Using Partial Products to Multiply Whole Numbers 5

Using Partial Products to Multiply Whole Numbers 5. NBT. B. 5

Using Partial Products to Multiply Whole Numbers 18 × 13 Let’s Multiplying begin two by looking numbers at athat picture are each that greater shows 18 than x 13. 10 requires some new strategies.

Using Partial Products to Multiply Whole Numbers 10 18 8 10 13 3 + 100 80 30 24 234 This What To So, … 18 13 10 100 80 30 24 234 Weby Now, is + show find can 234 8 array 3 equal let’s is 13 the is also 10 8 the squares. 18 xthe multiply measures xtotal to 3? 10? sum x 10? 3? decompose 13, … product number of here the 100 18 is of parts +squares of a 18 80 large squares, and +of 30 the array 13. 13 … + 24? picture. into we ofsmaller can squares. Then multiply numbers, we can 18 by add and 13. those then parts multiply together. those numbers.

Using Partial Products to Multiply Whole Numbers 18 × 13 = 234 13 × 18 = 234 234 ÷ 18 = 13 18 Since … We And, is we also equal 234 also weknow divided know to 234. 13. 18. that by … 234 18 13 13 xdivided … x 13 18……by 18 … 13 234 ÷ 13 = 18

Using Partial Products to Multiply Whole Numbers 17 × 15 Here is 17 x 15. Let’s look at a picture that shows 17 x 15.

Using Partial Products to Multiply Whole Numbers 10 17 7 10 15 + 5 100 70 50 35 255 What So, This To … 17 15 10 100 70 50 35 255 Weby Now, is + show find can 255 7 array 5 equal let’s is 15 the is also 10 the 7 squares. 17 xthe multiply measures xtotal to 5? 10? sum x 10? decompose 5? 15, … product number of here the 100 17 is of parts +squares of a 17 70 large squares, and +of 50 the array 15. 15 … + 35? picture. into we ofsmaller can squares. Then multiply numbers, we can 17 by add and 15. those then parts multiply together. those numbers.

Using Partial Products to Multiply Whole Numbers 17 × 15 = 255 15 × 17 = 255 255 ÷ 17 = 15 17 Since … 255 And, is we divided equal 255 also we divided know toby 255. 15. 17 that by … … 17 15 15 x… x 15 17…… 15 255 ÷ 15 = 17

Using Partial Products to Multiply Whole Numbers 19 × 14 Here is 19 x 14. Let’s look at a picture that shows 19 x 14.

Using Partial Products to Multiply Whole Numbers 10 19 9 10 14 4 + 100 90 40 36 266 What So, This To … 19 14 10 100 90 40 36 266 Weby Now, is + show find can 266 9 array 4 equal let’s is 14 the is also 10 9 the squares. 19 xthe multiply measures xtotal to 4? 10? sum x 10? 4? decompose 14, … product number of here the 100 19 is of parts +squares of a 19 90 large squares, and +of 40 the array 14. 14 … + 36? picture. into we ofsmaller can squares. Then multiply numbers, we can 19 by add and 14. those then parts multiply together. those numbers.

Using Partial Products to Multiply Whole Numbers 19 × 14 = 266 14 × 19 = 266 266 ÷ 19 = 14 19 Since … 266 And, is we divided equal 266 also we divided know toby 266. 14. 19 that by … … 19 14 14 x… x 14 19…… 14 266 ÷ 14 = 19

Using Partial Products to Multiply Whole Numbers 38 × 23 Here is 38 x 23.

Using Partial Products to Multiply Whole Numbers 3038 20 23 3 8 + To What So, On … 38 30 23 20 600 160 90 24 874 This Now, so by is + show the 874 8 shows 3 equal let’s is 23. that sketch, is 30 8 the 38 xwe the multiply xto 3? 20 sum x 38 20? 3? can 23, … product ? … let’s of here decompose the 600 draw is of parts +a 38 160 two sketch. and of +lines each the 90 23. +picture. … number. 24? Then we can add those parts together. 600 160 90 24 874

Using Partial Products to Multiply Whole Numbers 38 × 23 = 874 23 × 38 = 874 874 ÷ 38 = 23 38 Since … 874 And, is we divided equal 874 also we divided know toby 874. 23. 38 that by … … 38 23 23 x… x 23 38…… 23 874 ÷ 23 = 38

Using Partial Products to Multiply Whole Numbers 56 × 82 Here is 56 x 82.

Using Partial Products to Multiply Whole Numbers 5056 80 82 2 6 + 4, 000 480 100 12 4, 592 To What So, On … 56 50 82 80 4, 000 480 100 12 4, 592 This Now, so by is + show the 4, 592 6 shows 2 equal let’s is 82. that sketch, 50 6 the 56 is xwe multiply xto 2? 80? sum x 56 the 80? 2? can 82, …… let’s product of here decompose the 4, 000 draw is parts of a+two sketch. 56 480 oflines and each + the 100 82. picture. … number. + 12? Then we can add those parts together.

Using Partial Products to Multiply Whole Numbers Closing Question

Using Partial Products to Multiply Whole Numbers 75 × 64 Here is 75 x 64.

Using Partial Products to Multiply Whole Numbers 7075 60 64 4 5 + 4, 200 300 280 20 4, 800 To What So, On … 75 70 64 60 4, 200 300 280 20 4, 800 This Now, so by is + show the 4, 800 5 shows 4 equal let’s is 64. that sketch, 70 5 the 75 is xwe multiply xto 4? 60? sum x 75 the 60? 4? can 64, …… let’s product of here decompose the 4, 200 draw is parts of a+two sketch. 75 300 oflines and each + the 280 64. picture. … number. + 20? Then we can add those parts together.