



Key concepts

Place Value as in
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Name a Whole Number in Words
 Start at the left and name the number in each period, followed by the period name.
 Put commas in the number to separate the periods.
 Do not name the ones period.

Write a Whole Number Using Digits
 Identify the words that indicate periods. (Remember the ones period is never named.)
 Draw 3 blanks to indicate the number of places needed in each period. Separate the periods by commas.
 Name the number in each period and place the digits in the correct place value position.

Round Whole Numbers
 Locate the given place value and mark it with an arrow. All digits to the left of the arrow do not change.
 Underline the digit to the right of the given place value.
 Is this digit greater than or equal to 5?
 Yes—add 1 to the digit in the given place value.
 No—do
not change the digit in the given place value.
 Replace all digits to the right of the given place value with zeros.

Divisibility Tests: A number is divisible by:
 2 if the last digit is 0, 2, 4, 6, or 8.
 3 if the sum of the digits is divisible by 3.
 5 if the last digit is 5 or 0.
 6 if it is divisible by both 2 and 3.
 10 if it ends with 0.

Find the Prime Factorization of a Composite Number
 Find two factors whose product is the given number, and use these numbers to create two branches.
 If a factor is prime, that branch is complete. Circle the prime, like a bud on the tree.
 If a factor is not prime, write it as the product of two factors and continue the process.
 Write the composite number as the product of all the circled primes.

Find the Least Common Multiple by Listing Multiples
 List several multiples of each number.
 Look for the smallest number that appears on both lists.
 This number is the LCM.

Find the Least Common Multiple Using the Prime Factors Method
 Write each number as a product of primes.
 List the primes of each number. Match primes vertically when possible.
 Bring down the columns.
 Multiply the factors.
Practice makes perfect
Use Place Value with Whole Numbers
In the following exercises, find the place value of each digit in the given numbers.
In the following exercises, name each number using words.
Questions & Answers
A veterinarian is enclosing a rectangular outdoor running area against his building for the dogs he cares for. He needs to maximize the area using 100 feet of fencing. The quadratic equation A=x(100−2x) gives the area, A , of the dog run for the length, x , of the building that will border the dog run. Find the length of the building that should border the dog run to give the maximum area, and then find the maximum area of the dog run.
Washing his dad’s car alone, eight year old Levi takes 2.5 hours. If his dad helps him, then it takes 1 hour. How long does it take the Levi’s dad to wash the car by himself?
I'm going to guess. Divide Levi's time by 2. Then divide 1 hour by 2. 1.25 + 0.5 = 1.3?
John
I'm guessing this because since I have divide 1 hour by 2, I have to do the same for the 2.5 hours it takes Levi by himself.
John
Drew burned 1,800 calories Friday playing 1 hour of basketball and canoeing for 2 hours. On Saturday, he spent 2 hours playing basketball and 3 hours canoeing and burned 3,200 calories. How many calories did he burn per hour when playing basketball?
Brandon has a cup of quarters and dimes with a total value of $3.80. The number of quarters is four less than twice the number of dimes. How many quarters and how many dimes does Brandon have?
Tickets to a Broadway show cost $35 for adults and $15 for children. The total receipts for 1650 tickets at one performance were $47,150. How many adult and how many child tickets were sold?
Arnold invested $64,000, some at 5.5% interest and the rest at 9%. How much did he invest at each rate if he received $4,500 in interest in one year? How do I do this
easiest way to find the square root of a large number?
Jackie
the accompanying figure shows known flow rates of hydrocarbons into and out of a network of pipes at an oil refinery set up a linear system whose solution provides the unknown flow rates (b) solve the system for the unknown flow rates (c) find the flow rates and directions of flow if x4=50and x6=0
I'm confused by the question. Can you describe or explain the math question it pertains to?
Melissa
there is no math to it because all you use is your vision or gaze to the sorrounding areas
Cesarp
Teegan likes to play golf. He has budgeted $60 next month for the driving range. It costs him $10.55 for a bucket of balls each time he goes. What is the maximum number of times he can go to the driving range next month?
Felecia left her home to visit her daughter, driving 45mph. Her husband waited for the dog sitter to arrive and left home 20 minutes, or 1/3 hour later. He drove 55mph to catch up to Felecia. How long before he reaches her?
Carmen wants to tile the floor of his house. He will need 1,000 square feet of tile. He will do most of the floor with a tile that costs $1.50 per square foot, but also wants to use an accent tile that costs $9.00 per square foot. How many square feet of each tile should he plan to use if he wants the overall cost to be $3 per square foot?
800 sq. ft @ $1.50 & 200 sq. ft @ $9.00
Marco
Geneva treated her parents to dinner at their favorite restaurant. The bill was $74.25. Geneva wants to leave 16 % of the total  bill as a tip. How much should the tip be?
74.25 × .16 then get the total and that will be your tip
David
$74.25 x 0.16 = $11.88
total bill:
$74.25 + $11.88 = $86.13
ericka
yes and tip 16% will be $11.88
David
what is the shorter way to do it
Priam has dimes and pennies in a cup holder in his car. The total value of the coins is $4.21. The number of dimes is three less than four times the number of pennies. How many dimes and how many pennies are in the cup?
Source:
OpenStax, Elementary algebra. OpenStax CNX. Jan 18, 2017 Download for free at http://cnx.org/content/col12116/1.2
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