How 70,040,000,000 can be written in standard form?

Options

A. `700.4xx10^(10)`
B. `700.4xx10^7`
C. `7.004xx10^(10)`
D. `0.70040xx10^(11)`

Answer

To write the number 70,040,000,000 in standard form, we follow these steps:

### Step 1: Identify the significant digits
The significant digits in the number 70,040,000,000 are 7, 0, 0, 4.

### Step 2: Write the number in decimal form
We need to express this number in a way that has a single non-zero digit to the left of the decimal point. This means we will write it as 7.004.

### Step 3: Count the number of places the decimal point moves
The original number is 70,040,000,000. The decimal point is initially at the end of the number (after the last zero). To convert it into standard form (7.004), we move the decimal point 10 places to the left.

### Step 4: Write the number in standard form
Now we can express the number in standard form as:
\[ 7.004 \times 10^{10} \]

### Final Answer
So, the number 70,040,000,000 in standard form is:
\[ 7.004 \times 10^{10} \]

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