holt ca course 1 2-3 subtracting integers ns2.3 solve addition, subtraction, multiplication, and...
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Holt CA Course Subtracting Integers You can subtract an integer by adding its opposite. You can then use the rules for addition of integers.TRANSCRIPT
Holt CA Course 1
2-3 Subtracting Integers
NS2.3 Solve addition, subtraction, multiplication, and division problems, including those arising in concrete situations, that use positive and negative integers and combinations of these operations.Also covered: AF1.2
California Standards
Holt CA Course 1
2-3 Subtracting IntegersVOCABULARY CARDS
• Subtracting Integers with the Same Sign• Subtracting Integers with Different Signs
Holt CA Course 1
2-3 Subtracting Integers
You can subtract an integer by adding its opposite. You can then use the rules for addition of integers.
Holt CA Course 1
2-3 Subtracting Integers
Find each difference.
Example 1: Subtracting Integers by Adding the Opposite
1A. 5 – (–2)5 + 2
71B. –3 – 7
–3 + (–7)–10
1C. – 1 – (–8)–1 + 8
7
Add the opposite of –2.
Add the opposite of 7.
Add the opposite of –8.
Holt CA Course 1
2-3 Subtracting IntegersPractice 1:
Find each difference.1A. 4 – 2
4 + (–2)2
1B. –2 – (–6)–2 + 6
41C. –1 – 4
–1 + (–4)–5
Add the opposite of 2.
Add the opposite of –6.
Add the opposite of 4.
Holt CA Course 1
2-3 Subtracting Integers
Evaluate x – y for each set of values.
Example 2: Evaluating Expressions with Integers
2A. x = –3 and y = 2x – y–3 – 2 = –3 + (–2)
= –52B. x = 4 and y = –6
x – y4 – (–6) = 4 + 6
= 10
Substitute for x and y.Add the opposite of 2.
Substitute for x and y.Add the opposite –6.
Holt CA Course 1
2-3 Subtracting IntegersPractice 2:
Evaluate x – y for each set of values.2A. x = –4 and y = –3
x – y–4 – (–3) = –4 + 3
= –12B. x = –4 and y = 5
x – y–4 – 5 = –4 + (–5)
= –9
Substitute for x and y.Add the opposite of –3.
Substitute for x and y.Add the opposite of 5.
Holt CA Course 1
2-3 Subtracting Integers
Find the difference between 32°F and –10°F.
Example 3: Temperature Application
32 – (–10)
32 + 10 = 42
The difference in temperature is 42°F.
Add the opposite of –10.
Holt CA Course 1
2-3 Subtracting IntegersPractice 3:
Find the difference between 8°F and –5°F.
8 – (–5)
8 + 5 = 13
The difference in temperature is 13°F.
Add the opposite of 5.
Holt CA Course 1
2-3 Subtracting IntegersLesson Quiz
Use a number line to find the difference.
1. 3 – 9
Find each difference.
2. –7 – 4 3. –3 – (–5)4. Evaluate x – y + z for x = –4, y = 5, and z = –10.
–11
–6
2
–195. On January 1, 2002, the high temperature was
81F in Kona, Hawaii. The low temperature was –29F in Barrow, Alaska. What was the difference between the two temperatures? 110F