Questions: Jamal wants to know why 0.3 and 0.30 are equal. How do you respond? Choose the correct answer below. A. The values 0.3 and 0.30 are equal because adding a trailing 0 does not change the value of the number. B. The values 0.3 and 0.30 are not equal because they have a different number of digits. C. The values 0.3 and 0.30 are equal because they have the same digit in the tenths place. It doesn't matter what digit is in the hundredths place. D. The values 0.3 and 0.30 are equal because adding a trailing 0 changes the value of a number.

Jamal wants to know why 0.3 and 0.30 are equal. How do you respond? Choose the correct answer below. A. The values 0.3 and 0.30 are equal because adding a trailing 0 does not change the value of the number. B. The values 0.3 and 0.30 are not equal because they have a different number of digits. C. The values 0.3 and 0.30 are equal because they have the same digit in the tenths place. It doesn't matter what digit is in the hundredths place. D. The values 0.3 and 0.30 are equal because adding a trailing 0 changes the value of a number.
Transcript text: Jamal wants to know why 0.3 and 0.30 are equal. How do you respond? Choose the correct answer below. A. The values 0.3 and 0.30 are equal because adding a trailing 0 does not change the value of the number. B. The values 0.3 and 0.30 are not equal because they have a different number of digits. C. The values 0.3 and 0.30 are equal because they have the same digit in the tenths place. It doesn't matter what digit is in the hundredths place. D. The values 0.3 and 0.30 are equal because adding a trailing 0 changes the value of a number.
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Solution

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Solution Steps

To determine why 0.3 and 0.30 are equal, we need to understand the concept of decimal representation. In decimal numbers, trailing zeros do not affect the value of the number. Therefore, 0.3 and 0.30 represent the same quantity.

Step 1: Understanding Decimal Representation

In decimal numbers, trailing zeros do not affect the value of the number. This is because the position of the decimal point determines the value of each digit, and trailing zeros simply extend the number without changing its value.

Step 2: Comparing 0.3 and 0.30

The numbers \(0.3\) and \(0.30\) have the same value because the trailing zero in \(0.30\) does not change the value of the number. Both numbers represent the fraction \(\frac{3}{10}\).

Final Answer

The values \(0.3\) and \(0.30\) are equal because adding a trailing 0 does not change the value of the number. Therefore, the correct answer is \(\boxed{\text{A}}\).

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