 × 5 = ________5095Add the partial products:2.86 × 7 = ________8067Add the partial products:3.51 × 3 = ________5013Add the partial products:4.11 × 7 = ________1017Add the partial products:5.70 × 2 = ________7002Add the partial products:6.22 × 2 = ________2022Add the partial products:numberleafmath.com · 2x1 · areaEdition 0YPTP8Y
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TEACHER & FAMILY NOTES

Keep the value
in every digit.

Try 23 × 4 together

Split 23 into 20 + 3. Multiply each part by 4: 20 × 4 = 80 and 3 × 4 = 12. Add 80 + 12 = 92. Ask the learner to point to each part of the area model and explain what its label means.

Connect that reasoning to the vertical method: 4 × 3 ones is 12 ones. Write 2 ones and regroup 1 ten. Then 4 × 2 tens plus 1 ten is 9 tens. The answer is 92. On one-digit answer keys, small numbers above the digits record the regrouped amounts.

Then try 23 × 14

Split both factors: (20 + 3) × (10 + 4). The four areas are 200, 30, 80 and 12; together they make 322. In columns, the ones row is 23 × 4 = 92 and the tens row is 23 × 10 = 230. Adding 92 + 230 gives 322.

If a learner writes 23 instead of 230 in the tens row, ask, “Are you multiplying by one, or by one ten?” A zero in a number still holds a place: for 205 × 3, the model includes 200, 0 and 5. Its partial products are 600, 0 and 15.

Choose the support that helps

Use area models when the learner needs to see how the factors split into place values. Switch to columns for practice with a written calculation. Changing the method keeps the same questions, making the two representations easy to compare. Start with No regrouping for a one-digit multiplier, then select With regrouping to ensure every question needs it.

The two-digit setting uses a mixture of calculations. Its answer key shows both full partial products, including the tens place, rather than crowding the page with two sets of carry marks. The key shows one valid method; accept another correct method with sound reasoning.

Scope and next steps

These worksheets support parts of Common Core 4.NBT.B.5: up to four digits times one digit, and two digits times two digits. They provide area and written methods; they are supplementary practice, not complete coverage or a mastery assessment. Choose by readiness, not grade alone.

If multiplication facts are taking all the attention, revisit a focused fact sheet. For the meaning of multiplication, explore arrays and equal groups. See the printing guide, or report a question that needs correcting.