Fractions and mixed numbers

How to subtract integers

Change the sign of the second integer and then follow rules of addition (-3)-(-4)=(-3)+(+4)=+1

Which is greater 3/4 or 2/3

Change to equivalent fractions the common denominator would be 12 - 3*3=9, 4*3=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

How to divide two integers

Divide absolute values of the integers. The answer is positive if both integers have the same sign or negative if they have different signs

Change fraction 5/8 to a decimal

Divide the numerator by the denominator 5 divided by 8 = 0.625

Multiply fractions

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

Distance formula

Distance = rate x time

Do you make denominators match in multiplication and division

No

Do you turn mixed numbers into improper fractions when multiplying?

No

Solve (5)(-2)=

-10

Integers

0, all counting numbers 1,2,3,4 etc and the negatives of the counting numbers -1,-2,-3,etc

5*3/8=

1 7/8

List the order of operations

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 A. Multiply and divide from left to right then B. Add and subtract in order from left to right

Write 3.2 as a fraction

3 2/10 which can be reduced to 3 1/5

How many feet are in a yard

3 feet in a yard

Make a mixed number into a fraction

4 2/3 = 4*3+2 over 3 - answer 14/3

Volume of a Sphere

4/3 x pie x radius cubed

2 x 6 2/5

12 4/5

5*3/16=

15/16

Make improper fraction to a proper fraction

17/5 = 17 divided by 5 = 3 with a remainder of 2 = 3 2/5

140 / 7/9

180

What is the sum of the interior angles of a triangle

180 degrees

1 5/7 x 1 5/9 =

2 2/3

3/8 / 4/9

28/32

Surface area of a box

2LW + 2LH + 2WH

6 x 7 3/8

44 1/4

360 / 4/5

450

7 x 6 2/3

46 2/3

3/8 + 4/9

59/72

Solve (9) + (-3)

6

3 x 2 1/4

6 3/4

Surface Area of a 3D cube

6S squared

Add or subtract fractions - part 2

8/12 + 9/12 = 17/12 then simplify to 1 5/12

Solve (-3) - (-4)

= (-3) + (4) =1

Solve (-5) - (8)

= (-5) + (-8) = -13

Solve -12/6

=-2

Solve 7-8 divided by 2 x 3=

=-5

Solve (-4)(-3)

=12

Solve -8/-4

=2

What is the Commutative Property of 2*3

=3*2

What is the Commutative Property of 2+3

=3+2

Round 3.567 to the nearest hundredth

=3.57

A is b% of what number

A=b•xb

-8 over -4 =

Answer +2

(+5)(-2)=

Answer -10

-12 over +6 =

Answer -2

Two legs of a right triangle have side lengths of 5 and 12. What is the hypotenuse

Answer 13

Multiply 4 * 2/9 =

Answer 8/9

Where do you stop and why when dividing 2.6/0.345

Answer is 7.5 - stop when the remainder is less than half of the divisor

Terminating decimal

Any decimal number which ends (has a last number)

Repeating decimal

Any. Umber behind the point that over and over in some set pattern

How do you indicate an absolute value

Enclose the number in vertical bars |1| or |-4|

How do you estimate the product in multiplication 9.71 and 87.43

Estimate each of the numbers 9.71 =10 87.43=87 10*87=870

Absolute Value

Except for zero absolute value is always a positive number.

Add or subtract fractions - step 1

Find a common denominator. 2/3 + 3/4 the common denominator is 12, 4*3=12, 3*3=9 so this makes 3/4 into 9/12. Do same for other fraction.

What percent of 19.95 is 4.5

Find a percent (hundredths) 4.5/19.95 approximates to 5/20 = 25/100 =25%

What are the rules for operations with integers with different signs (-7) + (4) =

Find the difference in the integers and put the sign of the largest absolute value before the answer (-7) + (4) = -3

What position is the 8 in 3.187

Hundredth

Divide Fraction

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 3*3 = 9 and 2*5=10 so answer is 9/10

In the statement: what is A% of B What does is and of mean?

Is= answer Of = multiply X=a • b

Volume of a box

LWH

Divide 0.7935/0.23

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.

How to multiply integers

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

Surface area of a right cylindar

SA = 2 x pie x radius squared

Surface area of a sphere

SA = 4 x pie x radius squared

What are the rules for operations with integers with like signs (+5) + (+3) =

Since both integers have a + in front of them your answer is +8 Remember that you do not have to write the +

What are the rules for operations with integers with like signs (-5) + (-3) =

Since both integers have a - in front of them your answer is -8

On a number line are the smallest numbers in the left or right

Smallest numbers (negative numbers) are on the left

What is associative property

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

What types of numbers are not identities

Subtraction and division

What position is the 1 in 3.187

Tenth

Divisor

The number that you are dividing by.

Subtrahend

The second integer in a problem

How do you recognize when two expressions are equivalent

They have the same evaluation for any number replacements of the variables.

What position is the 7 in 3.187

Thousandth

Reciprocal

To invert a fraction also known as when you flip a fraction. The reciprocal of 3/4 is 4/3

Commutative properties

To move around numbers or letters Example: a+b=b+a or 2+3=3+2

What is the numerator

Top number of a fraction

Volume of a 3D cube

V = S cubed

Volume of a right cylindar

V = pie x Radius squared x height

Quotent

Whole number part of a mixed number 4 2/3, Quotient = 4

What is the formula for the area of a square

Width x height or A = a squared

Reduce Fraction

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

What is the absolute of -8

|-8|=8

What is the absolute of 7

|7|=7

Write a. Number with a repeating decimal

3.7777777

Round 4893 to the tens place

=4890

3*3/10

=9/10

Write a number with a terminating decimal

3.67

How do you estimate the division 483.45/62.1

=8

Solve (4-7*2)+6*5-12

=8

Round 83.649 to one decimal place

=83.6

What is the Commutative Property of a+b

=b+a

What is the Commutative Property of ab

=ba

Area of a triangle

A = 1/2 x B x H

Area of a semicircle

A = 1/2 x pie x radius squared

Dividend

A number to be divided by another number

Distributive property

A property used to multiply a single term and two or more terms inside a set of parentheses example 2(3+6)

Pythagorean Theorem

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.

What is a square root of a number

A squared is the number that represents A times itself

What is the denominator

Bottom number of a fraction