Questions: 9) Will -3/7 increase or decrease if multiplied by 1? 10) Will 2/7 increase or decrease if multiplied by 1?

9) Will -3/7 increase or decrease if multiplied by 1? 10) Will 2/7 increase or decrease if multiplied by 1?
Transcript text: 9) Will $-\frac{3}{7}$ increase or decrease if multiplied by 1 ? 10) Will $\frac{2}{7}$ increase or decrease if multiplied by 1 ?
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Solution

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Solution Steps

To determine if a number increases or decreases when multiplied by 1, we need to understand that multiplying any number by 1 leaves the number unchanged. Therefore, the value of the number remains the same.

Step 1: Understanding the Effect of Multiplication by 1

When a number is multiplied by 1, the result is the number itself. This is because 1 is the multiplicative identity. Therefore, multiplying any number by 1 does not change its value.

Step 2: Applying the Concept to the Given Numbers

For the number \(-\frac{3}{7}\), multiplying by 1 gives: \[ -\frac{3}{7} \times 1 = -\frac{3}{7} \approx -0.4286 \] Similarly, for the number \(\frac{2}{7}\), multiplying by 1 gives: \[ \frac{2}{7} \times 1 = \frac{2}{7} \approx 0.2857 \]

Step 3: Analyzing the Results

Since both numbers remain the same after multiplication, neither number increases nor decreases. They remain unchanged.

Final Answer

\(\boxed{\text{Neither number increases nor decreases. They remain unchanged.}}\)

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