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If 40038 = 38 ones + 38 thousand +.........

If 40038 = 38 ones + 38 thousand +......... tens. Then, the number in the blank space is

A

380

B

38

C

138

D

200

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AI Generated Solution

The correct Answer is:
To solve the problem, we need to express the number 40038 in terms of its place values and find the missing value that corresponds to the tens place. ### Step-by-Step Solution: 1. **Understanding the Number**: The number 40038 can be broken down into its place values: - 40000 (which is 40 thousands) - 0000 (which is 0 hundreds) - 030 (which is 3 tens) - 8 (which is 8 ones) 2. **Writing the Equation**: According to the question, we can express 40038 as: \[ 40038 = 38 \text{ ones} + 38000 + \text{(some value for tens)} \] We can denote the unknown value for the tens place as \(x\). 3. **Setting Up the Equation**: We can write the equation as: \[ 40038 = 38 \times 1 + 38000 + x \times 10 \] This simplifies to: \[ 40038 = 38 + 38000 + 10x \] 4. **Combining Like Terms**: Now, we combine the known values: \[ 40038 = 38038 + 10x \] 5. **Isolating the Variable**: To find \(10x\), we subtract 38038 from both sides: \[ 10x = 40038 - 38038 \] \[ 10x = 2000 \] 6. **Solving for \(x\)**: Now, we divide both sides by 10 to solve for \(x\): \[ x = \frac{2000}{10} = 200 \] 7. **Conclusion**: The value in the blank space that corresponds to the tens place is 200. ### Final Answer: The number in the blank space is **200**.
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