Example 2 Finding Absolute Value An eyeglass prescription is given as a positive or negative number. A prescription for a person who is farsighted is positive. A prescription for a person who is nearsighted is negative. The greater the absolute value, the stronger the prescription. Which prescription is stronger, 3 or 2 ? EYEGLASSES –
Example 2 Finding Absolute Value The distance between 2 and 0 is 2. So, 2.2. = 2 The distance between 3 and 0 is 3. So, 3.3. – = 3 – STEP 1 Find the absolute value of 3 using a number line. SOLUTION – STEP 2 Find the absolute value of 2 using a number line.
Example 2 Finding Absolute Value ANSWER The prescription of 3 is stronger because 3 > 2. –
Guided Practice for Example 2 ANSWER 5 3 Identify the graphed number with the greater absolute value
Guided Practice for Example 2 Find the absolute value of the integer using a number line – ANSWER – ANSWER
Guided Practice for Example 2 Find the absolute value of the integer using a number line. ANSWER ANSWER – –
Guided Practice for Example 2 17.WHAT IF? In Example 2, suppose you are comparing prescriptions of 4 and 5. Which of these prescriptions is stronger? – ANSWER 5 –