Find the difference between 7234042 rounded to the nearest thousands and 42568 rounded to the nearest hundreds.

Options

A. 7191400
B. 7191470
C. 7192000
D. 7191000

Answer

To find the difference between 7234042 rounded to the nearest thousand and 42568 rounded to the nearest hundred, we will follow these steps:

### Step 1: Round 7234042 to the nearest thousand
- Identify the thousands place: In the number 7234042, the thousands place is '3' (the digit before the last three zeros).
- Look at the digit to the right of the thousands place, which is '4'.
- Since '4' is less than 5, we do not increase the thousands place. Therefore, we keep it as '3' and change all digits to the right to '0'.
- Thus, 7234042 rounded to the nearest thousand is **7234000**.

### Step 2: Round 42568 to the nearest hundred
- Identify the hundreds place: In the number 42568, the hundreds place is '5'.
- Look at the digit to the right of the hundreds place, which is '6'.
- Since '6' is greater than 5, we increase the hundreds place by 1. Therefore, '5' becomes '6' and all digits to the right become '0'.
- Thus, 42568 rounded to the nearest hundred is **42600**.

### Step 3: Find the difference between the two rounded numbers
- We now need to calculate the difference:
\[ 7234000 - 42600 \]
- Performing the subtraction:
\[ 7234000 - 42600 = 7191400 \]

### Final Answer
The difference between 7234042 rounded to the nearest thousand and 42568 rounded to the nearest hundred is **7191400**.

---