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MATH gr8 > TERM 1 > Flashcards

TERM 1 Flashcards

(69 cards)

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1
Q

What is the highest common factor (HCF) of 18 and 24?

A

6

The HCF is found by identifying the prime factors common to both numbers.

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2
Q

What are the common factors of 18 and 24?

A

1, 2, 3, 6

Common factors are the numbers that divide both 18 and 24 without leaving a remainder.

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3
Q

List the factors of 24.

A

1, 2, 3, 4, 6, 8, 12, 24

Factors are the numbers that divide 24 without leaving a remainder.

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4
Q

List the factors of 18.

A

1, 2, 3, 6, 9, 18

Factors are the numbers that divide 18 without leaving a remainder.

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5
Q

How can the HCF of two or more numbers be determined?

A

By using prime factors

This method involves breaking down each number into its prime factors and identifying the highest common ones.

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6
Q

True or False: A common factor of two numbers is a number that divides both without a remainder.

A

True

Common factors are shared by the numbers and are used to determine the HCF.

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7
Q

Fill in the blank: The greatest of all common factors is called the _______.

A

Highest Common Factor (HCF)

The HCF is the largest number that can divide the given numbers without a remainder.

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8
Q

What does it mean if a number is not a factor of another number?

A

It means it cannot divide that number without leaving a remainder

For example, 18 is not a factor of 60.

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9
Q

What is a common factor?

A

A factor that is shared by two or more different numbers

Common factors can be used to simplify fractions and find the HCF.

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10
Q

Can two or more numbers have more than one common factor?

A

Yes

For example, 18 and 24 share multiple common factors.

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11
Q

What does LCM stand for?

A

Lowest Common Multiple

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12
Q

How is the LCM of two numbers determined?

A

By taking the highest power of each prime factor

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13
Q

What is the LCM of 4 and 6?

A

12

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14
Q

List the first few common multiples of 4 and 6.

A
  • 12
  • 24
  • 36
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15
Q

True or False: The multiples of 4 include the numbers 4, 8, 12, 16, 20, 24.

A

True

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16
Q

What is the significance of the term β€˜common multiple’?

A

It refers to a number that is a multiple of two or more different numbers

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17
Q

Fill in the blank: The _______ of 225, 315, and 495 is 45.

A

HCF

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18
Q

What is the relationship between common multiples and LCM?

A

Common multiples include the LCM as the smallest common multiple

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19
Q

What are the multiples of 6?

A
  • 6
  • 12
  • 18
  • 24
  • 30
  • 36
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20
Q

What prime factors make up the number 495?

A
  • 3
  • 5
  • 11
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21
Q

What is the lowest common multiple of two or more numbers?

A

It is the smallest multiple that is common to all numbers

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22
Q

How many common multiples do two or more numbers have?

A

Infinitely many

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23
Q

What is the LCM of 24 and 90?

A

To be calculated using prime factors

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24
Q

What is the highest common factor of 225, 315, and 495?

A

45

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25
What is the result of rounding 365 to the nearest ten?
470
26
What is the result of rounding 289 to the nearest hundred?
300
27
What is the result of rounding 362 to the nearest hundred?
400
28
Fill in the blank: 2134 rounded to the nearest ten is _____
2130
29
What is the result of rounding 2184 to the nearest hundred?
2200
30
What is the result of rounding 3570 to the nearest thousand?
3600
31
Fill in the blank: 563.28196 rounded to two decimal places is _____
563.28
32
What is the result of rounding 68.65623 to two decimal places?
68.66
33
What is the result of rounding 563.28196 to three decimal places?
563.282
34
What is the result of rounding 68.6563 to two decimal places?
68.66
35
What does LCM stand for?
Least Common Multiple ## Footnote LCM is the smallest number that is a multiple of two or more numbers.
36
What is HCF?
Highest Common Factor ## Footnote HCF is the largest number that can divide two or more numbers without leaving a remainder.
37
Define a multiple.
A multiple is a natural number that can be divided by another natural number without a remainder.
38
Fill in the blank: A _______ is a natural number that can be divided by another natural number without leaving a remainder.
multiple
39
What is the relationship between LCM and multiples?
LCM is the smallest multiple that is common to two or more numbers.
40
What is the definition of a natural number?
A natural number is a positive integer, typically used for counting.
41
True or False: The HCF can be greater than the numbers it divides.
False ## Footnote The HCF is always less than or equal to the smallest number in the set of numbers being considered.
42
What is the HCF of 8 and 12?
4
43
What is the LCM of 8 and 12?
24
44
Fill in the blank: The HCF is the _______ number that can divide two or more numbers.
highest common factor
45
What is a key characteristic of multiples?
They can be obtained by multiplying a number by integers.
46
What is the relationship between LCM and HCF?
LCM and HCF are related concepts in mathematics, specifically in number theory.
47
What does LCM stand for?
Least Common Multiple
48
What does HCF stand for?
Highest Common Factor
49
What is a natural number?
A natural number is a positive integer.
50
Fill in the blank: A _______ is a natural number that can divide another natural number without leaving a remainder.
factor
51
What is a multiple?
A multiple of a natural number is the product of that number and an integer.
52
True or False: The HCF of two numbers is always less than or equal to both numbers.
True
53
What is the smallest number that can be divided by a set of natural numbers without a remainder?
The Least Common Multiple (LCM)
54
Define factors in relation to natural numbers.
Factors are natural numbers that can divide another natural number without leaving a remainder.
55
Identify a key property of the HCF.
The HCF is the largest natural number that can divide two or more numbers.
56
Fill in the blank: The _______ of two numbers is the smallest number that is a multiple of both.
LCM
57
What is the relationship between LCM and HCF?
LCM and HCF are related concepts in mathematics, specifically in number theory.
58
What does LCM stand for?
Least Common Multiple
59
What does HCF stand for?
Highest Common Factor
60
What is a natural number?
A natural number is a positive integer.
61
Fill in the blank: A _______ is a natural number that can divide another natural number without leaving a remainder.
factor
62
What is a multiple?
A multiple of a natural number is the product of that number and an integer.
63
True or False: The HCF of two numbers is always less than or equal to both numbers.
True
64
What is the smallest number that can be divided by a set of natural numbers without a remainder?
The Least Common Multiple (LCM)
65
Define factors in relation to natural numbers.
Factors are natural numbers that can divide another natural number without leaving a remainder.
66
Identify a key property of the HCF.
The HCF is the largest natural number that can divide two or more numbers.
67
Fill in the blank: The _______ of two numbers is the smallest number that is a multiple of both.
LCM
68
What is the significance of prime numbers in relation to LCM and HCF?
Prime numbers are used to find the LCM and HCF through their prime factorization.
69
What is the method to find the HCF of two numbers?
The HCF can be found by identifying the common factors and selecting the largest one.

MATH gr8 (4 decks)

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