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Cards (189)
Why is it important to remove decimals before multiplying?
It simplifies the
multiplication
process
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What should you do after multiplying decimals?
Put
the
decimals
back
in the
answer
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How should you round numbers for estimation?
To
one
significant
figure
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What method can simplify division calculations?
Cancel
off zeros top and bottom
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What do you need to know for rounding?
Decimal places
and
significant figures
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What does a negative power indicate?
To take the
reciprocal
of the base
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How do you find the highest common factor of two numbers?
List factors and
find
the highest one
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What is the process for finding the lowest common multiple?
List
multiples
and find the lowest match
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What is a prime factor tree used for?
To find the
prime factors
of a number
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How do you convert a large number to standard form?
Count
decimal jumps
to find
power of ten
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What should you do when multiplying fractions?
Multiply the
tops
and
bottoms
separately
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What is required for adding or subtracting fractions?
A
common denominator
must be found
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What is the first step in working with percentages?
Calculate
ten percent
of the amount
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How do you calculate a percentage increase?
Add the percentage to the
original
amount
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How do you handle error intervals?
Draw a
number line
to find bounds
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What happens when you multiply powers with the same base?
You add the
exponents
together
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What is truncation in mathematics?
Cutting off
digits
without rounding
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What is the method for collecting like terms in algebra?
Combine
similar
variables and
constants
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How do you expand brackets in algebra?
Multiply each
term
inside by the outside term
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What is the process for factorizing a quadratic expression?
Identify
common factors
and
reverse expansion
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What does the term 'coefficients' refer to in algebra?
Numbers in front of
variables
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How do you handle negative signs when expanding brackets?
Change the signs of the
terms
in the second bracket
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What should you do if you encounter coefficients higher than one in an expression?
Incorporate
the coefficient in the
multiplication
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How do you simplify expressions after expanding brackets?
Combine
like terms
carefully
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What is the result of multiplying two powers with the same base?
Add the
exponents
together
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What is the significance of the number one in algebraic expressions?
It is the
coefficient
of any
variable
without a number
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How do you substitute values into an algebraic expression?
Replace
variables
with their
corresponding
values
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What is the process for working backwards in algebra?
Use trial and error or
reverse operations
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What does the term 'index rules' refer to?
Rules for manipulating
powers
and
exponents
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What is the first step in dividing powers with the same base?
Subtract the
exponents
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How do you handle brackets in algebra?
Multiply everything inside by the
factor
outside
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What should you do when expanding double brackets?
Perform four
multiplications
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How do you factorize a quadratic expression fully?
Identify
common factors
and write them outside
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What is the result of expanding a single bracket?
Multiply
the
term
outside by each term
inside
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What does it mean to collect like terms?
Combine terms with the same
variable
and
exponent
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How do you simplify an expression after expanding brackets?
Combine
like terms
carefully
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What is the significance of recognizing double brackets in factorization?
It indicates two factors that
multiply
to a number
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What should you do if coefficients are higher than one?
Incorporate the number in front of the
letter
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What is the process for simplifying a quadratic expression?
Get the
middle
two pieces and simplify
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How do you factorize a quadratic expression?
Look for factors that go into both
terms
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