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PLACE VALUE & ESTIMATION
LEARNING GOAL:
We are learning to understand the place value of and represent numbers up to the billions.
OBJECTIVES:
You will be tested on:
1) Naming the place values.
2) Finding the value of a digit.
3) Representing numbers in standard, word, and expanded form.
4) Comparing, ordering, and changing numbers.
WE ARE ALSO LEARNING HOW TO:
5) Estimate big numbers using the rounding strategy.
6) Complete a word problem involving big numbers using estimation.
Helpful Videos
Rounding Big Numbers
Reading Big Numbers
Comparing Big Numbers
Standard form (how you write it): 568,903,214,730
Word form (how you say it): Five hundred sixty-eight billion, nine hundred three million, two hundred fourteen thousand, seven hundred thirty
Expanded form (how you break it down): 500,000,000,000 + 60,000,000,000 + 8,000,000,000 + 900,000,000 + 3,000,000 + 200,000 + 10,000 + 4,000 + 700 + 30
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What is the name of the place value of the digit 9?
hundred millions
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What is the value of the digit 2?
200,000 (or 2 X 1 hundred thousand)
Expanded Form
Helpful Links
ESTIMATION AND ROUNDING
Estimating is when you use your knowledge of numbers to make a close guess on the amount or value of something.
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Rounding is a form of estimating where you change a number to a close by number that is easier to work with (usually to a particular place value).
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SOLVING WORD PROBLEMS
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Winnipeg has a population of 705,391. Brandon has a population of 48, 971. What is their total estimated population?
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Step 1: Round both numbers.
705, 391 ---> 700,000
48,971 ---> 50,000
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Step 2: Choose the operation and solve using mental math.
700,000+50,000 = 750,000
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Step 3: Write a sentence.
They have a total population of 750,000.
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