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[Music] welcome to your cohesion classroom in this lesson we will take a look at renaming whole numbers at the end of this video you will have access to our tips and takeaways allowing you to focus on the content being presented you can always access any of our tips and takeaways from the lesson page before or after watching the lesson the purpose of this lesson is to teach students that numbers can be renamed in different ways base 10 blocks or quick sketches of base 10 blocks can create models for students to see the numbers represented in different ways as you can see here the number one thousand four hundred can be represented with the one thousands cube and four hundred flats naming it one thousand four hundred another way it can be renamed is with fourteen hundred flats making one thousand four hundred renamed as fourteen hundreds students can connect the models to a place value chart for a more efficient strategy knowing that each place is 10 times greater than the place to its right students can rename numbers using this place value chart i could rename 43 000 many different ways it could be renamed as forty three thousands four hundred thirty hundredths four thousand three hundred tens or forty three thousand once notice that each time i move one place to the right my number is multiplied by 10. let's begin by using a model to help us rename a number this problem asks us to rename the number two hundreds five tens equals some tens in this problem i noticed to find the answer i'm going to have to use ten rods for my model because the question asked me to rename the number intense i need to ask myself how many tens make up a hundred the answer is ten ten tens makes up one hundred since the problem asks for two hundreds i need ten tens for the first hundred plus ten tens for the second hundred which equals twenty tens altogether but i can't stop there my given problem also says five tens so i'm going to add five tens to the twenty tens i already have twenty plus five equals twenty five tens i can now see that two hundreds and five tens can be represented with twenty five tens so i will rename two hundreds and five tens to twenty-five tens drawing models is a great strategy to develop a strong understanding of the math concept of renaming whole numbers once students understand why renaming works through models they may want to try a more efficient strategy the place value chart let's try one with this now the problem asks us to rename the number using the place value chart sixty-seven ten thousands equals what to fill in the place value chart i need to think to myself how else could i represent sixty-seven ten thousands i know that i can't simply write sixty-seven in the ten...