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Year 1 Substation 2 > Lesson 1 - 5 > Flashcards

Lesson 1 - 5 Flashcards

1
Q

The numbers 1,2,3,4,5……make up a set of _________

A

Whole numbers

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2
Q

Whole numbers along with ________,________,________, and ________ form a mathematical system.

A

Addition
Subtraction
Multiplication
Division

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3
Q

The system that is made up of Whole numbers and mathematical operations is called

A

The Decimal System

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4
Q

The Latin word “decem” means

A

10

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5
Q

The decimal system has only 10 symbols, what are they called?

A

Digits

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6
Q

The decimal system is said to have a base of _______

A

10

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7
Q

The value of any digit in a particular number is determined by

A

The position it occupies in the number

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8
Q

Each position in a number represents what?

A

Power of 10

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9
Q

What are the three forms to express a number?

A

Standard form
Expanded form
Word form

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10
Q

The rounding of numbers depends on the

A

Accuracy that is desired

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11
Q

What are the three rules for rounding?

A

Step 1: identify the digit in the place you want to round to.
Step 2: Look at the digit to the right, if it is 5 or greater, increase the digit in the place being rounded by one ( round up). Otherwise, keep that digit the same ( round down).
Step 3: write zeros in the places to the right of the digit that was rounded.

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12
Q

The “+” symbols is the sign used for

A

Addition

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13
Q

Numbers being added are the

A

Addends

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14
Q

The result of addition is called the

A

Sum

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15
Q

When one or more of the numbers being added has more than one digit, you must

A

Align the numbers so that all the ones digits are in a column and so on.

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16
Q

The number being subtracted is called

A

Subtrahend

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17
Q

The number from which you are subtracting is called

A

Minuend

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18
Q

The result of subtraction is

A

The difference

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19
Q

Multiplication is way to express

A

Repeated addition

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20
Q

Various symbols are used to indicate multiplication. What are they?

A

X- an X
• - a raised dot
()- enclosing parentheses

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21
Q

The number being multiplied is known as an

A

Multiplicand

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22
Q

The number by which you are multiplying is

A

The multiplier

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23
Q

The multiplicand and the multiplier are

A

Factors

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24
Q

The answer in multiplication is the

A

Product

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25
Q

The product of 1 and any number is

A

Is that number

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26
Q

The product of zero and any number is

A

Zero

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27
Q

When the product has 2 digits the product of each of its digits and the multiplicand is

A

A partial product

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28
Q

What is the process used to separate a group into equal parts?

A

Division

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29
Q

Division is the ______ ______ of multiplication

A

Inverse operation

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30
Q

The number being divided is called

A

Dividend

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31
Q

The number by which you are dividing

A

Divisor

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32
Q

The answer of division is called

A

The quotient

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33
Q

The result of the last subtraction in division is called

A

The remainder

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34
Q

Zero divided by any number (except zero) is

A

Zero

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35
Q

Division of any number by zero is

A

Undefined

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36
Q

Any number divided by 1 is

A

That number

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37
Q

Every number has an opposite except

A

Zero

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38
Q

Opposites are the same distance from

A

Zero on the number line

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39
Q

________ are composed of the counting numbers and their opposites, together with zero

A

Integers

40
Q

The absolute value of a number is

A

The distance from zero on the number line

41
Q

The absolute value is defined as a distance, it is always

A

Non negative

42
Q

To add two or more numbers that have the same sign

A

Add their absolute values, the sum has the same sign as the addends

43
Q

To add two numbers that have different signs?

A

Subtract the lesser absolute value from the greater absolute value. The sum (difference) has the sign of the number with the greater absolute value

44
Q

Subtracting integers a helpful hint to remember

A

Do not change the sign of the first number. Change subtraction to addition, and change the sign of the second number

  • 5 - 2=
  • 5 + (-2)=
45
Q

To multiply two numbers that have the same sign,

A

Multiply the absolute values. The product is positive

46
Q

To multiply two numbers that have different signs

A

Multiply the absolute values. The product is negative

47
Q

The product of any number and zero is

A

Zero

48
Q

To divide numbers that have the same sign

A

Divide the absolute value. The quotient is positive

49
Q

To divide the numbers that have different signs

A

Divide the absolute value. The quotient is negative

50
Q

What is Algebra?

A

The study of operations and relationships among numbers, often using symbols to represent numbers.

51
Q

What are variables?

A

Symbols that represent numbers

52
Q

What is an expression?

A

A number, a variable, or a combination of numbers, variables and operations.

53
Q

What is purpose of the order of operations?

A

A lost of steps to be followed for finding the value of an expression.

