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Answer :
To find the quotient of [tex]\(38.4 \div 1,000\)[/tex], we can use mental math by understanding how division by powers of 10 works. Here's a step-by-step explanation:
1. Understanding Division by 1,000: Dividing a number by 1,000 involves moving the decimal point three places to the left. This is because 1,000 has three zeros.
2. Applying This to 38.4: Start with the number 38.4. The decimal point is currently between 8 and 4.
3. Moving the Decimal Point:
- Move the decimal point one place to the left: 3.84
- Move it a second place to the left: 0.384
- Move it a third place to the left: 0.0384
4. Result: So, when you divide 38.4 by 1,000, the quotient is 0.0384.
Therefore, the answer is [tex]\(\boxed{0.0384}\)[/tex].
1. Understanding Division by 1,000: Dividing a number by 1,000 involves moving the decimal point three places to the left. This is because 1,000 has three zeros.
2. Applying This to 38.4: Start with the number 38.4. The decimal point is currently between 8 and 4.
3. Moving the Decimal Point:
- Move the decimal point one place to the left: 3.84
- Move it a second place to the left: 0.384
- Move it a third place to the left: 0.0384
4. Result: So, when you divide 38.4 by 1,000, the quotient is 0.0384.
Therefore, the answer is [tex]\(\boxed{0.0384}\)[/tex].
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