[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-265042-105":3,"detail-sidebar-cat-0-en-105":85,"doc-detail-265042-en":135},{"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":78,"head_meta":80,"extra_data":82,"updated_unix":84},105,"en","ged-math-number-sense-part-1-learning-objectives","GED - Math - Number Sense - Part 1 - Learning Objectives","","Number Sense Part 1 focuses on core arithmetic and number relationships needed for GED-level math. It develops skills for working with positive and negative numbers, then extends operations to fractions, including adding and subtracting with different denominators using the lowest common denominator. The lesson also explains multiplying and dividing fractions, followed by powers and roots through repeated multiplication and square/cube root meanings. Mixed practice questions reinforce expression evaluation and 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powers and roots in this lesson?",{"text":72,"@type":64},"Powers represent repeated multiplication using exponents, while roots describe the number that produces a specific result when multiplied by itself (e.g., square root or cube root).",{"name":74,"@type":61,"acceptedAnswer":75},"How do you divide fractions?",{"text":76,"@type":64},"Invert the second (bottom) fraction and multiply, using the reciprocal to perform the division.","https://schema.org",{"og:url":32,"og:type":79,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":81,"canonical":32},"index,follow",{"doc_id":83,"site_id":7},265042,1789391920,{"code":4,"msg":86,"data":87},"success",[88,92,96,99,104,109,114,119,124,127,131],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Story & 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lesson, you will be able to:  \n• Apply number sense concepts, including positive and negative numbers, fractions, exponents, and roots.  \n• Add, subtract, multiply, and divide numbers, and use fractions, decimals, exponents and roots.  \nAdding and Subtracting Negative Numbers  \nAdding a negative number is the same as subtracting the positive version of that number.  \n5 + (–3) is the same as 5 – 3 = 2  \nSubtracting a negative number is the same as adding the positive version of that number.  \n7 –(–10) is the same as 7 + 10 = 17  \nAdding and Subtracting Fractions  \nTo add or subtract fractions with different denominators, first establish the lowest common denominator. The lowest common denominator is the least common multiple of the two denominators.  \n 12 􀀎 14 􀀠 ?  lowest common denominator is 4  ~~ ~~12 􀁵 􀂧􀂨􀂩 ~~ ~~22􀂷􀂹􀂸 􀀠 24  \nMultiplying and Dividing Fractions  \nTo multiply fractions, multiply straight across the top and bottom of the fractions:  \n1 3 1􀁵 3 3  \n 􀁵  􀀠  􀀠   \n5 4 5􀁵 4 20  \nTo divide fractions, invert the second (or bottom) fraction and multiply:  \n􀂧  2  􀂷  \n􀂩􀂨 7 􀂹􀂸 2 3 2 5 10  􀀠  􀁹  􀀠  􀁵  􀀠   \n􀂧  3  􀂷 7 5 7 3 21 􀂨 􀂸  \n􀂩5 􀂹  \nMixed Practice  \n1. An expression is shown.  \nA.  \nB.  \nC.  \nD.  \n3   1 􀂧– 3 􀂷  \n5 􀁵 2 􀀎 􀂩􀂨 20 􀂹􀂸  \nSimplify the expression completely.  \n– 3   \n20  \n9  \n200  \n 3   \n20  \n 3   \n10  \nPowers and Roots  \nPowers are a way to show repeated multiplication.  \n5 × 5 can be expressed as “5 raised to the exponent 2” or “5 squared.”The number 5 appears in the multiplication problem two times, so it is written as 52.  \n5 × 5 = 52 = 25  \nRoots are a way to show the number that produces a specific quantity when multiplied by itself.  \nA second (or “square”) root of 25 is the number that, when squared, results in 25.  \n25 = 5􀁵 5 = 5  \n25 = (􀀐5)􀁵 (􀀐5) = 5  \nPowers and Roots  \nPowers can also expand beyond exponents of 2.  \n5 × 5 × 5 can be expressed as “5 raised to the exponent 3” or “5 cubed.”  \nThe number 5 appears in the multiplication problem three times, so it is written as 53.  \n5 × 5 × 5 = 53 = 125  \nYou can also take more than the square root of a number.  \nThe third (or “cube”) root of 125 is a number that, when cubed (raised to the exponent 3), results in 125.  \n125 = 5􀁵 5􀁵 5 =5  \nPowers and Roots  \nA number raised to the exponent 1 equals itself.  \n141 =14 1,3251 =1,325  \n􀂧  1  􀂷 1  1 􀂩􀂨 3 􀂹􀂸 = 3  \nA number other than zero raised to the exponent zero equals 1.  \n􀂧 1 􀂷 0  \n140 =1 1,3250 =1 􀂩􀂨 3 􀂹􀂸 =1  \nA number raised to the negative of an exponent is equal to 1 over that number raised to the exponent.  \n1 􀀐3 1 􀂧 1 􀂷 􀀐2 1 1 32 32 14 􀀐5 = 145  1,325 = 1,3253  􀂩􀂨 3 􀂹􀂸 = 􀂧􀂩􀂨 13􀂷􀂹􀂸 2 = 􀂨􀂧􀂩 ~~ ~~1322~~ ~~ 􀂷􀂹􀂸 = 12 = 1   \nMixed Practice  \n2. Which expression has a value less than zero?  \nA.  \nB.  \nC.  \nD.  \n􀂧  1 􀂷 2 􀂩􀂨 2 􀂹􀂸􀀋 􀀐 􀀌 3  \n2  \n2􀀐3  \n2  \n􀀋 􀀌  \n􀀐2","cbCair9W643MNLL4","https://ap.wps.com/l/cbCair9W643MNLL4","pdf",761221,27,"English","# Learning Objectives\n## Adding and Subtracting Negative Numbers\n## Adding and Subtracting Fractions\n## Multiplying and Dividing Fractions\n## Mixed Practice\n## Powers and Roots","[{\"question\":\"What do you need to know by the end of Number Sense Part 1?\",\"answer\":\"You should be able to apply number sense concepts with positive/negative numbers, fractions, exponents, and roots, and perform addition, subtraction, multiplication, and division involving those number types.\"},{\"question\":\"How do you add or subtract fractions with different denominators?\",\"answer\":\"Find the lowest common denominator, which is the least common multiple of the two denominators, before adding or subtracting the fractions.\"},{\"question\":\"What is the difference between powers and roots in this lesson?\",\"answer\":\"Powers represent repeated multiplication using exponents, while roots describe the number that produces a specific result when multiplied by itself (e.g., square root or cube root).\"},{\"question\":\"How do you divide fractions?\",\"answer\":\"Invert the second (bottom) fraction and multiply, using the reciprocal to perform the division.\"}]","GED - Math - Number Sense - Part 1 - Learning Objectives | PDF",68]