{"id":24747,"date":"2025-06-18T18:11:23","date_gmt":"2025-06-18T18:11:23","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=24747"},"modified":"2025-06-18T18:11:25","modified_gmt":"2025-06-18T18:11:25","slug":"model-the-following-addition-problem-using-the-base-ten-blocks","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/model-the-following-addition-problem-using-the-base-ten-blocks\/","title":{"rendered":"Model the following addition problem using the base ten blocks"},"content":{"rendered":"\n<p>Model the following addition problem using the base ten blocks. Draw out all base ten blocks, clearly show all trades and include an answer to the problem. (5 points) 394 + 148 How many trades?<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"240\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-9.png\" alt=\"\" class=\"wp-image-24752\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-9.png 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-9-300x70.png 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-9-768x180.png 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-green-cyan-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-10-1024x683.png\" alt=\"\" class=\"wp-image-24774\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-10-1024x683.png 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-10-300x200.png 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-10-768x512.png 768w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/image-10.png 1536w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">Step 1: Representing Each Number with Base Ten Blocks<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>394<\/strong> consists of 3 hundreds blocks, 9 tens blocks, and 4 ones blocks.<\/li>\n\n\n\n<li><strong>148<\/strong> consists of 1 hundred block, 4 tens blocks, and 8 ones blocks.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 2: Adding the Blocks<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Combine the hundreds: 3 + 1 = 4 hundreds blocks.<\/li>\n\n\n\n<li>Combine the tens: 9 + 4 = 13 tens blocks.<\/li>\n\n\n\n<li>Combine the ones: 4 + 8 = 12 ones blocks.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Step 3: Trading Excess Blocks<\/h3>\n\n\n\n<ol start=\"1\" class=\"wp-block-list\">\n<li><strong>Trade ones<\/strong>: Since there are 12 ones, we trade 10 ones for 1 ten block, leaving 2 ones.<\/li>\n\n\n\n<li><strong>Trade tens<\/strong>: Now we have 14 tens blocks (13 from before plus 1 from the ones trade). We trade 10 tens for 1 hundred block, leaving 4 tens.<\/li>\n\n\n\n<li><strong>Final count<\/strong>: 5 hundreds blocks, 4 tens blocks, and 2 ones blocks.<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Answer: <strong>394 + 148 = 542<\/strong><\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Number of Trades: <strong>2 trades<\/strong> (one for ones, one for tens)<\/h3>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>Base ten blocks help visualize addition by grouping values. The process ensures correct place value representation and simplifies carrying operations. First, numbers are modeled using blocks representing hundreds, tens, and ones. When added, excess values in smaller units are traded for higher units. In this case, 12 ones required trading 10 for one ten, and 14 tens required trading 10 for one hundred. The final sum, 542, is obtained after these adjustments. This method reinforces foundational arithmetic and enhances numerical comprehension.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"852\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-14.jpeg\" alt=\"\" class=\"wp-image-24770\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-14.jpeg 852w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-14-250x300.jpeg 250w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-14-768x923.jpeg 768w\" sizes=\"auto, (max-width: 852px) 100vw, 852px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Model the following addition problem using the base ten blocks. Draw out all base ten blocks, clearly show all trades and include an answer to the problem. (5 points) 394 + 148 How many trades? The Correct Answer and Explanation is: Step 1: Representing Each Number with Base Ten Blocks Step 2: Adding the Blocks [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-24747","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24747","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=24747"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24747\/revisions"}],"predecessor-version":[{"id":24787,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/24747\/revisions\/24787"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=24747"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=24747"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=24747"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}