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If 50017 = 17 ones + 48 thousand + tens...

If 50017 = 17 ones + 48 thousand + _____ tens, then the number in blank space is,

A

2000

B

150

C

200

D

20000

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \( 50017 = 17 \text{ ones} + 48 \text{ thousand} + \_\_\_\_ \text{ tens} \), we need to find the value that fills in the blank space. ### Step-by-Step Solution: 1. **Understand the Components**: - The number \( 50017 \) can be broken down into its place values: - \( 50,000 \) (which is \( 48,000 + 2,000 \)) - \( 0 \) hundreds - \( 1 \) ten - \( 7 \) ones 2. **Rewrite the Equation**: - We can rewrite the equation as: \[ 50017 = 17 \cdot 1 + 48,000 + x \cdot 10 \] - Here, \( x \) represents the number of tens we need to find. 3. **Calculate the Contribution of Ones and Thousands**: - Calculate the contribution of \( 17 \) ones: \[ 17 \cdot 1 = 17 \] - The contribution of \( 48 \) thousand is: \[ 48,000 \] 4. **Combine the Known Values**: - Now, we can combine these values: \[ 50017 = 17 + 48,000 + x \cdot 10 \] - This simplifies to: \[ 50017 = 48,017 + x \cdot 10 \] 5. **Isolate the Tens**: - To find \( x \), we can isolate it by subtracting \( 48,017 \) from both sides: \[ 50017 - 48017 = x \cdot 10 \] - This simplifies to: \[ 2000 = x \cdot 10 \] 6. **Solve for \( x \)**: - Now, divide both sides by \( 10 \): \[ x = \frac{2000}{10} = 200 \] Thus, the number in the blank space is **200**.
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