POWERS
FRACTIONS
SETS OF NUMBERS
RADICALS
FILL THE BLANKS
100
Calculate using the power properties: 3e5 · 4e5 : 12e5
1
100
Between which whole numbers is the fraction -21/5. Why?
Between -5 and -4, because 20/5 = 4 and 25/5 = 5
100
To which sets of numbers belong the number 12/3?
Natural numbers, Whole numbers and rational numbers.
100
What is an exact radical?
A radical whose result is a rational number.
100
To find out if two fractions are ____________ we cross-multiply
equivalent
200
Calculate: 2e6 - 2e5
16
200
Figure out d from this equality 13/7 = 143/(70+d)
d = 7
200
Enumerate the 6 sets of numbers we already know.
Natural numbers, Whole numbers, Fractionary numbers, rational numbers, irrational numbers and real numbers
200
Calculate the square root of 1,44
1,2
200
If two fractions have different denominators we _________ them so that they have the same denominator in order to add them.
amplify
300
Calculate using the power properties: 4e-3 · 2e6 · 3e3 / (2e-5 · 9e2)
32/3
300
Calculate (don't forget to convert divisions to fractions and to simplify the partial results) ( -7/4 )e2 : 2 · 14 · ( 4/7 )e2
7
300
What is a fractionary number?
A rational number with decimals. or The decimal numbers that can be written as fractions
300
Simplify the square root of 200
10 times the square root of 2
300
In an exact decimal, the number of digits is _________
finite
400
Calculate using the power properties 6e2 · 9e2 / (2e3 · (-3)e2 · 4e2)
81/32
400
[ 5·( -1/2 )e2 + ( 15/4 - 2 ) ] : ( -3/5) Remember to: Convert divisions to fractions Simplify partial results Write the operations to calculate the LCM
-5
400
To which sets of numbers belong the recurring decimals?
Fractionary numbers, Rational numbers and Real numbers
400
What a equivalent radicals?
They are radicals whose corresponding powers have the same base and equivalent fractionary exponents.
400
There are 3 types of decimal numbers: exact decimals, repeating decimals and _____________ numbers
Irrational
500
Simplify as much as possible using the power properties [ ( b/a )e-3 ]e-1 · ( ae-1 · b )e-2
b/a
500
calculate x in the equality: x/4 of 320 = 1360
17
500
How do we know that a fraction represents a recurring decimal?
The denominator of the irreducible fraction is composed only of twos or/and fives.
500
Are the 6th root of 4 and the 9th root of 8 equivalent radicals? Why?
Yes: The 6th root of 4 = 2e(2/6) The 9th root of 8 = 2e(3/9) Their bases are equal and their fractionary exponents are equivalent.
500
2500 years ago, a wise man called Pythagoras discovered with horror that there was a number that ________ ____ __________ _____ ____ _________.
couldn't be written as a fraction
M
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