3.242424 As A Mixed Number
Question: What is the numerator
Answer: Top number of a fraction
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Question: What is the denominator
Answer: Bottom number of a fraction
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Question: Make a mixed number into a fraction
Answer: 4 2/3 = 4*3+2 over 3 - answer 14/3
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Question: Quotent
Answer: Whole number part of a mixed number 4 2/3, Quotient = 4
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Question: Make improper fraction to a proper fraction
Answer: 17/5 = 17 divided by 5 = 3 with a remainder of 2 = 3 2/5
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Question: Reduce Fraction
Answer: You can reduce fractions if the numerator and denominator can both be decided by the same number 12/18 both can be divided by 6 so new number is 2/3
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Question: Add or subtract fractions - step 1
Answer: Find a common denominator. 2/3 + 3/4 the common denominator is 12, 43=12, 33=9 so this makes 3/4 into 9/12. Do same for other fraction.
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Question: Add or subtract fractions - part 2
Answer: 8/12 + 9/12 = 17/12 then simplify to 1 5/12
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Question: Multiply fractions
Answer: Do cancellation first. 4/5 * 3/8
4 will go into 8 so it will change the 4 to a 1 and the 8 to 2. Your new fractions are 1/5 * 3/2 then multiply two numerators
And that is your new top number, then multiply two denominators and that is your new denominator = your new answer is 3/10
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Question: Reciprocal
Answer: To invert a fraction also known as when you flip a fraction. The reciprocal of 3/4 is 4/3
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Question: Divide Fraction
Answer: Invert the divisor (second fraction) and then multiply. 3/4 divided by 5/6 = 3/4 6/5 do a cancelation would make it 3/2 3/5 then 33 = 9 and 25=10 so answer is 9/10
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Question: Which is greater
3/4 or 2/3
Answer: Change to equivalent fractions the common denominator would be 12 - 33=9, 43=12 so first fraction is 9/12 do the same for the second fraction is now 8/12.
Which is greater 9/12 or 8/12
9/12>8/12
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Question: What position is the 1 in 3.187
Answer: Tenth
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Question: What position is the 8 in 3.187
Answer: Hundredth
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Question: What position is the 7 in 3.187
Answer: Thousandth
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Question: Write 3.2 as a fraction
Answer: 3 2/10 which can be reduced to 3 1/5
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Question: Terminating decimal
Answer: Any decimal number which ends (has a last number)
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Question: Repeating decimal
Answer: Any. Umber behind the point that over and over in some set pattern
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Question: Write a number with a terminating decimal
Answer: 3.67
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Question: Write a. Number with a repeating decimal
Answer: 3.7777777
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Question: Change fraction 5/8 to a decimal
Answer: Divide the numerator by the denominator 5 divided by 8 = 0.625
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Question: Divide 0.7935/0.23
Answer: Move decimal on the divisor to the right until it is a whole number. Then move the decimal in the divided number the same. Umber of places to the right. 0.23 = 24 and 0.7935 = 079.35. In your final answer your decimal should line up with the divided numbers decimal.
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Question: Dividend
Answer: A number to be divided by another number
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Question: Where do you stop and why when dividing 2.6/0.345
Answer: Answer is 7.5 - stop when the remainder is less than half of the divisor
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Question: Divisor
Answer: The number that you are dividing by.
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Question: Integers
Answer: 0, all counting numbers 1,2,3,4 etc and the negatives of the counting numbers -1,-2,-3,etc
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Question: Absolute Value
Answer: Except for zero absolute value is always a positive number.
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Question: How do you indicate an absolute value
Answer: Enclose the number in vertical bars |1| or |-4|
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Question: What is the absolute of 7
Answer: |7|=7
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Question: What is the absolute of -8
Answer: |-8|=8
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Question: What are the rules for operations with integers with like signs
(+5) + (+3) =
Answer: Since both integers have a + in front of them your answer is +8
Remember that you do not have to write the +
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Question: What are the rules for operations with integers with like signs
(-5) + (-3) =
Answer: Since both integers have a - in front of them your answer is -8
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Question: What are the rules for operations with integers with different signs
(-7) + (4) =
Answer: Find the difference in the integers and put the sign of the largest absolute value before the answer
(-7) + (4) = -3
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Question: Solve (9) + (-3)
Answer: 6
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Question: How to subtract integers
Answer: Change the sign of the second integer and then follow rules of addition
(-3)-(-4)=(-3)+(+4)=+1
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Question: Subtrahend
Answer: The second integer in a problem
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Question: Solve
(-3) - (-4)
Answer: = (-3) + (4) =1
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Question: Solve
(-5) - (8)
Answer: = (-5) + (-8) = -13
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Question: How to multiply integers
Answer: Multiply absolute values of the integers. The answer is positive if both integers have the same sign or negative if they have different signs (-4)(-3)=+12
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Question: -8 over -4 =
Answer: Answer
+2
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Question: -12 over +6 =
Answer: Answer
-2
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Question: How to divide two integers
Answer: Divide absolute values of the integers. The answer is positive if both integers have the same sign or negative if they have different signs
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Question: Solve
(-4)(-3)
Answer: =12
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Question: Solve
-8/-4
Answer: =2
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Question: Solve
-12/6
Answer: =-2
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Question: Solve
(5)(-2)=
Answer: -10
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Question: How do you recognize when two expressions are equivalent
Answer: They have the same evaluation for any number replacements of the variables.
