Purpose 1-2 Add real numbers. Subtract real numbers.

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Presentation transcript:

Purpose 1-2 Add real numbers. Subtract real numbers.

–4 + (–7) –4+ (–7) = –11 Add or subtract using a number line. + (–7) Example 1 Add or subtract using a number line. –4 + (–7) Start at 0. Move left to –4. To add –7, move left 7 units. + (–7) –4 11 10 9 8 7 6 5 4 3 2 1 –4+ (–7) = –11

You Try! –3 + 7 –3 + 7 = 4 Add or subtract using a number line. Start at 0. Move left to –3. To add 7, move right 7 units. +7 –3 -3 -2 -1 1 2 3 4 5 6 7 8 9 –3 + 7 = 4

You Try! –3 – 7 –3 – 7 = –10 Add or subtract using a number line. 11 Start at 0. Move left to –3. To subtract 7 move left 7 units. –3 –7 11 10 9 8 7 6 5 4 3 2 1 –3 – 7 = –10

The absolute value of a number is the distance from zero on a number line. The absolute value of 5 is written as |5|. 5 units 5 units - 6 - 5 - 4 - 3 - 2 - 1 1 2 3 4 5 6 |–5| = 5 |5| = 5

Note: subtracting is the same as adding the opposite. When adding two #’s with the same sign: take absolute value Add Keep sign of the larger original number When adding two #’s with the different signs: take absolute value Subtract (find the difference) Keep sign of the larger original number Note: subtracting is the same as adding the opposite.

Add. y + (–2) = (–6) + (–2) (–6) + (–2) –8 Example 2 y + (–2) for y = –6 y + (–2) = (–6) + (–2) (–6) + (–2) –8

Example 3 5 – (–4) 5 − (–4) = 5 + 4 9 Subtract. To subtract –4 add 4. Find the sum of the absolute values.

You Try! Subtract. 13 – 21 13 – 21 = 13 + (–21) –8

elevation at top of iceberg Example 4: Oceanography Application An iceberg extends 75 feet above the sea. The bottom of the iceberg is at an elevation of –247 feet. What is the height of the iceberg? elevation at top of iceberg 75 elevation at bottom of iceberg –247 Minus – 75 – (–247) 75 – (–247) = 75 + 247 = 322 The height of the iceberg is 322 feet.

Exit Task Add or subtract using a number line. 2. –5 – (–3) –2 1. –2 + 9 7 Add or subtract. 3. –23 + 42 19 4. 4.5 – (–3.7) 8.2