54
Q

What is the Order of Operations

A 
Complete all calculations of
Parentheses 
Exponents
Multiplication & Divisions (Left to right)
Addition & Subtraction (Left to right)
In that order
55
Q

What are grouping symbols? There are 4

A

Parentheses
Brackets
Absolute value signs
Fraction bar

56
Q

What is the Commutative Property of Addition

A

Changing the order of addends does not change the sum

57
Q

What is the Commutative Property of Multiplication?

A

Changing the order of factors does not change the product

58
Q

The Associative Property of Addition

A

Changing the grouping of addends does not change the sum

59
Q

The Associative Property of Multiplication states

A

Changing the grouping of factors does not change the product

60
Q

The Distributive Property of Multiplication over Addition states

A

Multiplying the sum by a number gives the same result as multiplying each addend by the number and then adding the products

61
Q

The Identity Property for Addition

A

Sum of Zero and any number is that number

62
Q

Identity Property for Multiplication

A

Product of any number and one, is that number

63
Q

Multiplication Property of Zero

A

The product of any number and zero is zero

64
Q

The opposite of a number is called

A

The additive inverse

65
Q

The opposite of a number is formed by

A

Multiplying that number by -1

66
Q

The reciprocal of any number except zero is called

A

The multiplicative inverse of the number

67
Q

The reciprocal of a number is formed

A

By writing the number as a fraction and then inverting the fraction

68
Q

The property of Additive Inverses states

A

The sum of a number and it’s opposite is zero

69
Q

The property of Multiplicative Inverses states

A

That the product of any number, except zero, and it’s reciprocal is 1

70
Q

Algebraic expressions consist of

A

Terms

71
Q

A term can be ________, ________, or ______________

A

A number
A variable
A product of a number and variable

72
Q

In an expression, terms are separated by

A

Addition and subtraction symbols

73
Q

The numerical factor in a term is called

A

The coefficient

74
Q

A decimal is

A

A number that contains a decimal point

75
Q

The decimal point ________

A

Separates the whole number from the part of the number less than a whole

76
Q

To compare decimals ______

A

Write them so they each have the same number of decimal places.

77
Q

What are the steps to multiplying decimals? (3)

A
  1. Multiply as you would whole numbers
  2. Find the sum of the decimal places in the factors
  3. . insert a decimal point so that the number of decimal places in the product is the sum in step 2
78
Q

What are the steps to divide decimals? (3)

A
  1. Move the decimal point in the divisor to the right until the divisor becomes a whole number
  2. Move the decimal point in the dividend to the right the same number of places that was moved in the divisor. Place decimal point in the quotient directly above.
  3. Divide
79
Q

Steps to convert a decimal to a fraction or mixed number

A

A decimal number less than one, use the word form. First part of the word form is the numerator, the second part is the denominator. Then simplify

80
Q

A _______is a special ratio that compares a number to 100 using the symbol _______.

A

Percent

%

81
Q

You can convert between decimals and percents by _________

A

moving the decimal point

82
Q

How do you convert a Percent to a Decimal? 75%

A

Move the decimal point 2 places to the left

75%=.75

83
Q

How to convert Percent to a Fraction? 75%

A
  1. Recognize the decimal point location
  2. The denominator is the largest place value after the decimal point
  3. Simplify when possible
    75%=.75= Seventy-five hundredths= 75/100=3/4
84
Q

How to convert a Decimal to a Percent? .75

A

Move the decimal point 2 places to the right.

.75=75%

85
Q

How to convert a decimal to a fraction? .75

A

Make .75 into a fraction with 100 as the denominator

Simplify the fraction when possible

86
Q

How to convert a fraction to a decimal? 3/4

A

Divide the numerator by the denominator

87
Q

How to convert a Fraction to a Percent?

A

Convert to a decimal

Convert to a percent

88
Q

How to solve percent problem with Proportions? 27% is how much of $2100

A 
1. Create a Part/Whole Fraction 
Part/Whole=Part/Whole
27/100 = N/2100
2. Reduce and Cross multiply
3. Solve for N
89
Q

An _________ is a mathematical sentence that states that two expressions are equal.

A

equation

90
Q

To solve an equation you must _________ and how?

A
  1. find the value(s) of the variable that makes the equation true
  2. Isolate the variable
91
Q

The value that makes the equation true is called a _________

A

solution

92
Q

If a variable is multiplied by a number, you can _______ or _______ to isolate the variable

A
  1. Divide by that number

2. Multiply by the reciprocal

93
Q

If the variable is raised to an even power, the equation will have

A

Two distinct solutions

94
Q

If the variable is raised to an odd power, the variable will have

A

one solution

95
Q

To isolate a variable with a radical symbol you must

A

Write the variable without a radical. Isolate the variable by raising both sides of the equation to the Index power.

Year 1 Substation 2 (6 decks)

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