Question

number is from 0. the absolute value of 3 is
e same distance from 0 on the number line
the opposite of -11 is 11.

number	opposite	absolute value
-67
-35
3 ½
-8 ½
2.9
-0.8
2.63
-1.72
3 ¾
-5 ¼
0.07
-0.32
0.47
2.8
-9.6

Explanation:

To solve for the opposite and absolute value of each number, we use the following rules:

• Opposite of a number: The opposite of a number \( a \) is \( -a \) (and vice versa). For example, the opposite of \( 42 \) is \( -42 \), and the opposite of \( -67 \) is \( 67 \).
• Absolute value of a number: The absolute value of a number \( a \), denoted \( |a| \), is its distance from \( 0 \) on the number line. For a positive number \( a \), \( |a| = a \); for a negative number \( -a \) (where \( a > 0 \)), \( |-a| = a \); and \( |0| = 0 \).

For each number:

Number	Opposite	Absolute Value
\( -67 \)	\( 67 \)	\( 67 \)
\( -35 \)	\( 35 \)	\( 35 \)
\( 3\frac{1}{2} \)	\( -3\frac{1}{2} \)	\( 3\frac{1}{2} \)
\( -8\frac{1}{2} \)	\( 8\frac{1}{2} \)	\( 8\frac{1}{2} \)
\( 2.9 \)	\( -2.9 \)	\( 2.9 \)
\( -0.8 \)	\( 0.8 \)	\( 0.8 \)
\( 2.63 \)	\( -2.63 \)	\( 2.63 \)
\( -1.72 \)	\( 1.72 \)	\( 1.72 \)
\( 3\frac{3}{4} \)	\( -3\frac{3}{4} \)	\( 3\frac{3}{4} \)
\( -5\frac{1}{4} \)	\( 5\frac{1}{4} \)	\( 5\frac{1}{4} \)
\( 0.07 \)	\( -0.07 \)	\( 0.07 \)
\( -0.32 \)	\( 0.32 \)	\( 0.32 \)
\( 0.47 \)	\( -0.47 \)	\( 0.47 \)
\( 2.8 \)	\( -2.8 \)	\( 2.8 \)
\( -9.6 \)	\( 9.6 \)	\( 9.6 \)

of Key Calculations:

• Opposite: Multiply the number by \( -1 \). For example, \( \text{opposite of } 42 = 42 \times (-1) = -42 \), and \( \text{opposite of } -67 = -67 \times (-1) = 67 \).
• Absolute Value: If the number is positive, its absolute value is itself. If negative, remove the negative sign. For example, \( |-67| = 67 \) (since distance from \( 0 \) is \( 67 \)) and \( |42| = 42 \).

This table summarizes the opposite and absolute value for each given number.

Answer:

of Key Calculations:

• Opposite: Multiply the number by \( -1 \). For example, \( \text{opposite of } 42 = 42 \times (-1) = -42 \), and \( \text{opposite of } -67 = -67 \times (-1) = 67 \).
• Absolute Value: If the number is positive, its absolute value is itself. If negative, remove the negative sign. For example, \( |-67| = 67 \) (since distance from \( 0 \) is \( 67 \)) and \( |42| = 42 \).

This table summarizes the opposite and absolute value for each given number.