Multi-Digit Whole Numbers 4.NBT.2 Read, Write & Compare Multi-Digit Whole Numbers Grade 4 CCSS Aligned PowerPoint www.elementaryallinonemath.com

4.NBT.2PPT Place Value – Reading and Writing multi-digit whole numbers We know that numbers can be written in number form OR standard form… We can also write 6,765 using words OR word form … 6,765 We say this number as 6 (1000) 7(100) 65 It is written … Six thousand, seven hundred sixty-five 1000 100 10 1 6 7 5 www.elementaryallinonemath.com

Place Value – Reading and Writing multi-digit whole numbers 4.NBT.2PPT Place Value – Reading and Writing multi-digit whole numbers Another way to read and write our numbers is using Base-10 blocks. Each block as you know has a value and once we understand these values we can start creating numbers. Can you see the pattern? Isn’t 10 an amazing number! We need 10 hundreds to make a “block” or a Base 1000. We need 10 tens to make a “flat” or a Base 100. We need 10 ones to make a “long” or a Base 10. www.elementaryallinonemath.com

Here is the number 6,575 Thousands Hundreds Tens Ones 4.NBT.2PPT Here is the number 6,575 Thousands Hundreds Tens Ones www.elementaryallinonemath.com

So let’s investigate 6,575 further … 4.NBT.2PPT So let’s investigate 6,575 further … Thousands Hundreds Tens Ones www.elementaryallinonemath.com 6 block OR 6 x 1,000 is 6,000 6 x 1,000 = 6,000 5 flats OR 5 x 100 is 500 5 x 100 = 500 7 longs OR 7 x 10 is 70 7 x 10 = 70 5 ones OR 5 x 1 is 5 5 x 1 = 5 6,000 + 500 + 70 + 5

4.NBT.2PPT This expression of 6,575 is called expanded form. 6,000 + 500 + 70 + 5 Expanded form helps us to see what value each number has. It shows us “how many units” in each number. 6,000 500 70 5 6,575 + Thousands Hundreds Tens Ones All the numbers added together www.elementaryallinonemath.com

two hundred thirty-four 1000 + 200 + 30 + 4 4.NBT.2PPT So we have looked at numbers in 3. in Base 10 form Standard form … 1,234 Thousands Hundreds Tens Ones 1. 2. Word form One thousand, two hundred thirty-four And in Expanded form 1000 + 200 + 30 + 4 4. Now we are going to move on and compare numbers using one or more of these expressions. www.elementaryallinonemath.com

Comparing 2 numbers using symbols 4.NBT.2PPT Comparing 2 numbers using symbols This symbol is Greater Than. Imagine a big mouth eating. The big part is facing the largest number. 673 > 573 < This symbol is the Equals. Which means both numbers have of the same value. 345 = 345 < < 405 < 415 This symbol is Less Than. This symbol points to the smaller number. www.elementaryallinonemath.com

Comparing 2 numbers using symbols 4.NBT.2PPT The 6 in 673 is 100 more than the 5 in 573. Here both numbers have the same value. The 0 in 405 is 10 less than the 1 in 415. < E.g. 673 > 573 OR 345 = 345 OR 405 < 415 < Therefore we use the Greater Than symbol. Both can be expanded to 300 + 40 + 5 Therefore we use the Less Than symbol. www.elementaryallinonemath.com

> 1,235,711 123,571 How to Compare 2 Numbers 4.NBT.2PPT How to Compare 2 Numbers Because in grade 4 we learn to read large numbers, it is good to have hints to help understand how to comparing two numbers. Hint #1: 1st good thing to do is count your digit. The number 1,235,711 has 7 digits and the number 123,571 has 6 digits therefore the 2nd number is automatically smaller. > 1,235,711 123,571 1 2 3 4 5 6 1 2 3 4 5 6 7 7 digits 6 digits www.elementaryallinonemath.com

4.NBT.2PPT Now if the new numbers you are comparing have the same number of digits. We go to hint # 2.  E.g. New number 6,740,891 3,640,891 1 2 3 4 5 6 7 1 2 3 4 5 6 7 Hint #2: We start looking at the digit that is the furthest to the left for both numbers . Are they the same? No! One is a 6 & the other is a 3 So … we look to see which number has the the greater value. i.e 6,000,000 is greater than 3,000,000. Therefore … > 6,740,891 3,640,891 www.elementaryallinonemath.com

4.NBT.2PPT Now if the new numbers you are comparing have the same number of digits and the furthest digit is of the same value. We go to hint # 3.  E.g. New number 6,740,891 6,540,891 Same number! 1 2 3 4 5 6 7 1 2 3 4 5 6 7 Hint #3: If the furthest digit is the same then you look at the next number, to the right and 6,740,891 6,540,891 again compare which one has the greater value. i.e. 6,700,000 is greater in value than 6,500,000. > www.elementaryallinonemath.com

4.NBT.2PPT Last one! Now if the new numbers you are comparing have the same number of digits and the digits to the left are of the same value. We go to hint # 4.  E.g. New number 6,740,791 6,740,891 Same number! 1 2 3 4 5 6 7 1 2 3 4 5 6 7 Hint #4: The fourth hint is that you need to continue checking the value of the numbers all the way down until you come to the digit that is different. i.e. 6,740,700 is less than 6,740,800 6,740,791 6,740,891 < Happy comparing!  www.elementaryallinonemath.com

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