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Level 274

Rational Numbers, Square Roots & Surface Area

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Square Number
The Square of a number is the number multiplied by itself
Square Root
when multiplying a number by itself to get a square number
Perfect Square
the number that forms when two same numbers are multiplied together
Terminating Decimal
A decimal number that ends or terminates. Example: 6.75
Repeating Decimal
A decimal in which one or more digits repeat infinitely. Example: 0.757575...
Common Denominators
Look for common factors and multiply to get them the same. Then add or subtract
Multiply fractions
multiply numerator by numerator
Dividing fractions
change the division sign to multiply then flip the second fraction.
Fractions to decimals
Fraction represents division
What is a power?
We can use powers to show repeated multiplication
zero exponent
a power with a 0 exponent is equal to 1
Writing numbers in expanded form
Powers of 10
10 000 = 10x10x10x10= 〖10〗^4
Order of Operations
Exponent law for product of powers
To multiply powers with a same base, add the exponents
Exponent law for quotient of powers
to divide powers with the same base , subtract the exponents
Exponent law for a power of a power
to raise a power to a power multiply the exponents
Exponenet law for a power of a product
the power of a product is the product of powers
Exponent law for a power of a quotient
power applies to both the numerator and denominator