Math / Numbers & Operations

QuestionBrain says $\frac{1}{7}$ is close to 0 . So, $\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$ must be close to 0 . Do you agree? Explain.

Studdy Solution

STEP 1

1. We are given the fraction $\frac{1}{7}$ .
2. We need to evaluate the sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ .
3. We need to determine if the sum is close to 0.

STEP 2

1. Evaluate the value of $\frac{1}{7}$ .
2. Calculate the sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ .
3. Compare the result to 0 and provide an explanation.

STEP 3

Evaluate the decimal value of $\frac{1}{7}$ .
The decimal approximation of $\frac{1}{7}$ is approximately $0.142857$ .

STEP 4

Calculate the sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ .
$\frac{1}{7} + \frac{1}{7} + \frac{1}{7} = \frac{3}{7}$

STEP 5

Evaluate $\frac{3}{7}$ and compare it to 0.
The decimal approximation of $\frac{3}{7}$ is approximately $0.428571$ .
Since $0.428571$ is not close to 0, Brain's statement is incorrect.
The sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ is not close to 0. It is approximately $0.428571$ .

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QuestionBrain says $\frac{1}{7}$ is close to 0 . So, $\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$ must be close to 0 . Do you agree? Explain.

Studdy Solution

STEP 1

1. We are given the fraction $\frac{1}{7}$ .
2. We need to evaluate the sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ .
3. We need to determine if the sum is close to 0.

STEP 2

1. Evaluate the value of $\frac{1}{7}$ .
2. Calculate the sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ .
3. Compare the result to 0 and provide an explanation.

STEP 3

Evaluate the decimal value of $\frac{1}{7}$ .
The decimal approximation of $\frac{1}{7}$ is approximately $0.142857$ .

STEP 4

Calculate the sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ .
$\frac{1}{7} + \frac{1}{7} + \frac{1}{7} = \frac{3}{7}$

STEP 5

Evaluate $\frac{3}{7}$ and compare it to 0.
The decimal approximation of $\frac{3}{7}$ is approximately $0.428571$ .
Since $0.428571$ is not close to 0, Brain's statement is incorrect.
The sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ is not close to 0. It is approximately $0.428571$ .

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QuestionBrain says 17\frac{1}{7}71​ is close to 0 . So, 17+17+17\frac{1}{7}+\frac{1}{7}+\frac{1}{7}71​+71​+71​ must be close to 0 . Do you agree? Explain.

Studdy Solution

STEP 1

1. We are given the fraction 17\frac{1}{7}71​.2. We need to evaluate the sum 17+17+17\frac{1}{7} + \frac{1}{7} + \frac{1}{7}71​+71​+71​.3. We need to determine if the sum is close to 0.

STEP 2

1. Evaluate the value of 17\frac{1}{7}71​.2. Calculate the sum 17+17+17\frac{1}{7} + \frac{1}{7} + \frac{1}{7}71​+71​+71​.3. Compare the result to 0 and provide an explanation.

STEP 3

Evaluate the decimal value of 17\frac{1}{7}71​.The decimal approximation of 17\frac{1}{7}71​ is approximately 0.1428570.1428570.142857.

STEP 4

Calculate the sum 17+17+17\frac{1}{7} + \frac{1}{7} + \frac{1}{7}71​+71​+71​.17+17+17=37\frac{1}{7} + \frac{1}{7} + \frac{1}{7} = \frac{3}{7}71​+71​+71​=73​

STEP 5

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QuestionBrain says $\frac{1}{7}$ is close to 0 . So, $\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$ must be close to 0 . Do you agree? Explain.

1. We are given the fraction $\frac{1}{7}$ .
2. We need to evaluate the sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ .
3. We need to determine if the sum is close to 0.

1. Evaluate the value of $\frac{1}{7}$ .
2. Calculate the sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ .
3. Compare the result to 0 and provide an explanation.

Evaluate the decimal value of $\frac{1}{7}$ .
The decimal approximation of $\frac{1}{7}$ is approximately $0.142857$ .

Calculate the sum $\frac{1}{7} + \frac{1}{7} + \frac{1}{7}$ .
$\frac{1}{7} + \frac{1}{7} + \frac{1}{7} = \frac{3}{7}$