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1001.95div48.9xx99-1298.99=?...

`1001.95div48.9xx99-1298.99=?`

A

700

B

600

C

900

D

250

Text Solution

AI Generated Solution

The correct Answer is:
To solve the equation \(1001.95 \div 48.9 \times 99 - 1298.99\) using approximation, we will follow these steps: ### Step 1: Round off the numbers - **1001.95** can be approximated to **1002** (since the decimal part is greater than 0.5). - **48.9** can be approximated to **49** (again, since the decimal part is greater than 0.5). - **99** can be approximated to **100** (since it is very close to 100). - **1298.99** can be approximated to **1300** (since the decimal part is greater than 0.5). ### Step 2: Rewrite the equation with approximated values Now, we can rewrite the equation using the approximated values: \[ 1002 \div 49 \times 100 - 1300 \] ### Step 3: Simplify the division Next, we perform the division: \[ 1002 \div 49 \approx 20.5 \quad \text{(but we can round this to 20 for easier calculation)} \] ### Step 4: Multiply the result by 100 Now we multiply the result by 100: \[ 20 \times 100 = 2000 \] ### Step 5: Subtract 1300 Finally, we subtract 1300 from the result: \[ 2000 - 1300 = 700 \] ### Final Answer Thus, the approximate value of the expression \(1001.95 \div 48.9 \times 99 - 1298.99\) is: \[ \boxed{700} \] ---

To solve the equation \(1001.95 \div 48.9 \times 99 - 1298.99\) using approximation, we will follow these steps: ### Step 1: Round off the numbers - **1001.95** can be approximated to **1002** (since the decimal part is greater than 0.5). - **48.9** can be approximated to **49** (again, since the decimal part is greater than 0.5). - **99** can be approximated to **100** (since it is very close to 100). - **1298.99** can be approximated to **1300** (since the decimal part is greater than 0.5). ...
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