Guided notes section 1.5 - 1.8

Guided notes section 1.5 - 1.8

Multiplication

• Shorthand form of addition

• Multiplicand and multipliers are called factors; the answer is the product

• Like addition properties can be used when multiplying:

• Commutative, associative and distribution are the properties used when multiplying.

• Multiplication has two other properties: zero property and identity property. Any number multiplied by zero will be zero; any number multiplied by 1 will keep its identity.

Multiple Choice

Which property does

3 x 9 = (3 x 6) + (3 x 3)

represent?

• Distributive

• Associative

• Identity

• Commutative

Multiple Choice

Which of these illustrates the associative property of multiplication?

• 3 x (2 x 7) = (3 x 2) x 7
• 6(3 + 1) = (6 x 3) + (6 x 1)
• 4 x 23 = 23 x 6
• 5 x 0 = 0

Multiple Choice

States that the product of the number and 1 is that number.

• Identity Property of Zero
• Identity Property of Multiplication
• Identity Property of Addition
• Multiplicative Property of Zero

Multiple Choice

Which property of multiplication is shown below:
1 × 83 = 83

• Commutative Property
• Associative Property
• Identity Property
• Zero Property

Multiple Choice

Which property of multiplication is shown below:
17 × 113 = 113 × 17

• Commutative Property
• Associative Property
• Identity Property
• Zero Property

Multiple Choice

Which property of multiplication is shown below:
0 × 27 = 0

• Commutative Property
• Associative Property
• Identity Property
• Zero Property

Multiplication of numbers

• When multiplying numbers, if a double digit is multiplied by a single digit; distribute the single digit through the two digits.

• EX. 34 x 4 = 136

• When multiplying double digit numbers by double digit numbers, the same process will take place like the single digit. The difference is in the second digit, a zero will hold the place in the ones value and the distribution will begin in the 10's place.

• 
  

• 
  

Multiple Choice

23x32

• 736
• 606

Multiple Choice

15 x 32

• 24
• 408
• 480
• 1,280

Multiple Choice

91X5

• 903

• 455

• 544

• 2,100

Multiple Choice

58X3

• 147

• 139

• 174

• 289

Multiple Choice

7x7=___

• 14

• 45

• 36

• 49

Multiple Choice

37 x 8

• 396

• 296

• 257

• 295

Division

• Inverse operation to multiplication.

• The dividend is divided by the divisor to give the quotient or answer.

• Any number divided by zero is called undefined; 0 divided by any number is 0.

• When dividing there is a chance that the exact answer will not be found; a remainder may be used to finish the problem.

Multiple Choice

7592 ÷ 4 =

• 1888

• 1898

• 898

Multiple Choice

What is the "2" Called

• Remainder

• Dividend

• Divisor

• Quotient

Multiple Choice

What is the "1" called

• Divisor

• Quotient

• Dividend

• Remainder

Multiple Choice

What is the First "7" Called

• Divisor

• Quotient

• Remainder

• Dividend

Multiple Choice

528 ÷ 6

• 84

• 85

• 86

• 88

Multiple Choice

672 ÷ 7

• 94

• 95

• 96

• 97

Multiple Choice

864 ÷ 9

• 94

• 95

• 96

• 97

Prime, Factors and Exponents

• Prime: values that have a factor x 1 only.

• Composite: values that have more than one factor.

• Prime numbers like 2, 3, 5 and 7 have only itself and one as factors.

• Use divisibility rules to find the factors.

• Prime factorization can be used to break the number down.

• To shorten the answer to prime factorization, exponents can be used on numbers that appear more than once.

Multiple Choice

Find the prime factorization using exponents.

20

• 2 x 10

• 4 x 5

• 2 x 2 x 5

• $2^2\times5$

Multiple Choice

What is the exponential form:

10 x 10 x 10

• 10 x 3

• 30

• $10^3$

• 10

Multiple Choice

Use a factor tree to find the prime factorization of 32

• 2x2x2x4

• 2x2x2x2x2

• 4x4x2

• 2x2x2x2x1

Multiple Choice

2 x 2 x 2 is the prime factorization of

• 6
• 12
• 22
• 8

Multiple Choice

Is 5 prime or composite? 

• Prime
• Composite

Multiple Choice

Which number is composite?

• 11
  11
• 13
• 21
• 23

Multiple Choice

Which number is NOT a factor of 18 ?

• 9
• 5
• 3
• 2

Multiple Choice

Find the prime number

• 10
• 9
• 7
• 4

Multiple Choice

Prime numbers have:

• Exactly 2 factors

• 2 pairs of factors

• More than 2 factors

• 1 factor

Order of operations

• Used to solve an expression

• Rules involved:

• 1. Grouping symbols will be done first.

• 2. Exponent values

• 3. Multiply or divide which ever is first reading left to right.

• 4. Addition or subtraction which ever is first reading left to right.

Multiple Choice

(10 + 2) X 10 - 3 = 

• 145
• 27
• 117
• 53

Multiple Choice

(9 + 39) ÷ (11 - 5) = 

• 17
• 14
• 9
• 8

Multiple Choice

(10 + 33 - 3) ÷ 8

• 13
• 3
• 5
• 11

Multiple Choice

15 x 19 + 18 ÷ 6 = 

• 250
• 199
• 400
• 288