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Multiplying Decimals

Multiply as whole numbers, then place the point by counting decimal places

Set the two tenths with − and +. Watch the shaded overlap in the grid — that is the answer.

First decimal

0.3

Second decimal

0.4

The grid is 1 whole. Blue columns = 0.3, red rows = 0.4. The purple overlap = 0.3 × 0.4.

Place counting

0.3 (1 dp) × 0.4 (1 dp) → 12 → 2 dp → 0.12

Product

0.12