Multiplication can be thought of as one number telling how much to take of the other number. So 23 × 14 is like finding 14 rows of 23. The length of 23 can be decomposed into 2 tens and 3 ones, and the height of 14 can be decomposed into 1 ten and 4 ones. So 23 × 14 can be thought of as (20 + 3) × (10 + 4). To find the product, line up the factors with their ones value. Start by multiplying the ones. 4 ones × 3 ones = 12 ones. Regroup the 12 ones as 1 ten and 2 ones. 2 tens × 4 ones = 8 tens. Add the regrouped ten to make 9 tens. Next, multiply the tens. 3 ones × 1 ten = 3 tens, or 30. 2 tens x 1 ten = 200. Add the products. 92 + 230 = 322.

Multiplying by Two-Digit Numbers using the Brainingcamp Base Ten Blocks virtual manipulative.

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