Question

1.5 module 1 post-test
possible points: 5
solve each expression using the order of operations, then order the results from least to greatest.
\\(7 + 3 \times 2\\)
\\(18 \div 3 + 4\\)
\\(2^3 + 1\\)

Explanation:

Evaluate the first expression

Using the Order of Operations knowledge point

$$ 7 + 3 \times 2 = 7 + 6 = 13 $$

Evaluate the second expression

Using the Order of Operations knowledge point

$$ 18 \div 3 + 4 = 6 + 4 = 10 $$

Evaluate the third expression

Using the Order of Operations knowledge point

$$ 2^3 + 1 = 8 + 1 = 9 $$

Order the results from least to greatest

Comparing the calculated values:

$$ 9 < 10 < 13 $$

This corresponds to the following order of the original expressions:

1. \(2^3 + 1\) (value: 9)
2. \(18 \div 3 + 4\) (value: 10)
3. \(7 + 3 \times 2\) (value: 13)

Answer:

The evaluated results of the expressions are:

• \(2^3 + 1 = 9\)
• \(18 \div 3 + 4 = 10\)
• \(7 + 3 \times 2 = 13\)

Ordered from least to greatest:

1. \(2^3 + 1\)
2. \(18 \div 3 + 4\)
3. \(7 + 3 \times 2\)