Express each of the following numbers in standard form:
`(i) 6872" "(ii) 140000" "(iii) 15360000000`

Answer

To express the given numbers in standard form, we will follow these steps:

### Step 1: Express 6872 in Standard Form
1. Identify the first non-zero digit, which is 6.
2. Place the decimal point after the first digit: 6.872.
3. Count the number of places the decimal point has moved from the original number to the new position. Here, it moves 3 places to the left.
4. Therefore, we can express this as:
\[ 6.872 \times 10^3 \]

### Step 2: Express 140000 in Standard Form
1. Identify the first non-zero digit, which is 1.
2. Place the decimal point after the first digit: 1.4.
3. Count the number of zeros in 140000, which is 5. This means we need to move the decimal point 5 places to the left.
4. Therefore, we can express this as:
\[ 1.4 \times 10^5 \]

### Step 3: Express 15360000000 in Standard Form
1. Identify the first non-zero digit, which is 1.
2. Place the decimal point after the first digit: 1.536.
3. Count the number of zeros in 15360000000, which is 10. This means we need to move the decimal point 10 places to the left.
4. Therefore, we can express this as:
\[ 1.536 \times 10^{10} \]

### Final Answers:
1. \( 6872 = 6.872 \times 10^3 \)
2. \( 140000 = 1.4 \times 10^5 \)
3. \( 15360000000 = 1.536 \times 10^{10} \)

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