3.7 Divide Decimals by Whole Numbers Thursday, September 25, 14 Essen9al Ques9on How can estimating quotients help you to place the decimal correctly? Common Core Standards • 6.NS.3 Thursday, September 25, 14 Rules When dividing a decimal by whole number, divide as with whole numbers. Then place the decimal in the quo9ent directly above its place in the dividend. Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 1. 3.6 ÷ 4 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 1. 3.6 ÷ 4 4 3.6 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 1. 3.6 ÷ 4 0 4 3.6 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 1. 3.6 ÷ 4 0. 4 3.6 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 1. 3.6 ÷ 4 0 .9 4 3.6 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 1. 3.6 ÷ 4 0 .9 4 3.6 -36 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 1. 3.6 ÷ 4 0 .9 4 3.6 -36 0 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 22 12.32 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0 22 12.32 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 22 12.32 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 22 X5 Thursday, September 25, 14 22 12.32 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 22 X5 110 Thursday, September 25, 14 22 12.32 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 5 22 X5 110 Thursday, September 25, 14 22 12.32 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 5 22 X5 110 Thursday, September 25, 14 22 12.32 -110 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 5 22 X5 110 Thursday, September 25, 14 22 12.32 -110 13 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 5 22 X5 110 Thursday, September 25, 14 22 12.32 -110 13 2 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 5 6 22 X5 110 Thursday, September 25, 14 22 12.32 -110 13 2 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 5 6 22 X5 110 Thursday, September 25, 14 22 12.32 -110 13 2 -132 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 0. 5 6 22 X5 110 Thursday, September 25, 14 22 12.32 -110 13 2 -132 0 Divide. Round to the nearest tenth if necessary. 2. 12.32 ÷ 22 ≈ 0.6 0. 5 6 22 X5 110 Thursday, September 25, 14 22 12.32 -110 13 2 -132 0 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 34 69.904 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2 34 69.904 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2 34 69.904 - 68 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2 34 69.904 - 68 1 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2. 34 69.904 - 68 1 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2. 34 69.904 - 68 19 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2.0 34 69.904 - 68 19 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2.0 34 69.904 - 68 19 0 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2.05 34 69.904 - 68 19 0 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2.05 34 69.904 - 68 19 0 -170 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2.05 34 69.904 - 68 19 0 -170 20 Thursday, September 25, 14 Divide. Round to the nearest tenth if necessary. 3. 69.904 ÷ 34 2.05 69.904 ÷ 34 ≈ 2.1 34 69.904 - 68 19 0 -170 20 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 12 5.88 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0 12 5.88 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0. 12 5.88 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0. 4 12 5.88 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0. 4 12 5.88 -48 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0. 4 12 5.88 -48 10 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0. 4 12 5.88 -48 10 8 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0. 4 9 12 5.88 -48 10 8 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0. 4 9 12 5.88 -48 10 8 -108 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0. 4 9 12 5.88 -48 10 8 -108 0 Thursday, September 25, 14 Word Problems 4. Light travels 5.88 trillion miles in one year. How far will light travel in one month? 0. 4 9 12 5.88 -48 10 8 -108 0 Thursday, September 25, 14 0.49 trillion miles Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 4 30 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7 4 30 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7 4 30 -28 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7 4 30 -28 2 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7 4 30.0 -28 2 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 4 30.0 -28 2 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 4 30.0 -28 20 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 0 Thursday, September 25, 14 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 0 Thursday, September 25, 14 10.00 - 7.50 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 0 Thursday, September 25, 14 10.00 - 7.50 0 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 0 Thursday, September 25, 14 10.00 - 7.50 0 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 0 Thursday, September 25, 14 9 10.00 - 7.50 0 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 0 Thursday, September 25, 14 9 1 10.00 - 7.50 0 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 0 Thursday, September 25, 14 9 1 10.00 - 7.50 5 0 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 0 Thursday, September 25, 14 9 1 10.00 - 7.50 2. 5 0 Word problems 5. Four dozen bagels costs $30.00. How much change will you receive if you pay for a dozen bagels with a ten-‐dollar bill? 7. 5 4 30.0 -28 20 -20 9 1 10.00 - 7.50 2. 5 0 0 The change should be $2.50. Thursday, September 25, 14 Building on the Essen9al Ques9on How can es9ma9ng quo9ents help you to place the decimal correctly? Thursday, September 25, 14 Building on the Essen9al Ques9on How can es9ma9ng quo9ents help you to place the decimal correctly? The estimate could help you determine if you have misplaced the decimal. Thursday, September 25, 14 Summarize • Make sure you do the summarize sec9on. Thursday, September 25, 14 Rate Yourself How confident are you about dividing decimals by whole numbers? Check the box that applies. Thursday, September 25, 14
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