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Decimal Division

Decimal Division. You must learn the rules. Dividing a decimal by a whole number. 1.2 ÷ 2 Divisor = 2 Dividend = 1.2 Step 1: move the decimal in the dividend STRAIGHT up Divide as with whole numbers Check your answer by multiplying Quotient (0.6) x divisor (2) = dividend (1.2).

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Decimal Division

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  1. Decimal Division You must learn the rules

  2. Dividing a decimal by a whole number • 1.2 ÷ 2 • Divisor = 2 Dividend = 1.2 • Step 1: move the decimal in the dividend STRAIGHT up • Divide as with whole numbers • Check your answer by multiplying • Quotient (0.6) x divisor (2) = dividend (1.2)

  3. Dividing by a Decimal 12 ÷ 0.6 • The divisor ALWAYS has to be a whole number • You make the divisor a whole number by moving the decimal point left to right • IMPORTANT: when you move the decimal in the divisor, you must also move the decimal the same number of places in the dividend • 12 ÷ 0.6 . 12.0 . ÷ 0.6 .

  4. 12 ÷ 0.6continued • We now have 120 ÷ 6 • Divide as usual • 120 ÷ 6 = 20 • Perform the inverse operation using the original problem • 0.6 x 20 = 6 x 20 = 120 • Moving the decimal, 12.0. gives an answer of • 12, one of the original factors.

  5. Let’s try another one • 1.2 ÷ 0.2 • Because the divisor is a decimal, we move the decimal point to make it a whole number • Moving the decimal 1 place, 0.2 becomes 2 • Remember: what we do in the divisor we must also do in the dividend • Moving the decimal 1 place, 1.2 becomes 12 • Divide as usual 12 ÷ 2 = 6 • Going back to the original problems, 1.2 ÷ 0.2 • Perform the inverse operation 0.2 x 6 = 1.2

  6. Let’s try another one • 0.12 ÷ 0.6 • 0.6 is the divisor (outside) and 0.12 is the dividend (inside) • Move the decimal 1 place to change the divisor 0.6 to the whole number 6 • Move the decimal 1 place in 0.12 to make the dividend 1.2 • We now have 1.2 ÷ 6 = 0.2 • Check 0.2 x 0.6 = 0.12

  7. Important! • The divisor always has to be a whole number but the dividend does not. • The number of places you move the decimal point in the divisor is the number of places you move the decimal in the dividend.

  8. Let’s try another one • 2 ÷ 0.4 2 ÷ 0.4 • Which is the divisor? • Which is the dividend? • The decimal needs to be moved 1 place to make 0.4 = 4. • Move the decimal in the dividend one place to make 2 = 20 • Divide 20 ÷ 4 = 5 so the answer to 2 ÷ 0.4 = 5 • Now check using inverse operations • 0.4 x 5 = 4 x 5 = 20 and moving the decimal point one place = 2.0. divisor dividend

  9. Your turn! • 25 ÷ 0.5 = • Move the decimal in the divisor • Move the decimal in the dividend • Divide as usual • Check using inverse operations • And the answer is 50

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