The equivalent decimal of
`7+4/10+9/100+8/1000` is :

Options

A. 7.21
B. 7.498
C. 2.8
D. 0.7498

Answer

To find the equivalent decimal of the expression \( 7 + \frac{4}{10} + \frac{9}{100} + \frac{8}{1000} \), we can follow these steps:

### Step 1: Convert each fraction to decimal form
- For \( \frac{4}{10} \):
\[ \frac{4}{10} = 0.4 \]

- For \( \frac{9}{100} \):
\[ \frac{9}{100} = 0.09 \]

- For \( \frac{8}{1000} \):
\[ \frac{8}{1000} = 0.008 \]

### Step 2: Add the decimal values together
Now we can add all the decimal values to the whole number:
\[ 7 + 0.4 + 0.09 + 0.008 \]

### Step 3: Align the decimals for addition
To make addition easier, we can align the numbers:
```
7.000
+ 0.400
+ 0.090
+ 0.008
```

### Step 4: Perform the addition
Now, we can add the numbers column by column:
- In the thousandths place: \( 0 + 0 + 8 = 8 \)
- In the hundredths place: \( 0 + 4 + 9 = 13 \) (write down 3 and carry over 1)
- In the tenths place: \( 0 + 0 + 0 + 1 = 1 \) (from the carry over)
- In the units place: \( 7 + 1 = 8 \)

So, the sum is:
\[ 7.498 \]

### Final Answer
The equivalent decimal of \( 7 + \frac{4}{10} + \frac{9}{100} + \frac{8}{1000} \) is \( 7.498 \).

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