Representing Numbers to 1000
Description
Vocal Characteristics
Language
EnglishVoice Age
Young Adult (18-35)Accents
North American (General) North American (US General American - GenAM)Transcript
Note: Transcripts are generated using speech recognition software and may contain errors.
thanks for joining this session on representing numbers Toe 1000. A common problem some students have is using base 10 blocks incorrectly and believing that numbers can be represented and named in Onley. One way. Let's go over these ideas using base 10 blocks, number lines and place value charts to show how numbers can be represented. Here are six cubes. Each cube has the value of one, so this shows the number six. We can organize the cubes in a chart. There are six ones. We can also show this on a number line. Here are 23 cubes. This shows the number 23. We can organize the cubes in a chart. There are 23 ones. It is easier to count the cubes when we arrange them. In groups of 10 each group of 10 is called a rod. We can also say that there are two tens and three ones. We can also show this on a number. Line 23 has different names 23 23 ones, two tens and three ones, but all described the same location on the number line. Here are 115 cubes. This shows the number 115 we can organize the cubes in a chart. There are 115 ones we can see there are 11 rots and five cubes and say that this represents 11 tens and five ones. It is easier to count the cubes when we arrange them. In another group of 10 each group of 10 tens is called a flint. We can see there is one flat, one rod and five cubes and say that this represents 100 1 10 and five ones. We can also show this on a number line. 115 has different names. 115 115 ones, 11 tens and five ones, and 101 10 and five ones. But all described the same location on a number line. How do we represent numbers that have zero as one of their digits? Here are 40 cubes, so this shows the number 40. We can organize the cubes in a chart. There are 40 ones. There are 40 cubes, and there are four groups of 10. The number 40 is composed of four tens and zero ones. Zero here represents zero ones. What happens when you come across a three digit number with zero in the middle. Here are 203 cubes. This shows the number 203. We can organize the cubes in a chart. There are 203 ones we can see there are 20 rods and three cubes and say that this represents 20 tens and three ones. We can also regroup the 20 rods into two flats. We can see there are two flats, zero rods and three cubes and say that this represents two hundreds, zero tens and three ones. The digits zero in 203 means there are no tens in the tens column. 203 has different names. 203 203 ones, 20 tens and three ones, and to hundreds, zero tens and three ones. But all described the same location on the number line. We can also represent numbers using expanded form, which means breaking apart or expanding the number by its place value. To show 203 in expanded form, we write the value of each digit in the number 203 is two hundreds, zero tens and three ones or we can write a number in expanded form using just numbers. Each digit in a number tells us its value by hundreds tens and ones reading from left to right, 326 can be written on a place value chart. This means that we can represent this number using three flats, two rods and six cubes. But since each flat is made up of 10 rods, we can also represent 326 with 32 tens and six ones. And since each rod is made up of 10 ones cubes, we can also represent 326 with 326 ones. 326 has different names. 326 three hundreds to tens and six ones, 32 tens and six ones and 326 ones. But all described the same location on the number line, so remember, a number can be represented in different ways. Using base 10 materials and place value charts. These representations can also have different names, but they all represent the same location on a number line. Thanks for watching and make sure to post any questions you may have