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PLACE VALUE TO MILLIONS
This document provides instruction on numeracy goals and skills up to millions place value. It includes goals for reading and writing numbers, place value, comparing and ordering numbers, addition and subtraction of multiples of powers of 10, multiplication and division by 10, 100 and 1000, estimating quantities and positioning numbers on a number line, and rounding to the nearest 1000 or 100. Sample exercises are provided to practice skills like identifying place values, adding and subtracting multiples of powers of 10 mentally, and rounding numbers. Key vocabulary and concepts covered include place value, standard form versus expanded form, and estimating quantities.
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Goals for students to read and write whole numbers, understanding place value up to millions.
Introduction of key terms related to numbers and differentiating between standard and expanded forms.
Detailed explanation of place values in numbers with a focus on 6,495,784 to illustrate counting.
Exercises aimed at identifying specific digits in given numbers at various place values.
Approaches to problem solving and additional exercises for comprehension.
Mental math techniques for adding and subtracting multiples of powers of 10 with examples.
Strategies for multiplying and dividing numbers mentally by 10, 100, and 1000.
Technique for estimating numbers and their placement on a numerical line.
Value of estimating quantities, saving money and time in practical scenarios.
Instructions and exercises on rounding whole numbers to the nearest 1000 or 100.
Wishes for a wonderful rest of the day to conclude the presentation.
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PLACE VALUE TO MILLIONS
- 1. GOAL 1 T HE S T U D E N T W I L L B E A B L E T O R E A D A N D W R I T E W H O L E N U M B E R S I N F I G U R E S A N D W O R D S A N D K N O W W H AT E A C H D I G I T R E P R E S E N T S .
- 2. GOAL 1 PLACEVALUE TO MILLIONS COMPARING AND ORDERING NUMBERS, NUMBER NAMES ADDING AND SUBSTRACTING MENTALLY MULTIPLES OF POWERS OF 10 MULTIPLIYING AND DIVIDING MENTALLY BY 10,100 AND 1000 ESTIMATING AND POSITIONING NUMBERS ON A 0-10 000 AND 0-1000 LINE ESTIMATING QUANTITIES ROUNDING TO THE NEAREST 1000 OR 100
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- 4. STANDARD FORM VS.EXPANDED FORM
- 5. PLACE VALUE TOMILLIONS IDENTIFYING PLACE VALUE Numbers, such as 6,495,784 have seven digits. Each digit is a different place value. The first digit is called the millions' place value. There are six millions in the number 6,495,784. The second digit tells you how many sets of one hundred thousand are in the number. The number 6,495,784 has four hundred thousands. The third digit is the ten thousands' place. There are nine ten thousands The fourth digit is the one thousands' place In this example is five The fifth digit is the hundreds' place In this example is seven The next digit is the tens' place. In this example is eight The last or right digit is the ones' place In this example is four
- 6. There are … •Six sets of 1,000,000 • Four sets of 100,000 • Nine sets of 10,000 • Five sets of 1000 • Seven sets of 100 • Eight sets of 10 • 4 ones 6,495,784 Therefore
- 7. PLACE VALUE TOMILLIONS
- 8. EXERCISES TO PRACTICE Question-1:In this number 5,458 . What number is in the tens place? Question-2: In this number 12,802 . What number is in the hundreds place? Question-3: In this number 359.210 . What number is in the thousandths places? Question-4: In this number 3,768,574. What number is in the millions place?
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- 15. LET´S PRACTICE INCLASS…
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- 17. ADDING/SUBSTRACTING MENTALLY MULTIPLES OFPOWERS OF 10
- 18. ADDING/SUBSTRACTING MENTALLY MULTIPLES OFPOWERS OF 10
- 19. ADDING/SUBSTRACTING MENTALLY MULTIPLES OFPOWERS OF 10 When the number that we are adding is a multiple of 1000… In case of substracting a multiple of powers of 10…
- 20. EXAMPLES ADDING/SUBSTRACTING MULTIPLES OFPOWERS OF 10… EXERCISES TO PRACTICE
- 21. MULTIPLYING/DIVIDING MENTALLY BY 10,100, 1000
- 22. PRACTICING IN THECLASSROOM
- 23. PRACTICING IN THECLASSROOM
- 24. ESTIMATING AND POSITIONINGNUMBERS ON A 0-10 000 AND 0-1000 LINE
- 25. ESTIMATING AND POSITIONING NUMBERSON A 0-10 000 AND 0-1000 LINE
- 26. ESTIMATING QUANTITIES Estimating isan important part of mathematics and a very handy tool for everyday life. Get in the habit of estimating amounts of money, lengths of time, distances, and many other physical quantities. In mathematics we often stress getting an exact answer. But in everyday life a few cents here or there are not going to make much difference ... you should focus on the dollars! Estimation is ... ... finding a number that is close enough to the right answer. You are not trying to get the exact right answer What you want is something that is good enough (usually in a hurry!)
- 27. Estimation can saveyou money. Always do a quick estimation of how much you should pay: Example: you want to buy five magazines that cost $1.95 each. When you go to buy them the cost is $12.25. Is that right? "five at $1.95 each is about 5 times 2, or about $10" so $12.25 seems too much! Ask to have the total checked. ESTIMATING QUANTITIES
- 28. Estimation can saveyou time (when the calculation does not have to be exact): Example: You want to plant a row of flowers. The row is 58.3cm long. The plants should be 6cm apart. How many do you need? "58.3 is nearly 60, and 60 divided by 6 is 10, so 10 plants should be enough." Estimation can save you from making mistakes with your calculator: Example: You are calculating 107 times 56, and the calculator shows this: 952.00 Is that right? "107 times 56 is a bit more more than 100 times 50, which is 5,000" Ooops! you must have typed something wrong ... ... in fact you pressed 17×56 (you left out the zero), and without estimating you could have made a really big mistake! ESTIMATING QUANTITIES
- 29. To round offwhole numbers: Find the place value you want (the "rounding digit") and look to the digit just to the right of it. If that digit is less than 5, do not change the "rounding digit" but change all digits to the right of the "rounding digit" to zero. If that digit is greater than or equal to 5, add one to the rounding digit and change all digits to the right of the rounding digit to zero. ROUNDING TO THE NEAREST 1000/100
- 30. ROUNDING TO THENEAREST 1000/100 • EXERCISES TO PRACTICE
- 31. HAVE A WONDERFULREST OF DAY