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## BITS and PIECES III

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**BITS and PIECES III**• Investigation 3.2 • The Great Equalizer: Common Denominators**What does the division 3.25 divided by 0.5 mean?**How many 0.5’s are in 3.25.**What can you give for a real-life situation that this**decimal division problem could represent?**What can you give for a real-life situation that this**decimal division problem could represent? How many half-meter sticks can be cut from a stick 3.25 meters long?**What is a reasonable estimate for 3.25 divided by 0.5?**3 divided by 1/2 = 6**3.25 divided by 1/2 ------Actual Answer**3 divided by 1/2 = 6 ------Estimate Is this estimate greater than or less than the actual answer?**3.25 divided by 1/2 ------Actual Answer**3 divided by 1/2 = 6 ------Estimate Is this estimate greater than or less than the actual answer? Less than because you replaced the dividend (3.25) with a less number (3.00) but kept the divisor (1/2) the same.**ALL THE SAME**3.25 divided by 0.5 325/100 divided by 5/10 325/100 divided by 50/100**3.25 divided by 0.5 = 6.5 or 6 1/2**What does the quotient 6.5 represent?**3.25 divided by 0.5 = 6.5 or 6 1/2**What does the quotient 6.5 represent? There are 6 whole 0.5’s and half of a 0.5 in 3.25. Can someone dry a picture of this?**3.25 divided by 0.5 = 6.5 or 6 1/2**What does the quotient 6.5 represent? There are 6 whole 0.5’s and half of a 0.5 in 3.25. Can someone dry a picture of this?**4.2 divided by 2.1**Estimate the quotient and write each dividend (4.2) and divisor (2.1) in fraction form with common denominators.**4.2 divided by 2.1**Estimate the quotient and write each dividend (4.2) and divisor (2.1) in fraction form with common denominators. Estimate: 4 divided by 2 =2 Fraction form: 42/10 divided by 21/10 =2 Whole number division: 42 divided by 21**0.44 divided by 0.08**Estimate the quotient and write each dividend and divisor in fraction form with common denominators.**0.44 divided by 0.08**Estimate the quotient and write each dividend and divisor in fraction form with common denominators. Estimate: 0.50 divided by 0.10 = 5 Fraction: 44/100 divided by 8/100 Whole number: 44 divided by 8 = 5.5**Write the whole number division problem that corresponds to**each problem from each set.**Write the whole number division problem that corresponds to**each problem from each set.**Without solving decide whether each set lead to the same**quotient. Explain.**Without solving decide whether each set lead to the same**quotient. Explain. Set 1 and Set 3 lead to the same answer. The problems in set 2 do not because the quantities being divided are different in each problem. Hint: Move decimals.**-For problem number one just divide to get 25.**-For number two, move the decimal point to the right 2 spots to get the answer (25). -For problem three, move the decimal to the right 3 times to get 37500 divided by 15 to get 2500.