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When you divide 3.3 by​ 300, how many decimal places will the quotient​ have? Use​ place-value reasoning to explain how you know.
The divisor is ___ times the dividend.​ So, the decimal point in the dividend will be moved enter your response here ​place(s) to the____ to divide. The quotient will have ____ decimal​ place(s).

Respuesta :

Meherpuya

Answer:

When you divide \(3.3\) by \(300\), the quotient will have \(2\) decimal places. Here's the reasoning:

1. **Place-Value Reasoning:** In the dividend \(3.3\), there is one digit after the decimal point. In the divisor \(300\), there are no decimal places. When you divide, you move the decimal point to the right in both the dividend and divisor until the divisor becomes a whole number. So, you move the decimal point two places to the right in both \(3.3\) and \(300\) to make them \(330\) and \(30000\), respectively.

2. **Division Process:** You are essentially dividing \(330\) by \(300\), and the result is \(1.1\). Since you moved the decimal point two places to the right initially, the quotient will have \(2\) decimal places.