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Properties
Objective: Identify properties of
addition and multiplication and usethese properties to solve
problems.
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc 10
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
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8/13/2019 Pre-Algebra Lesson 1.4
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b 20
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8/13/2019 Pre-Algebra Lesson 1.4
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b
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8/13/2019 Pre-Algebra Lesson 1.4
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b 6
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b
4. 7a(2c + b)
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b
4. 7a(2c + b) 20
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b
4. 7a(2c + b)
5. (15ac)/(3c +6)
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b
4. 7a(2c + b)
5. (15ac)/(3c +6) 12
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b
4. 7a(2c + b)
5. (15ac)/(3c +6)
6. The number of fat Calories in a food item can be
calculated
by multiplying the number of fat grams by 9.a. Write an
expression for the relationship between fat
grams and Calories.
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b
4. 7a(2c + b)
5. (15ac)/(3c +6)
6. The number of fat Calories in a food item can be
calculated
by multiplying the number of fat grams by 9.a. Write an
expression for the relationship between fat
grams and Calories. c = 9g
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8/13/2019 Pre-Algebra Lesson 1.4
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b
4. 7a(2c + b)
5. (15ac)/(3c +6)
6. The number of fat Calories in a food item can be
calculated
by multiplying the number of fat grams by 9.a. Write an
expression for the relationship between fat
grams and Calories
b. Find the number of fat Calories in a bag of pretzels with
6 grams of fat.
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5-Minute Check (lesson 1-3)
Evaluate each expression if a = 4, b = 2, and c = 3.
1. a + bc
2. 4a + b*b
3. ac/b
4. 7a(2c + b)
5. (15ac)/(3c +6)
6. The number of fat Calories in a food item can be
calculated
by multiplying the number of fat grams by 9.a. Write an
expression for the relationship between fat
grams and Calories
b. Find the number of fat Calories in a bag of pretzels with
6 grams of fat. 54
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8/13/2019 Pre-Algebra Lesson 1.4
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+ - x
plus
sum
more than
increased by
total
in all
minus
difference
less than
subtract
decreased by
times
product
multiplied
each
of
divided
quotient
Review of words and their meanings
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8/13/2019 Pre-Algebra Lesson 1.4
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Properties of Math
Commutative Properties of Addition and Multiplication
For any numbers a and b,
a + b = b + a
The order in which
numbers are added does
not change the sum.
9 + 2 = 2 + 9
For any numbers a and b,
a *b = b *a
The order in which
numbers are multiplied
does not change the
product.6 *5 = 5 *6
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Properties of Math
Associative Properties of Addition and Multiplication
For any numbers a, b, and
c,
(a + b) + c = a + (b + c)
The way in which addends
are grouped does not
change the sum.(5 + 3) + 1 = 5 + (3 + 1)
For any numbers a, b and
c,
(a *b) *c = a *(b *c)
The way in which numbers
are grouped does not
change the product.(2 *6) *7 = 2 *(6 *7)
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Properties of Math
Identity Properties of Addition and Multiplication
For any numbers a,
a + 0 = a
The sum of an addend and
zero is the addend.
6 + 0 = 6
For any numbers a,
a *1 = a
The way in which numbers
are grouped does not
change the product.
6 *1 = 6
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Properties of Math
Multiplicative Properties of Zero
For any number a,
a * 0 = 0.
The product of a factor and zero is zero.
11 * 0 = 0
