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Multiplying with Multi-digit problems I can multiply multi-digit whole numbers. I can use a lattice to solve multi-digit multiplication problems. Essential Questions What are whole numbers? How do we multiply multi-digit numbers? What is a place holding zero? When should you use a place holding zero? What is estimation? How should you use it to determine the reasonableness of your answer? What is estimation? Why should you use it to determine the reasonableness of your answer? Review Time! Please get out your slates in 10...9...8... On your slate, please solve this problem using the standard method. (Remember Turtle Head Method ) 34 x 23 Hopefully you said... 782 Another way to look at it... this is a lattice. You need to remember to take your time! There are a lot of steps, and it can be confusing. Tens 2 Ones 3 To check your work! Tens Ones 3 4 20 x 30 600 20 x 4 80 To check your work! + = + + + 30 x 3 4x3 + 90 12 = = = = = 782 + 600 + 80 = 680 90 + 12 = 102 600 + 90 = 690 80 + 12 = 92 Let’s try another, together using a lattice. You need to remember to take your time! There are a lot of steps, and it can be confusing. Tens 2 Ones 9 To check your work! Tens Ones 7 1 20 x 70 1400 20 x 1 20 To check your work! 1400 + 20 = 1420 + = + + + 70 x 9 1x9 + = 630 9 = = = = 2059 + 630 + 9 = 639 1400 + 630 = 2030 20 + 9 = 29 Your turn! Then we will go over it together. You need to remember to take your time! There are a lot of steps, and it can be confusing. Tens 4 Ones 3 To check your work! Tens Ones 3 9 40 x 30 1200 40 x 9 360 To check your work! 1200 + 360 = 1560 + = + + + 30 x 3 9x3 + 90 27 = = = = = 1677 + 90 + 27 = 117 1200 + 90 = 1290 360 + 27 = 387 Each student needs 12 pencils. If there are 24 students in a class, how many do we need in all? Now that you are pros... Let’s try a word problem :) You need to remember to take your time! There are a lot of steps, and it can be confusing. Tens 1 Ones 2 To check your work! Tens Ones 2 4 20 x 10 200 40 x 1 40 To check your work! 200 + 40 = 240 + = + + + 20 x 2 4x2 + = 40 8 = = = = 288 + 40 + 8 = 48 200 + 40 = 240 40 + 8 = 48 Closure Please write on your slates how the lattice is a helpful tool.