Order of Operations
True or false: The product of two negative numbers is a negative number
False!
The product of two negative numbers is a positive number
What is the lowest common denominator of
5/6 + 7/24
24
Name 3 integers that are also a prime number
2, 7, 11...
Why do we use scientific notation?
To express really big and small numbers
Represent 20:24 as a simplified fraction
20 /24 = 5/6
Solve -12 - (-15)
True
-12 - (-15)
= -12 + 15
= 3
What is the trick we learned to divide fractions? (how would you solve it?):
3/4 ÷ 5/6
Keep (the first fraction the same), switch (the operation from division to multiplication), flip (the second fraction... numerator becomes denominator and denominator becomes numerator)
True or false: The wholes numbers are a subset of natural numbers
False!
Whole numbers contain 0 whereas natural numbers do not.
Consider 1.23 x 913
Explain why this is not in scientific notation.
Base is always in 10 in scientific notation
True or false:
1:3 is equivalent to 3:9
True!
[1:3] x3 = 3:9
The product of (-1)27 x (-1)18 is positive.
False!
(-1)27 x (-1)18
= (-1)(1)
= -1 (negative!)
What would be the next line if we crossed reduced the following expression:
1/8 xx 4/7
Divide both 8 (denominator of first fraction) and 4 (numerator of second fraction) by 4. After cross reduction:
1/2 xx 1/7
A ________ set is a set that has elements that are countable
A finite set is a set that has elements that are countable
True or false: 10.23 x 10-6 is in scientific notation.
False!
There should only be one digit to the left of the decimal in the first number (i.e. the first number should be within the range of 1.0 - 9.999...).
Correction: 1.023 x 10-5
Solve for x:
10:30 = 5:x
x = 15
Solve -(7)2 - (-120) + 32
-(7)2 - (-120) + 32
= -49 - (-1) + 9
= -49 + 1 + 9
= -39
Solve
1 2/3 ÷ 2 1/2
5/3 ÷ 5/2 = 5/3 xx 2/5 = 1/3 xx 2/1 = 2/3
True or false:
sqrt8
is an irrational number.
True!
sqrt 8 = 2.82842712... the decimal continues infinititely without a repeating pattern
Put 46,800,000,000,000 into scientific notation.
4.68 x 1013
Express the following as a unit rate:
Sally bought 7 oranges for $5.66.
$5.66 ÷ 7
= $0.81/orange
Solve (-7)2 + (-6) - (-12) x (-2) ÷ 23
(-7)2 + (-6) - (-12) x (-2) ÷ 23
= 49 - 6 - (24) ÷ 8
= 43 - 3
= 40
Solve
2/7 + 1 1/2 ÷ 5/6
2/7 + 3/2 xx 6/5 = 2/7 + 3/1 xx 3/5 = 2/7 + 9/5 = 10/35 + 63/35 = 73/35
List all number sets that follow the density property.
the set of rational numbers is infinitely dense...
in between two specified rational numbers (i.e. fractions), there will always exist another rational number (fraction). This can go on forever, as you will always be able to “squeeze” another fraction in between two others.
Express 4.589 x 10-8 as a standard number.
.00000004589
Order the fractions from least to greatest:
3/4, 4/9, -2/3, 20/11, -3/5, 1 2/3
-2/3, -3/5, 4/9, 3/4, 1 2/3, 20/11