[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-480352-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-480352-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","using-distributive-property-answer-key","Using Distributive Property - Answer Key","","Worksheet answer key for solving multiplication problems using the distributive property. It provides a worked example demonstrating how to rewrite a product as a sum of partial products, then uses the same method for multiple numbered items. Each solution shows a decomposition into factors, the corresponding intermediate products, and the final results listed in an answers section. 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Ex) 17 × 4 = (8 × 4) + (  9  × 4 ) =\u003Cbr>32 + 36  68 \u003Cbr>1) 7 × 17 = (7 × 9) + ( 7 ×   ) =\u003Cbr>+  \u003Cbr>2) 16 × 8 = (9 × 8) + (   × 8 ) =\u003Cbr>+  \u003Cbr>3) 9 × 15 = (9 × 9) + ( 9 ×   ) =\u003Cbr>+  \u003Cbr>4) 4 × 14 = (4 × 9) + ( 4 ×   ) =\u003Cbr>+  \u003Cbr>5) 4 × 14 = (4 × 6) + ( 4 ×   ) =\u003Cbr>+  \u003Cbr>6) 6 × 18 = (6 × 8) + ( 6 ×   ) =\u003Cbr>+  \u003Cbr>7) 13 × 3 = (3 × 3) + (   × 3 ) =\u003Cbr>+  \u003Cbr>8) 14 × 8 = (6 × 8) + (   × 8 ) =\u003Cbr>+  \u003Cbr>9) 9 × 15 = (9 × 9) + ( 9 ×   ) =\u003Cbr>+  \u003Cbr>10) 5 × 14 = (5 × 7) + ( 5 ×   ) =\u003Cbr>+\u003Cbr>|  |  |  |  | Answers\u003Cbr>Ex.  68 \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \nUsing Distributive Property  \nName: Answer Key  \n\n| Use the distributive property to solve each problem. Ex) 17 × 4 = (8 × 4) + (  9  × 4 ) =\u003Cbr>32 + 36  68 \u003Cbr>1) 7 × 17 = (7 × 9) + ( 7 ×  8  ) =\u003Cbr>63 + 56  119  |  |  |  |  |  |  |  |  |  |  |  |  | Answers Ex.  68  1.  119  2.  128  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | 16 × 8 | = | (9 × 8)\u003Cbr>72 | +\u003Cbr>+ | (  7  × 8\u003Cbr>56 |  | ) | =\u003Cbr> 128  |  |  |  |  | 3.  135  4.  56  |  |  |  |  |  |\n| 3) | 9 × 15 | = | (9 × 9)\u003Cbr>81 | +\u003Cbr>+ | ( | 9 ×  6 \u003Cbr>54 | ) | =\u003Cbr> 135  |  |  |  |  | 5.  56  6.  108  |  |  |  |  |  |\n| 4) | 4 × 14 | = | (4 × 9)\u003Cbr>36 | +\u003Cbr>+ | ( | 4 ×  5 \u003Cbr>20 | ) | =\u003Cbr> 56  |  |  |  |  | 7.  39  |  |  |  |  |  |\n| 5) | 4 × 14 | = | (4 × 6)\u003Cbr>24 | +\u003Cbr>+ | ( | 4 ×  8 \u003Cbr>32 | ) | =\u003Cbr> 56  |  |  |  |  | 8.  112  9.  135  |  |  |  |  |  |\n| 6) | 6 × 18 | = | (6 × 8)\u003Cbr>48 | +\u003Cbr>+ | ( | 6 ×  10 \u003Cbr>60 | ) | =\u003Cbr> 108  |  |  |  |  | 10.  70  |  |  |  |  |  |\n| 7) | 13 × 3 | = | (3 × 3)\u003Cbr>9 | +\u003Cbr>+ | ( |  10  × 3\u003Cbr>30 | ) | =\u003Cbr> 39  |  |  |  |  |  |  |  |  |  |  |\n| 8) | 14 × 8 | = | (6 × 8)\u003Cbr>48 | +\u003Cbr>+ | ( |  8  × 8\u003Cbr>64 | ) | =\u003Cbr> 112  |  |  |  |  |  |  |  |  |  |  |\n| 9) | 9 × 15 | = | (9 × 9)\u003Cbr>81 | +\u003Cbr>+ | ( | 9 ×  6 \u003Cbr>54 | ) | =\u003Cbr> 135  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 5 × 14 | = | (5 × 7)\u003Cbr>35 | +\u003Cbr>+ | ( | 5 ×  7 \u003Cbr>35 | ) | =\u003Cbr> 70  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  |  |  |  |  |  |  |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 10)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 10)[ 10](Math www.CommonCoreSheets.com 10)  \nUsing Distributive Property  \nName:  \n\n| Use the distributive property to solve each problem. |  |  |  | Answers\u003Cbr>Ex.  68 \u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 108135\u003Cbr>128119\u003Cbr>3956\u003Cbr>56 |  |  |  |  |  |  |  |  |  |\n| Ex) 17 × 4 = (8 × 4) + (  9  × 4 )\u003Cbr>32 + 36\u003Cbr>1) 7 × 17 = (7 × 9) + ( 7 ×   )+\u003Cbr>2) 16 × 8 = (9 × 8) + (   × 8 )+\u003Cbr>3) 9 × 15 = (9 × 9) + ( 9 ×   )+\u003Cbr>4) 4 × 14 = (4 × 9) + ( 4 ×   )+\u003Cbr>5) 4 × 14 = (4 × 6) + ( 4 ×   )+\u003Cbr>6) 6 × 18 = (6 × 8) + ( 6 ×   )+\u003Cbr>7) 13 × 3 = (3 × 3) + (   × 3 )+ | =\u003Cbr>68 |  |  |  |  |  |  |  |  |\n|  | =\u003Cbr>=\u003Cbr>=\u003Cbr>=\u003Cbr>=\u003Cbr>=\u003Cbr>= | |  |  |  |  |  |  |  |\n| 1-7 |  |  | 86 | 71 | 57 | 43 | 29 | 14 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n10","cbCaihlMimoELkVk","https://ap.wps.com/l/cbCaihlMimoELkVk","pdf",45911,"English","# Using Distributive Property\n## Example\n## Problems 1-10\n## Answers","[{\"question\":\"What method does the worksheet use to solve the multiplication problems?\",\"answer\":\"It uses the distributive property to rewrite products as sums of partial products.\"},{\"question\":\"Is there an example to demonstrate the process?\",\"answer\":\"Yes. The document includes an example showing how to expand a multiplication expression into added products and then sum them.\"},{\"question\":\"How do students verify their work?\",\"answer\":\"The sheet includes an Answer Key section listing the final results for each numbered problem.\"}]","Using Distributive Property - Answer Key | PDF",1790794853]