order of operations
powers
Numbers with sign
fractions
Fill the blanks
100
What do we do when we have operations of the same prioriy?
We begin with the one on the left.
100
What is the sign of the result of this operation: (-2)e4 Why?
The result is negative because the exponent is even.
100
What is the opposite of a number
The same number with opposite sign
100
How do we order fractions with the same numerator?
The smallest is the one with the greatest denominator
100
Three is _____ than five.
Three is less than five.
200
Is it correct to do always additions before subtractions? Why?
No, additions and subtractions have the same priority. We begin by the one on the left
200
Which is the name of this power property? aen·ben = (a·b)en
Multiplication of powers with the same exponent.
200
What does the rule of the signs say?
In a multiplication or a division of two numbers, the result is positive if the signs are similar and negative is the signs are different.
200
Calculate an equivalent fraction to 3/5
6/10, 9/15, 12/20, ...
200
We use the line of the numbers to ______ them. The greatest one is always on the right.
order
300
Which is the first operation we have to do in this expression: 1/3 + 2/5 · 4/7. Explain why.
The multiplication: We have to do multiplications before additions or subtractions.
300
What is a power?
It is a multiplication of the same number (base) as many times as another number (exponent) says.
300
How do we add two negative numbers?
We add the absolute values and the result is negative.
300
What is the missing number: 7/70 = 100/?
1000
300
If we order 1/3 and 3/9, 1/3 is _________ to 3/9.
equal
400
Write a composite operation with parenthesis such that the parenthesis are not necessary to obtain the correct result.
The teacher will say if it is correct.
400
Solve, expressing the operations as a single power first: [ 12 : (-6) ]e3 · [ 4 · (-2)e3 ]
(-2)e8 = 256
400
How do we remove a parenthesis without doing the operations inside?
We look at the sign in front of the parenthesis. If the sign is positive, we don't change the signs inside the parenthesis. If the sign is negative, we change the signs inside the parenthesis.
400
Order the follwing fraction, writing them with a common denominator: 11/18, 7/12, 13/24
44/72, 42/72, 39/72 11/18 > 7/12 > 13/24
400
We cross-multiply to find out if _____________________
We cross-multiply to find out if two fractions are equivalent
500
Is it possible to do 2 multiplications in the same step? When?
When the multiplications are separated by additions or subtractions.
500
Express as powers of the same index and, then, the result as a single power: [ (-36) : 6 ]e3 · (2e2)e3 : (-8)
(-6)e3 · 4e3 : (-2)e3 = 12e3
500
Solve: 3 - ( - (-5 - 2 - (-5) ) )
1
500
What's is the main use of amplifying fractions
To write fractions with the same denominator
500
Multiple of a number is a number that contains ________ _______________________________________
Multiple of a number is a number that contains the other one an exact number of times.