`1559.999+24.001 + 11.005 xx 6.999 = ?`

Options

A. a. 1370
B. b. 1660
C. d. 1520
D. d. 1820

Answer

To solve the expression \( 1559.999 + 24.001 + 11.005 \times 6.999 \) using approximation, we can follow these steps:

### Step 1: Round the numbers
We will round each number to a simpler form:
- \( 1559.999 \) can be approximated to \( 1560 \)
- \( 24.001 \) can be approximated to \( 24 \)
- \( 11.005 \) can be approximated to \( 11 \)
- \( 6.999 \) can be approximated to \( 7 \)

### Step 2: Rewrite the expression
Now we can rewrite the expression using the approximated values:
\[ 1560 + 24 + 11 \times 7 \]

### Step 3: Calculate the multiplication
Next, we calculate \( 11 \times 7 \):
\[ 11 \times 7 = 77 \]

### Step 4: Add the values together
Now we can add all the approximated values:
\[ 1560 + 24 + 77 \]

### Step 5: Perform the addition
Let's add them step by step:
1. First, add \( 1560 + 24 \):
\[ 1560 + 24 = 1584 \]
2. Now, add \( 1584 + 77 \):
\[ 1584 + 77 = 1661 \]

### Step 6: Round the final result
Since we are looking for an approximate answer, we can round \( 1661 \) to the nearest hundred:
\[ 1661 \approx 1660 \]

### Final Answer
Thus, the approximate result of the expression \( 1559.999 + 24.001 + 11.005 \times 6.999 \) is:
\[ \boxed{1660} \]