{"id":245584,"date":"2024-10-21T16:00:54","date_gmt":"2024-10-21T08:00:54","guid":{"rendered":"https:\/\/thepiquelab.com\/blog\/?p=245584"},"modified":"2024-09-25T12:25:23","modified_gmt":"2024-09-25T04:25:23","slug":"estimation-approximation-how-to-estimate-using-given-information","status":"publish","type":"post","link":"https:\/\/thepiquelab.com\/blog\/estimation-approximation-how-to-estimate-using-given-information\/","title":{"rendered":"Estimation & Approximation: How To Estimate Using Given Information"},"content":{"rendered":"

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Introduction<\/strong><\/p>\n

Welcome back to another Secondary 1 Math blog post on the topic of Estimation & Approximation<\/a>.<\/p>\n

In this blog post, I am going to teach you how to solve Math word problems involving square roots and cube roots of numbers.<\/p>\n

To solve these questions, we cannot use a calculator and can only rely on the information given in the table.<\/p>\n

<\/p>\n

<\/p>\n\n

Let’s Take A Look At This Estimation & Approximation Question<\/span><\/h2>\n

\"The<\/p>\n

Some of you may already be overwhelmed by the information given in the table. Some might be asking, \u201cTeacher, which one do I use?\u201d<\/p>\n

Don\u2019t panic and just keep on reading because I will guide you through each question part.<\/p>\n

<\/p>\n

<\/p>\n

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Read Also:<\/h3>\n
    \n
  1. Estimation & Approximation: Using A Number Line For Rounding Word Problems<\/b><\/a><\/li>\n
  2. Algebra: How To Simplify Algebraic Fractions<\/strong><\/a><\/li>\n<\/ol>\n<\/div>\n

    <\/h2>\n

    Let\u2019s Take A Look At Part (A)<\/span><\/h2>\n

    For (a), they want us to find the square root of 580.<\/p>\n

    \"The<\/p>\n

    Look at the table and you will see that there are two choices you can refer to \u2014 \"\" or \"\"<\/span>. Now, you might be wondering which is the correct one.<\/p>\n

    \"How<\/p>\n

    Let us try writing down our two options and determine which is the correct one to use.<\/p>\n

    Our first option is \"\"<\/strong>. What do we multiply 5.8 with to get 580? 100<\/strong>!<\/p>\n

    \"How<\/p>\n

    <\/p>\n

    For our 2nd option, we are going to use \"\"<\/span>.<\/p>\n

    We need to multiply 58 with 10 in order to get 580 so let us write that down.<\/p>\n

    \"How<\/p>\n

    <\/h2>\n

    Now, ask yourself \u2014 Is it easier to find the square root of 100 or the square root of 10?<\/p>\n

    If we are not allowed to use a calculator, then it will be easier to find the square root of 100!<\/p>\n

    Let us put a cross mark beside Option 2 because we will not be using it.<\/p>\n

    \"How<\/p>\n

    Now let us begin solving the question using Option 1.<\/p>\n

    \"How<\/h2>\n

    Let us refer back to the table \u2014 \"\"<\/strong>\u00a0= 2.41. How about \u221a100? It is 10!<\/span><\/p>\n

    Finally, you can calculate 2.41 x 10 to get 24.1.<\/p>\n

    \"How<\/p>\n

    Suggested Answer For Part (A)<\/span>
    <\/h2>\n

    24.1<\/p>\n

    Let’s Take A Look At Part (B)
    <\/span><\/h2>\n

    \"The<\/p>\n

    Let us look back at the table above. Can you see a number similar to 38.7? It is the last column \u2014 \u221b58= 3.87.<\/p>\n

    Now, in order to get 38.7, we need to multiply 3.87 by 10, so we will get this equation:<\/p>\n

    \"How<\/p>\n

    We can simplify the fraction by cancelling out the 10 in the numerator and denominator and we will be left with (3.87)3<\/sup>.<\/p>\n

    \"How<\/p>\n

    <\/p>\n

    <\/p>\n

    <\/h2>\n

    Some of you might be thinking that the value of (3.87)3<\/sup> is not given in the table above because it only tells us the square roots and cube roots.<\/p>\n

    Don\u2019t worry and refer back to the 4th row in the table.<\/p>\n

    \"How<\/p>\n

    <\/h2>\n

    Therefore, you will get 58.<\/p>\n

    Suggested Answer For Part (B)<\/span><\/h2>\n

    58<\/p>\n

    Conclusion<\/span><\/h2>\n

    I hope that after reading this blog post, you have gained more confidence in solving Estimation & Approximation questions that require you to refer to information in the table instead of using a calculator.<\/p>\n

    It can be overwhelming to see cube and square roots but don\u2019t panic and remember these steps we did in this blog post:<\/p>\n