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Write the numbers whose expanded forms a...

Write the numbers whose expanded forms are given below:
a. `2xx10,00,000+3xx1,00,000+5xx10,000+7xx10`
b. `4xx1,00,00,000+5xx1,00,000+6xx10,000+5`
c. `7xx10,00,00,000+5xx1,00,00,000+1xx10,000+2xx1,000+9`

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The correct Answer is:
To find the numbers from their expanded forms, we will evaluate each part step by step. ### Part a: **Expanded Form:** `2 x 10,00,000 + 3 x 1,00,000 + 5 x 10,000 + 7 x 10` 1. **Calculate each term:** - \(2 \times 10,00,000 = 20,00,000\) (20 lakhs) - \(3 \times 1,00,000 = 3,00,000\) (3 lakhs) - \(5 \times 10,000 = 50,000\) (50 thousand) - \(7 \times 10 = 70\) (70) 2. **Add the calculated values together:** - \(20,00,000 + 3,00,000 + 50,000 + 70\) 3. **Perform the addition:** - \(20,00,000 + 3,00,000 = 23,00,000\) - \(23,00,000 + 50,000 = 23,50,000\) - \(23,50,000 + 70 = 23,50,070\) **Final Number:** 23,50,070 ### Part b: **Expanded Form:** `4 x 1,00,00,000 + 5 x 1,00,000 + 6 x 10,000 + 5` 1. **Calculate each term:** - \(4 \times 1,00,00,000 = 4,00,00,000\) (4 crores) - \(5 \times 1,00,000 = 5,00,000\) (5 lakhs) - \(6 \times 10,000 = 60,000\) (60 thousand) - \(5 = 5\) 2. **Add the calculated values together:** - \(4,00,00,000 + 5,00,000 + 60,000 + 5\) 3. **Perform the addition:** - \(4,00,00,000 + 5,00,000 = 4,05,00,000\) - \(4,05,00,000 + 60,000 = 4,05,60,000\) - \(4,05,60,000 + 5 = 4,05,60,005\) **Final Number:** 4,05,60,005 ### Part c: **Expanded Form:** `7 x 10,00,00,000 + 5 x 1,00,00,000 + 1 x 10,000 + 2 x 1,000 + 9` 1. **Calculate each term:** - \(7 \times 10,00,00,000 = 70,00,00,000\) (70 crores) - \(5 \times 1,00,00,000 = 5,00,00,000\) (5 crores) - \(1 \times 10,000 = 10,000\) (10 thousand) - \(2 \times 1,000 = 2,000\) (2 thousand) - \(9 = 9\) 2. **Add the calculated values together:** - \(70,00,00,000 + 5,00,00,000 + 10,000 + 2,000 + 9\) 3. **Perform the addition:** - \(70,00,00,000 + 5,00,00,000 = 75,00,00,000\) - \(75,00,00,000 + 10,000 = 75,00,10,000\) - \(75,00,10,000 + 2,000 = 75,00,12,000\) - \(75,00,12,000 + 9 = 75,00,12,009\) **Final Number:** 75,00,12,009 ### Summary of Final Answers: - a. 23,50,070 - b. 4,05,60,005 - c. 75,00,12,009
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