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M1.2A ALGEBRA > FOUR OPERATORS ON ALGEBRAIC EXPRESSIONS > Flashcards

FOUR OPERATORS ON ALGEBRAIC EXPRESSIONS Flashcards

1
Q

ADDITION AND SUBTRACTION

WHAT IS A LIKE TERM?

A

NUMERICAL MULTIPLES OF THE SAME ALGEBRAIC QUANTITY.

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2
Q

ADDITION AND SUBTRACTION

HOW CAN AN EXPRESSION OF LIKE TERMS BE REDUCED TO A SINGLE TERM?

A

BY ADDING OR SUBTRACTING THE NUMERICAL COEFFICIENTS.

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3
Q

ADDITION AND SUBTRACTION

IF TERMS ARE NOT LIKE ONE ANOTHER CAN THEY BE ADDED OR SUBTRACTED?

A

NO - ONLY LIKE TERMS CAN BE ADDED OR SUBTRACTED.

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4
Q

ADDITION AND SUBTRACTION

CAN YOU SIMPLIFY SEVERAL SETS OF LIKE TERMS?

A

YES - IT IS POSSIBLE TO SIMPLIFY SEVERAL SETS OF LIKE TERMS.

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5
Q

MULTIPLICATION AND DIVISION

WHAT ARE THE SPECIFICS IN WRITING MULTIPLICATION OF ALGEBRAIC SYMBOLS?

A
  • MULTIPLICATION SIGNS ARE OMITTED
  • BUT THIS DOES NOT APPLY TO NUMBERS
  • SYMBOLS DO NOT NEED TO BE WRITTEN IN A SPECIAL ORDER
  • IT IS USUAL TO WRITE NUMBERS BEFORE SYMBOLS
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6
Q

MULTIPLICATION AND DIVISION

WHAT IS A COEFFICIENT IN ALGEBRAIC EXPRESSION?

A

THE NUMBER IN FRONT OF THE SYMBOL.

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7
Q

MULTIPLICATION AND DIVISION

WHAT ARE THE SPECIFICS IN WRITING DIVISION OF ALGEBRAIC SYMBOLS?

A
  • THE DIVISION SIGN IS SELDOM USED
  • IT IS MORE CONVENIENT TO WRITE DIVISION AS A FRACTION
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8
Q

MULTIPLICATION AND DIVISION

HOW DO THE RULES APPLY FOR MULTIPLYING AND DIVIDING APPLY IN ALGEBRA?

A

THE SAME AS ARITHMETIC

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9
Q

MULTIPLICATION AND DIVISION

HOW DO YOU DIVIDE ALGEBRAIC EXPRESSION?

A

CANCELLING BETWEEN THE NUMERATOR AND DENOMINATOR.

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10
Q

MULTIPLICATION AND DIVISION

WHAT IS CANCELLING?

A

IN DIVISION CANCELLING IS EQUIVALENT TO DIVIDING BOTH NUMERATOR AND DENOMINATOR BY THE SAME QUANTITY.

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11
Q

MULTIPLICATION AND DIVISION

WHEN CAN WE USE CANCELLING?

A

WHEN AN ALGEBRAIC FRACTION IS EXPRESSED IN ITS SIMPLEST FORM / LOWEST TERMS.

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12
Q

MULTIPLICATION AND DIVISION

EXPRESS THE FOLLOWING FRACTION IN THE LOWEST TERMS
a²b / ab²

A
  • a x a x b / a x b x b
  • IDENTIFY THE COMMON FACTORS IN THE NUMERATOR AND DENOMINATOR
  • a / b
  • DIVIDE BOTH BY THE COMMON FACTORS. CANCELLING DOWN.
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13
Q

MULTIPLICATION AND DIVISION

WHAT DOES BODMAS STAND FOR?

A

BRACKETS
ORDER
DIVIDE
MULTIPLY
ADD
SUBTRACT

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14
Q

MULTIPLICATION AND DIVISION

SHOULD WE USE BODMAS DURING ALGEBRAIC CALCULATIONS?

A

YES

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M1.2A ALGEBRA (4 decks)

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