Math 3 - Expanded Notation.pptx

Elaborate Examples on How to Express Whole Numbers in Expanded Form

1. Expanded Notation of a Number Teacher CIEJEI

2. Example #1 Expanded Form – 1 st Method 1. Express the number as a sum of the value of its digits. 3 300 4 8 = 300 + 40 + 8 3 in hundred’s place → 40 4 in ten’s place → 8 8 in one’s place → 2. Write the values as the sum in decreasing order.

3. Example #2 Expanded Form – 1 st Method 1. Express the number as a sum of the value of its digits. 9 900 7 3 = 900 + 70 + 3 9 in hundred’s place → 70 7 in ten’s place → 3 3 in one’s place → 2. Write the values as the sum in decreasing order.

4. Example #3 Expanded Form – 1 st Method 1. Express the number as a sum of the value of its digits. 7 700 2 1 = 700 + 20 + 1 7 in hundred’s place → 20 2 in ten’s place → 1 1 in one’s place → 2. Write the values as the sum in decreasing order.

5. Example #4 1. Express the number as a sum of the value of its digits. 8 800 1 5 = 7,000 + 800 + 10 + 5 8 in hundred’s place → 10 1 in ten’s place → 5 5 in one’s place → 2. Write the values as the sum in decreasing order. 7, 7,000 7 in thousand’s place → Expanded Form – 1 st Method

6. Example #5 1. Express the number as a sum of the value of its digits. 3 300 9 4 = 1,000 + 300 + 90 + 4 3 in hundred’s place → 90 9 in ten’s place → 4 4 in one’s place → 2. Write the values as the sum in decreasing order. 1, 1,000 1 in thousand’s place → Expanded Form – 1 st Method

7. Example #4 1. Express the number as a sum of the value of its digits. 3 300 7 4 = 20,000+7,000+300+70+4 3 in hundred’s place → 70 7 in ten’s place → 4 4 in one’s place → 2. Write the values as the sum in decreasing order. 7, 7,000 7 in thousand’s place → 2 20,000 2 in ten thousand’s place → Expanded Form – 1 st Method

8. Example #5 1. Express the number as a sum of the value of its digits. 2 200 5 = 90,000 + 3,000 + 200 + 5 2 in hundred’s place → - 0 in ten’s place → 5 5 in one’s place → 2. Write the values as the sum in decreasing order. 3, 3,000 3 in thousand’s place → 9 90,000 9 in ten thousand’s place → Expanded Form – 1 st Method

9. Write each digit followed by a series of zeroes (as many as its proceeding digits) ,829 1 ,000 1 29 1,8 00 8 + 9 1,82 2 + 9 1,82 9 + Express 1,829 in expanded form. EXAMPLE # 1: ANS: 1,829 = 1,000 + 800 + 20 + 9 Expanded Form – 2 nd Method

10. Write each digit followed by a series of zeroes (as many as its proceeding digits) ,382 7 ,000 7 82 7,3 00 3 + 2 7,38 8 + 2 7,38 2 + Express 7,382 in expanded form. EXAMPLE # 2: ANS: 7,382 = 7,000 + 300 + 80 + 2 Expanded Form – 2 nd Method

11. Write each digit followed by a series of zeroes (as many as its proceeding digits) 9,345 8 0,000 8 ,345 8 9 ,000 9 + 45 89,3 00 3 + 5 89,34 4 + 5 89,34 5 + Express 89,345 in expanded form. EXAMPLE # 3: ANS: 89,345 = 80,000 + 9,000 + 300 + 40 + 5 Expanded Form – 2 nd Method

12. Write each digit followed by a series of zeroes (as many as its proceeding digits) 3,215 4 0,000 4 215 43 ,000 3 + 15 43,2 00 2 + 5 43,21 1 + 5 43,21 5 + Express 43,215 in expanded form. EXAMPLE #4: ANS: 43,215 = 40,000 + 3,000 + 200 + 10 + 5 Expanded Form – 2 nd Method

13. Express 7 5 2, 1 3 8 in expanded form. 7 5 2 1 3 8 00,000 + 0,000 + ,000 + 00 + 0 + 700,000 + 50,000 + 2,000 + 100 + 30 + 8 1. Use the digits as starting answer. 2. Add as many zeroes needed to replace the following digits 3. Supply a series of zeroes in the next digits in decreasing manner (one by one) Expanded Form – 3 rd Method

14. Express 3 9 4 7 2 5 in expanded form. 3 9 4 7 2 5 00,000 + 0,000 + ,000 + 00 + 0 + 300,000 + 90,000 + 4,000 + 700 + 20 + 5 1. Use the digits as starting answer. 2. Add as many zeroes needed to replace the following digits 3. Supply a series of zeroes in the next digits in decreasing manner (one by one) Expanded Form – 3 rd Method

15. Express 4 6 3, 9 5 7 in expanded form. 4 6 3 9 5 7 00,000 + 0,000 + ,000 + 00 + 0 + 400,000 + 60,000 + 3,000 + 900 + 50 + 7 1. Use the digits as starting answer. 2. Add as many zeroes needed to replace the following digits 3. Supply a series of zeroes in the next digits in decreasing manner (one by one) Expanded Form – 3 rd Method

16. Express 7, 3 5 2, 8 5 4 in expanded form. 7 3 5 2 8 5 4 ,000,000 + 00,000 + 0,000 + ,000 + 00 + 0 + 7,000,000 + 300,000 + 50,000 + 2,000 + 800 + 50 + 4 1. Use the digits as starting answer. 2. Add as many zeroes needed to replace the following digits 3. Supply a series of zeroes in the next digits in decreasing manner (one by one) Expanded Form – 3 rd Method

17. Express 4 5, 2 3 4, 9 2 5 in expanded form. 4 5 2 3 4 9 2 5 0,000,000 + ,000,000 + 00,000 + 0,000 + ,000 + 00 + 0 + 40,000,000 + 5,000,000 + 200,000 + 30,000 + 4,000 + 900 + 20 + 5 1. Use the digits as starting answer. 2. Add as many zeroes needed to replace the following digits 3. Supply a series of zeroes in the next digits in decreasing manner (one by one) Expanded Form – 3 rd Method

18. Express 2 5, 8 3 5, 4 7 9 in expanded form. 2 5 8 3 5 4 7 9 0,000,000 + ,000,000 + 00,000 + 0,000 + ,000 + 00 + 0 + 20,000,000 + 5,000,000 + 800,000 + 30,000 + 5,000 + 400 + 70 + 9 1. Use the digits as starting answer. 2. Add as many zeroes needed to replace the following digits 3. Supply a series of zeroes in the next digits in decreasing manner (one by one) Expanded Form – 3 rd Method

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