Read, Write & Compare Multi-Digit Whole Numbers Grade 4 4.NBT.2PP T 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 7 65 (1000) (100) It is written … Six thousand, seven hundred sixty-five 1000 100 10 1 6 7 6 5 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. 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. 4.NBT.2PPT Here is the number 6,575 Thousands Hundreds Tens Ones 5 x 1 is 5 5x1=5 4.NBT.2PP T So let’s investigate 6 , 5 7 5 further … Thousands Hundreds 6 block 5 flats OR OR 6 x 1,000 is 5 x 100 is 500 6,000 5 x 100 = 500 6 x 1,000 = 6,000 6,000 + 500 Tens Ones 7 longs OR 7 x 10 is 70 7 x 10 = 70 + 70 + 5 This expression of 6,575 is called expanded form. 6,000 6,000 500 70 + 5 6,575 + 500 + Thousands Hundreds Tens Ones All the numbers added together 70 + 5 Expanded form helps us to see what value each number has. It shows us “how many units” in each number. 4.NBT.2PP T So we have looked at numbers in 1. 2. Standard form … 1,234 Word form One thousand, two hundred thirty-four 4.NBT.2PPT 3. in Base 10 form Thousan Hundreds ds Tens Ones 4. And in Expanded form 1000 + 200 + 30 + 4 Now we are going to move on and compare numbers using one or more of these expressions. < < Comparing 2 numbers using symbols 673 > 573 This symbol is Greater Than. Imagine a big mouth eating. The big part is facing the largest number. < < This symbol is the Equals. Which means both numbers345 = 345 have of the same value. 405 < 415 This symbol is Less Than. This symbol points to the smaller number. 4.NBT.2P PT Comparing 2 numbers using symbols E.g. Here both numbers have the same value. The 0 in 405 is 10 less than the 1 in 415. < < The 6 in 673 is 100 more than the 5 in 573. 4.NBT.2PP T OR < Therefore we use the Greater Than symbol. Both can be expanded to 300 + 40 + 5 345 = 345 < 673 > 573 OR 405 < 415 Therefore we use the Less Than symbol. 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 1 2 3 4 5 7 digits 6 7 > 123,571 1 2 3 4 5 6 6 digits 4.NBT.2PP T 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 3,640 Hint #2: We start looking at the digit that is the furthest to the both numbers . 6,740 Are they the same? a3 > for 3,640 No! One is a 6 & the other is So … we look to see which number has the the greater value. i.e 6,000 is greater than 3,000. Therefore … 4.NBT.2PP T 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 6,540 Hint #3: If the furthest digit is the same then you look at the next number, to the right and 6,740 6,540 again compare which one has the greater value. i.e. 6,700is greater in value than 6,500. 6,740 > 6,540 4.NBT.2PP T 4.NBT.2PP T 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. Same number! E.g. New number 6,791 6,891 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. 6,700 is less than 6,800 6,791 < 6,891 Happy comparing!