Questions: 计算: 223 × 7.5+22.3 × 12.5+230 ÷ 4-0.7 × 2.5+1=

Transcript text: 计算: $223 \times 7.5+22.3 \times 12.5+230 \div 4-0.7 \times 2.5+1=$

Solution

Solution Steps

To solve the given mathematical expression, we need to follow the order of operations (PEMDAS/BODMAS). This means we first handle any parentheses or brackets, then exponents or orders, followed by multiplication and division (from left to right), and finally addition and subtraction (from left to right).

Step 1: Calculate $223 \times 7.5$

First, we calculate the product of $223$ and $7.5$: \[ 223 \times 7.5 = 1672.5 \]

Step 2: Calculate $22.3 \times 12.5$

Next, we calculate the product of $22.3$ and $12.5$: \[ 22.3 \times 12.5 = 278.75 \]

Step 3: Calculate $230 \div 4$

Then, we calculate the division of $230$ by $4$: \[ 230 \div 4 = 57.5 \]

Step 4: Calculate $0.7 \times 2.5$

Next, we calculate the product of $0.7$ and $2.5$: \[ 0.7 \times 2.5 = 1.75 \]

Step 5: Sum all the results and add 1

Finally, we sum all the results from the previous steps and add $1$: \[ 1672.5 + 278.75 + 57.5 - 1.75 + 1 = 2008.0 \]