QuestionInsert $<,>$ , or $=$ to make this true:
$\frac{1}{8} \cdot \frac{1}{8} \square \frac{1}{8} \div \frac{1}{8}$

Studdy Solution

STEP 1

Assumptions1. We are comparing two expressions $\frac{1}{8} \cdot \frac{1}{8}$ and $\frac{1}{8} \div \frac{1}{8}$ . . We are to determine whether the first expression is less than, greater than, or equal to the second expression.

STEP 2

First, we need to calculate the value of the first expression, $\frac{1}{8} \cdot \frac{1}{8}$ .

STEP 3

Calculate the value of the first expression.
$\frac{1}{8} \cdot \frac{1}{8} = \frac{1}{64}$

STEP 4

Next, we need to calculate the value of the second expression, $\frac{1}{8} \div \frac{1}{8}$ .

STEP 5

Calculate the value of the second expression.
$\frac{1}{8} \div \frac{1}{8} =1$

STEP 6

Now that we have the values of both expressions, we can compare them to determine which symbol ( $<,>$ , or $=$ ) makes the statement true.

STEP 7

Compare the values of the two expressions.
$\frac{1}{64} \square1$

STEP 8

etermine which symbol makes the statement true.
$\frac{1}{64} <1$ So, the symbol that makes the statement true is $<$ .
The solution is $\frac{1}{8} \cdot \frac{1}{8} < \frac{1}{8} \div \frac{1}{8}$

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QuestionInsert $<,>$ , or $=$ to make this true:
$\frac{1}{8} \cdot \frac{1}{8} \square \frac{1}{8} \div \frac{1}{8}$

Studdy Solution

STEP 1

Assumptions1. We are comparing two expressions $\frac{1}{8} \cdot \frac{1}{8}$ and $\frac{1}{8} \div \frac{1}{8}$ . . We are to determine whether the first expression is less than, greater than, or equal to the second expression.

STEP 2

First, we need to calculate the value of the first expression, $\frac{1}{8} \cdot \frac{1}{8}$ .

STEP 3

Calculate the value of the first expression.
$\frac{1}{8} \cdot \frac{1}{8} = \frac{1}{64}$

STEP 4

Next, we need to calculate the value of the second expression, $\frac{1}{8} \div \frac{1}{8}$ .

STEP 5

Calculate the value of the second expression.
$\frac{1}{8} \div \frac{1}{8} =1$

STEP 6

Now that we have the values of both expressions, we can compare them to determine which symbol ( $<,>$ , or $=$ ) makes the statement true.

STEP 7

Compare the values of the two expressions.
$\frac{1}{64} \square1$

STEP 8

etermine which symbol makes the statement true.
$\frac{1}{64} <1$ So, the symbol that makes the statement true is $<$ .
The solution is $\frac{1}{8} \cdot \frac{1}{8} < \frac{1}{8} \div \frac{1}{8}$

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QuestionInsert <,><,><,>, or === to make this true: 18⋅18□18÷18 \frac{1}{8} \cdot \frac{1}{8} \square \frac{1}{8} \div \frac{1}{8} 81​⋅81​□81​÷81​

Studdy Solution

STEP 1

Assumptions1. We are comparing two expressions 18⋅18\frac{1}{8} \cdot \frac{1}{8}81​⋅81​ and 18÷18\frac{1}{8} \div \frac{1}{8}81​÷81​. . We are to determine whether the first expression is less than, greater than, or equal to the second expression.

STEP 2

First, we need to calculate the value of the first expression, 18⋅18\frac{1}{8} \cdot \frac{1}{8}81​⋅81​.

STEP 3

Calculate the value of the first expression.18⋅18=164\frac{1}{8} \cdot \frac{1}{8} = \frac{1}{64}81​⋅81​=641​

STEP 4

Next, we need to calculate the value of the second expression, 18÷18\frac{1}{8} \div \frac{1}{8}81​÷81​.

STEP 5

Calculate the value of the second expression.18÷18=1\frac{1}{8} \div \frac{1}{8} =181​÷81​=1

STEP 6

Now that we have the values of both expressions, we can compare them to determine which symbol (<,><,><,>, or ===) makes the statement true.

STEP 7

Compare the values of the two expressions.164□1\frac{1}{64} \square1641​□1

STEP 8

etermine which symbol makes the statement true.164<1\frac{1}{64} <1641​<1So, the symbol that makes the statement true is <<<.The solution is18⋅18<18÷18\frac{1}{8} \cdot \frac{1}{8} < \frac{1}{8} \div \frac{1}{8} 81​⋅81​<81​÷81​

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QuestionInsert $<,>$ , or $=$ to make this true:
$\frac{1}{8} \cdot \frac{1}{8} \square \frac{1}{8} \div \frac{1}{8}$

Assumptions1. We are comparing two expressions $\frac{1}{8} \cdot \frac{1}{8}$ and $\frac{1}{8} \div \frac{1}{8}$ . . We are to determine whether the first expression is less than, greater than, or equal to the second expression.

First, we need to calculate the value of the first expression, $\frac{1}{8} \cdot \frac{1}{8}$ .

Calculate the value of the first expression.
$\frac{1}{8} \cdot \frac{1}{8} = \frac{1}{64}$

Next, we need to calculate the value of the second expression, $\frac{1}{8} \div \frac{1}{8}$ .

Calculate the value of the second expression.
$\frac{1}{8} \div \frac{1}{8} =1$

Now that we have the values of both expressions, we can compare them to determine which symbol ( $<,>$ , or $=$ ) makes the statement true.

Compare the values of the two expressions.
$\frac{1}{64} \square1$

etermine which symbol makes the statement true.
$\frac{1}{64} <1$ So, the symbol that makes the statement true is $<$ .
The solution is $\frac{1}{8} \cdot \frac{1}{8} < \frac{1}{8} \div \frac{1}{8}$