Arithmetic

Volume of a Rectangle

V = LWH

How many sides does a pentagon have?

5

How many decimal places do you move the decimal while multiplying two decimals?

the numbers of places after the the decimal of both numbers

When adding fractions….

1. find the least common denominator

2. then times the numerator to get the denominator

To make a whole number a fraction…

put the whole number above a 1 (ex. 16/1)

Which side is the length and the width?

Length = longer side

Width = Shorter side

How many feet are in a yard?

3 ft

Squared means to the what power?

The second power

What is the Mean?

The average of all the numbers

What is the Median?

The middle number

What is the Mode?

The most common number

To convert a decimal to a fraction time the decimal/1 by….

.x = times by 10

.xx = times by 100

.xxx = times by 1,000

How do you find the percent of a number?

Times the percent by the number

When you find the square root of x² the answer is….

Positive and negative ±

How do you convert a ratio into a fraction?

Take the total and put that under the amount you’re finding.

ex. 3 apples and 5 berries

3:5

would be…

3 + 5 = 8

so as a fraction for apples would be…

3/5

and vice versa for the berries

When converting an improper fraction into a whole number/mixed numerals…

/

What is inside the the division box? The numerator or denominator?

Divide the numerator by the denominator….

put the remainder over the denominator… like shown

When multiplying by a decimals….if there are zeros after the decimal point…

the 0’s are cancelled out

What is the the equation for the volume of a cylinder?

V = pi r² h

What is the formula for interest?

Interest = principle x rate x time

When a percent is presented like this .065… what is implied in front to them decimal point? And how does that effect multiplication?

• A zero is implied before the decimal

• the decimal point is moved an extra place down… like in picture

What is the formula for circumference of a circle using the Diameter?

C=πd

What is the formula to find the circumference of a circle using the radius?

C = 2πr

Putting a number over 1 (ex. 10/1) doesn’t….

change the value of the numerator. (the value of 10 remains 10)

How to find a fraction of a whole number?

• take the fraction

• take the whole number and put it over 1

• cross multiply

• How many times for the denominator go into the numerator? (do not reduce the fraction)

  • if there is a remainder - the answer become a decimal

How do you find the percent of a fraction?

• put the loss (?) over the whole

• make the denominator equal 100

  do the same to the numerator

• and the numerator above 100 is the percent

How do you find the original price of an item before a % sale?

• take the price after the sale

• take the whole price (1) and - minus by the percent ( ex. (1 - .15) )

  times it all by x (the unknown)

• Solve

How to change a percentage into a decimal?

Move the decimal point two points (or three depending)

ex. 6.5% is 6.5% of 100

so it would become 0.065

ex. .09

would become > 0.009

How many ft are in a yard?

3

What is a gross?

144 or 12²

How many ounces are in a ton?

32,000

How would you solve this?

(376 + x) /5 = 95

• (376 + x) /5 = 95

• multiply both sides by 5 -> 376 + x = 475

• minus 376 from 475

• x = 99

How to change a fraction into a percent?

• Divide the numerator by the denominator

• times by 100 (move the decimal two places to the right)

How do you add fractions?

• Find the common denominator

• times the numerator by what you need for the denominator to equal the common denominator

• add the numerator across

How to convert a fraction into a percent?

• times the denominator into what would equal 100

• do the same to the numerator

• the numerator over 100 is the percent (ex. 12/100 is 12%)

How do you times a whole number by a fraction?

• put the whole number over 1

• multiply across

• divide the numerator by the denominator

How to convert a percent into a decimal?

• divide the percent by 100 (move the decimal 2 places to the left)

If powers have the same base …..

(ex. y³ x y² =)

You add the powers

y³ x y² = y^5

How many ounces are in a ton?

32,000

How many ounces are in a pound?

16 ounces

How many pounds are in a ton?

2,000 pounds

How many pints are in a gallon?

8 pints

How many quarts are in a gallon?

4 quarts

How do you find the circumference of a circle?

C = 3.14 x D

How to find the diameter of circle is only the circumference?

D = Circumference / 3.14

(Because the formula to find the circumference is C = pi(d) )

What is the formula for distance?

D = rt

(rate x time)

What is the Pythagorean Theorem?/ How do you find the diagonal of a rectangle?

a² + b² = c²

How do you find the amount of possibilities?

times the every number following the largest number until 1.

ex. 3 picture frames

(3)(2)(1) = 6 possibilities

What is the formula for a the area of a rectangle?

A = lw

What is the formula for the area of a square?

A = S²

(s = side)

What do two supplementary angles sum up to?

180

How do you find the average or two averages?

a x b/ a+b

What is the formula for the perimeter of a rectangle?

P = 2(L + W)

.33333 cont. is equivalent to

1/3

.66666 cont. is equivalent to

2/3

What is the formula to find the area of a triangle?

A = 1/2bh

What is the Pythagorean Theorem? And what does it solve?

a² + b² = c²

It finds the missing side of a right triangle.

What is the formula of the area of a circle?

A = pi r²

What is the formula of the perimeter of a square?

p = 4(s)

What is the formula for the area of a square?

A = S²

What is the formula for the area of a rectangle?

A = L x W

What is the formula for the area of a parallelogram?

A = b(h)

What is the formula for the volume of a rectangular prism (boxes)?

V = (L)(W)(H)

What is formula for the volume of a cylinder?

V = (pi)(r²)(h)

What is the formula for the slope of a line?

m = y2 - y1/x2 - x1