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Objective Subtract integers Example 5-6b

Review Vocabulary Range The difference between the greatest number and the least number in a set of data Example 5-6b

1. Separate numbers with sign in front of number Subtract Integers 1. Separate numbers with sign in front of number 4 - 7 4 - 7 Place a positive sign between them, then follow the addition rules 4 - 7 + Follow addition rules Example 5-6b

2. Combine 2 negative signs and make a positive Subtract Integers 2. Combine 2 negative signs and make a positive 4 - (- 7) 4 + 7 Follow addition rules Example 5-6b

Example 1 Subtract Positive Integers Example 3 Subtract Negative Integers Example 4 Subtract Negative Integers Example 5 Evaluate an Expression Example 6 Use Integers to Solve a Problem Lesson 5 Contents

Separate numbers with sign in front of number 2 - 15 Write problem Find Separate numbers with sign in front of number 2 - 15 Place a positive sign between them, then follow the addition rules 2 - 15 + different Draw arrows to the signs Determine if the signs are the same or different 1/6 Example 5-1a

Different signs, subtract the numbers without the signs 15 - 2 (Remember: big number - small number) Find 2 - 15 2 - 15 + different Keep sign of largest number 15 - 2 - 13 Answer: –13 1/6 Example 5-1a

Find Answer: –8 1/6 Example 5-1b

Separate numbers with sign in front of number Find Write problem -13 - 8 Separate numbers with sign in front of number -13 - 8 + Place a positive sign between them, then follow the addition rules same Draw arrows to the signs Determine if the signs are the same or different 2/6 Example 5-2a

Same sign, add the numbers without the signs 13 + 8 Find -13 - 8 Keep the sign -13 - 8 + same 13 + 8 - 21 Answer: –21 2/6 Example 5-2a

Find Answer: –20 2/6 Example 5-2b

Combine the negative signs and make a positive sign Write problem Find Combine the negative signs and make a positive sign 12 – (-6) Draw arrows to the signs 12 + 6 Determine if the signs are the same or different Same Same sign, add the numbers without the signs 12 + 6 12 + 6 18 Keep the sign Answer: 18 3/6 Example 5-3a

Find Answer: 13 3/6 Example 5-3b

Combine the negative signs and make a positive sign Write problem Find Combine the negative signs and make a positive sign 21 – (-8) Draw arrows to the signs 21 + 8 Determine if the signs are the same or different Same 21 + 8 Same sign, add the numbers without the signs 21 + 8 29 Keep the sign Answer: 29 4/6 Example 5-4a

Find Answer: 23 4/6 Example 5-4b

Combine the negative signs and make a positive sign ALGEBRA Evaluate Write problem g - h Replace g with - 2 Bring down - -2 - -2 - (-7) -2 Replace h with - 7 - 2 + 7 Combine the negative signs and make a positive sign different Draw arrows to the signs Determine if the signs are the same or different 5/6 Example 5-5a

Different signs, subtract the numbers without the signs 7 - 2 ALGEBRA Evaluate Different signs, subtract the numbers without the signs 7 - 2 (Remember: big number - small number) g - h -2 - (-7) -2 - -2 - 2 + 7 Keep sign of largest number different 7 - 2 5 Answer: 5 5/6 Example 5-5a

ALGEBRA Evaluate Answer: –10 5/6 Example 5-5b

Range = Greatest value - smallest value 40 - (-45) GEOGRAPHY In Mongolia, the temperature can dip down to –45C in January. The temperature in July may reach 40C. What is the temperature range in Mongolia? Remember: Range = Greatest value - smallest value 40 - (-45) Find the greatest value Put subtraction sign in expression Find the least value 6/6 Example 5-6a

Combine the negative signs and make a positive sign GEOGRAPHY In Mongolia, the temperature can dip down to –45C in January. The temperature in July may reach 40C. What is the temperature range in Mongolia? Combine the negative signs and make a positive sign 40 - (-45) Draw arrows to the signs Determine if the signs are the same or different 40 + 45 Same sign, add the numbers without the signs 40 + 45 Same 40 + 45 Keep the sign 85 Add dimensional analysis Answer: 85C 6/6 Example 5-6a

* TEMPERATURE On a particular day in Anchorage, Alaska, the high temperature was 15F and the low temperature was –11F. What is the range of temperatures for that day? Answer: 26F 6/6 Example 5-6b

Assignment Lesson 3:5 Subtracting Integers 12 - 35 All End of Lesson 5