⁦Multiplying round numbers and calculating with decimals⁩

⁦Multiply numbers that end in zeros (40 × 30, 650 × 300), add and subtract decimals in columns, and multiply two decimals by counting decimal places⁩.

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الدليل

⁦To multiply numbers like 40 × 30, set the end zeros aside and work out 4 × 3 = 12⁩. ⁦Then write all the zeros of both numbers after the answer⁩: ⁦40 × 30 = 1200⁩. ⁦In 800 × 200 there are two zeros and two zeros, so 8 × 2 = 16 and four zeros⁩: ⁦160 000⁩.

⁦Column multiplication does the same thing⁩: ⁦to multiply by 300, write a 0 in the ones column and a 0 in the tens column, and then multiply by 3⁩.

⁦To add and subtract⁩ عدد عشري⁦s, line up the⁩ الفاصلة العشرية ⁦so tenths are under tenths and hundredths under hundredths⁩. ⁦Fill any gap with a 0⁩: ⁦٥٫٢ = ٥٫٢٠⁩. ⁦Start on the right⁩. ⁦If the top digit is too small, exchange from the column on the left, even if that column is across the decimal point⁩.

⁦To multiply two decimals, forget the decimal points and multiply as whole numbers⁩. ⁦Then count the decimal places in both numbers together and cut off that many places from the right⁩.

⁦Every digit you get right turns green⁩. ⁦If you get stuck, press⁩ "⁦Show me this column⁩".