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Question: Commutative properties
Answer: To move around numbers or letters
Example:
a+b=b+a or 2+3=3+2
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Question: What is the Commutative Property of
a+b
Answer: =b+a
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Question: What is the Commutative Property of
2+3
Answer: =3+2
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Question: What is the Commutative Property of
ab
Answer: =ba
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Question: What is the Commutative Property of
2*3
Answer: =3*2
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Question: What is associative property
Answer: States you can add or multiply regardless of how the numbers are grouped (meaning it does not matter where you put the parenthesis)
Example
3+4+1=3+4+1 equals
(3+4) +1=3+(4+1) equals (7)+1=3+(5) equals 8=8
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Question: Distributive property
Answer: A property used to multiply a single term and two or more terms inside a set of parentheses example
2(3+6)
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Question: What types of numbers are not identities
Answer: Subtraction and division
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Question: List the order of operations
Answer: 1. Simplify within each grouping symbol by beginning with the most inner most parentheses
2. When an expression contains two or more operations with no grouping symbol indicating the order of operations
Multiply and divide from left to right then
B. Add and subtract in order from left to right
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Question: Solve
(4-72)+65-12
Answer: =8
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Question: Solve
7-8 divided by 2 x 3=
Answer: =-5
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Question: Round 83.649 to one decimal place
Answer: =83.6
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Question: Round 4893 to the tens place
Answer: =4890
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Question: Round 3.567 to the nearest hundredth
Answer: =3.57
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Question: How do you estimate the product in multiplication
9.71 and 87.43
Answer: Estimate each of the numbers
9.71 =10
87.43=87
10*87=870
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Question: How do you estimate the division
483.45/62.1
Answer: =8
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Question: What percent of 19.95 is 4.5
Answer: Find a percent (hundredths)
4.5/19.95 approximates to 5/20 = 25/100 =25%
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Question: Do you make denominators match in multiplication and division
Answer: No
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Question: Do you turn mixed numbers into improper fractions when multiplying?
Answer: No
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Question: Multiply
4 * 2/9 =
Answer: Answer
8/9
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Question: 3*3/10
Answer: =9/10
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Question: 5*3/16=
Answer: 15/16
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Question: 5*3/8=
Answer: 1 7/8
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Question: 3 x 2 1/4
Answer: 6 3/4
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Question: 2 x 6 2/5
Answer: 12 4/5
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Question: 7 x 6 2/3
Answer: 46 2/3
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Question: 6 x 7 3/8
Answer: 44 1/4
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Question: 1 5/7 x 1 5/9 =
Answer: 2 2/3
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Question: 3/8 + 4/9
Answer: 59/72
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Question: 3/8 / 4/9
Answer: 28/32
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Question: 360 / 4/5
Answer: 450
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Question: 140 / 7/9
Answer: 180
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Question: Pythagorean Theorem
Answer: A squared + b squared = c squared. Three sides of a right triangle. A and b are the lengths of the legs and c is the length of the hypotenuse.
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Question: Two legs of a right triangle have side lengths of 5 and 12. What is the hypotenuse
Answer: Answer
13
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Question: What is a square root of a number
Answer: A squared is the number that represents A times itself
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Question: How many feet are in a yard
Answer: 3 feet in a yard
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Question: What is the formula for the area of a square
Answer: Width x height or A = a squared
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Question: (+5)(-2)=
Answer: Answer
-10
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Question: On a number line are the smallest numbers in the left or right
Answer: Smallest numbers (negative numbers) are on the left
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Question: In the statement: what is A% of B
What does is and of mean?
Answer: Is= answer
Of = multiply
X=a • b
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Question: A is b% of what number
Answer: A=b•xb
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Question: Distance formula
Answer: Distance = rate x time
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Question: What is the sum of the interior angles of a triangle
Answer: 180 degrees
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Question: Volume of a box
Answer: LWH
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Question: Surface area of a box
Answer: 2LW + 2LH + 2WH
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Question: Surface Area of a 3D cube
Answer: 6S squared
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Question: Volume of a 3D cube
Answer: V = S cubed
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Question: Surface area of a right cylindar
Answer: SA = 2 x pie x radius squared
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Question: Volume of a right cylindar
Answer: V = pie x Radius squared x height
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Question: Surface area of a sphere
Answer: SA = 4 x pie x radius squared
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Question: Volume of a Sphere
Answer: 4/3 x pie x radius cubed
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Question: Area of a semicircle
Answer: A = 1/2 x pie x radius squared
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Question: Area of a triangle
Answer: A = 1/2 x B x H
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