Use Place Value to Communicate
In this chapter you will learn to:
- Find patterns in numbers
- Read and write and identify place value of whole numbers to ten thousands.
- Compare and order whole numbers through ten thousands.
- Round whole numbers up to the nearest thousand.
- Use the four-step plan to solve problems.
- Find the value of coins and bills
digit -a symbol used to write numbers. pattern -a sequence of numbers, figures, or symbols that follows a rule or design.
Place value -the value given to a digit by its place in a number
For example: In 5,349 the 3 is in the hundreds place and has a value of 300.
Period- group of three digits separated by commas
Each place is tens times as big as the place to its right. For example:
Standard form -a number written in numbers
For example: 34,567
Word name-a number written in words
For example: thirty four thousand, five hundred sixty seven
Expanded notation -the number written as the amount of each place value added together
For example: 30,000 + 4,000 + 500 + 60 + 7
< (is less than), = (is equal to ), and > (is greater than) -symbols used when we compare amounts
You can also use place value blocks to create a number. For example:
For example: 65,763 > 43,836
When you compare numbers you start all the way to the left in the highest place value. A good strategy to help you is if you turn a piece of lined paper sideways and use the lines to help you line up the numbers. Also, think of an alligator eating the bigger number.
Rounding means to change the value of a number to one that is easier to work with. Rounded numbers end in one or more zeroes. To round a number, underline the place you want to round to. Look at the place to the right. If the digit is 5 or more, raise the score of the underlined number. If it is 5 or less, give the underlined number a rest and keep it the same. Put zeroes in the places to the right of the underlined number.
For example: 37 is rounded to 40 because the 7 to the right of the 3 is more than five. 21 is rounded to 20 because the 1 to the right of the 2 is less than 5.
A bill is paper money. A dollar is a unit of money that is equal to 100 cents or $1.00.