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Math  /  Numbers & Operations

Question12 What is the value of each number? 7 −7-7 14 −14-14 ∣7∣=|7|= □\square ∣−14∣=|-14|= □\square ∣14∣=|14|= □\square □\square

Studdy Solution

STEP 1

1. The given problem involves finding the absolute value (or modulus) of several numbers.
2. The absolute value of a real number xx, denoted ∣x∣|x|, is defined as: $ |x| = \begin{cases} x & \text{if } x \geq 0 \\ -x & \text{if } x < 0 \end{cases} \]

STEP 2

1. Determine the absolute value of 77.
2. Determine the absolute value of −7-7.
3. Determine the absolute value of 1414.
4. Determine the absolute value of −14-14.

STEP 3

Evaluate the absolute value of 77. ∣7∣=7(since 7 is positive)|7| = 7 \quad \text{(since $7$ is positive)}

STEP 4

Evaluate the absolute value of −7-7. ∣−7∣=−(−7)=7(since −7 is negative)|-7| = -(-7) = 7 \quad \text{(since $-7$ is negative)}

STEP 5

Evaluate the absolute value of 1414. ∣14∣=14(since 14 is positive)|14| = 14 \quad \text{(since $14$ is positive)}

STEP 6

Evaluate the absolute value of −14-14. ∣−14∣=−(−14)=14(since −14 is negative)|-14| = -(-14) = 14 \quad \text{(since $-14$ is negative)}
The solutions are: ∣7∣=7|7| = 7 ∣−7∣=7|-7| = 7 ∣14∣=14|14| = 14 ∣−14∣=14|-14| = 14

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