2.3 subtracting whole #s and decimals.notebook September 30, 2011 Everyday Math 2.3 Unit 2 Lesson 3 Mental Math and Reflexes Subtraction of Whole Numbers and Decimals Write these numbers in expanded notation on your slates. 0.12 Objective: To review the trade-first and partial-differences methods for subtraction. Reminder Expanded notation expresses a number as the sum of the values of each digit. 0.59 0.47 TLG Page 81 Getting Started Unit 2 Lesson 3 Mental Math and Reflexes 2.3 Everyday Math 2.3 Everyday Math 1 7 Write these numbers in expanded notation on your slates. 0.381 Solve each problem. 8.1 - 4.7 = ? 81 - 47 = ? Reminder Expanded notation expresses a number as the sum of the values of each digit. 0.872 5 11 Math Message Mental Math and Reflexes 0.654 9 3 Describe how the two problems are alike and different. TLG Page 92 Getting Started TLG Page 81 Getting Started Mental Math and Reflexes Math Message 1 7 9 Trade-First Method 3 5 11 Math Message 2.3 Everyday Math 2.3 Everyday Math Follow along with this example on page 15 in your SRB. Follow Up Subtract 275 from 463 100s 81 - 47 = 3.4 8.1 - 4.7 = 34 Why are these solutions incorrect? 100s 10s 1s 4 6 3 -2 7 5 100s 10s 4 5 6 1s -2 7 5 10s 1s 3 4 15 5 6 13 3 -2 7 5 8 8 13 3 1 Look at the 1s place. You cannot remove 5 ones from 3. So trade 1 ten for 10 ones. Now look at the 10s place.You cannot remove 7 tens from 5 tens. So trade 1 hundred for 10 tens. Now subtract in each column. TLG P. 92 TLG P. 92 Part 1 Part 1 Math Message Follow up TradeFirst Method 1 2.3 subtracting whole #s and decimals.notebook Everyday Math September 30, 2011 Everyday Math 2.3 Partial-Difference Method Follow along in your SRB on page 17. The subtraction is performed left to right, column by column. 4,261 - 2,637 = ? 4,261 - 2,637 Subtract the thousands: 4,000-2,000 Subtract the hundreds: 600-200 + 2,000 - 400 (smaller number is on top, so include the minus sign) Subtract the tens: 60-30 + 30 Subtract the ones: 7-1 - 6 (smaller number is on top, so include the minus sign) Find the total: 2,000 - 400 + 30 - 6 2.3 Reviewing the Partial-Difference Method 1,624 The smaller number in each column is always subtracted from the larger number. If the bottom number is less than the top number, then the result will be added to obtain the final answer. If the bottom number is greater than the top number , then the result will be subtracted to obtain the final answer. To find the final answer, the partial differences are added or subtracted. TLG p. 94 Part 1 PartialDifference Method TLG p. 94 Part 1 Reviewing PartialDifference Method 2.3 Everyday Math Math Journal Open your journal to page 35 and complete the problems as instructed in the directions. Remember to use the workspace provided. TLG P. 95 Part 1 Math Journal Sep 188:25 PM 2. 2.3 Everyday Math Subtraction Target Practice Instructions are on page 331 in your SRB or plan the decimal version. Start with 20. When 2 cards are turned over, use them to form a decimal number that has one digit in the ones place and one in the tenths place. (Use a counter for a decimal point) These numbers become the minuends. The game continues until one player reaches 0 without going below 0. TLG P. 95 Part 2 Sep 188:30 PM Subtraction Target Practice 2
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