Maths-
General
Easy
Question
Order the numbers shown from the least to greatest ?
![3.5 comma space 10 over 3 comma space square root of 14](data:image/png;base64,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)
Hint:
Make every number in standard form and then arrange
The correct answer is: Make every number in standard form and then arrange
Complete step by step solution:
Here the numbers are 3.5,
and ![square root of 14](data:image/png;base64,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)
On squaring these numbers,
![left parenthesis 3.5 right parenthesis squared equals 12.25](data:image/png;base64,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)
![open parentheses 10 over 3 close parentheses squared equals 100 over 9 equals 11.11](data:image/png;base64,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)
![left parenthesis square root of 14 right parenthesis squared equals 14](data:image/png;base64,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)
On arranging these from least to greatest, we have 11.11 < 12.25 < 14
![not stretchy rightwards double arrow 10 over 3 less than 3.5 less than square root of 14](data:image/png;base64,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)
On arranging these from least to greatest, we have 11.11 < 12.25 < 14
Related Questions to study
Maths-
Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
![10.5 comma space 4 over 7 comma space 6 comma 0 comma space square root of 2 comma space minus 29](data:image/png;base64,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)
Recognize the following numbers as real numbers , rational numbers , irrational numbers , integers ,whole numbers :
![10.5 comma space 4 over 7 comma space 6 comma 0 comma space square root of 2 comma space minus 29](data:image/png;base64,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)
Maths-General
Maths-
Tell whether each statement is true , sometimes true or never
true . Explain.
1. A rational number is an integer
2. An irrational number is an integer
Tell whether each statement is true , sometimes true or never
true . Explain.
1. A rational number is an integer
2. An irrational number is an integer
Maths-General
Maths-
Identify each solution as rational or irrational :
.![2 over 5](data:image/png;base64,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)
Identify each solution as rational or irrational :
.![2 over 5](data:image/png;base64,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)
Maths-General
Maths-
Identify each solution as rational or irrational :
![4 over 7 plus fraction numerator negative 1 over denominator 3 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAjCAYAAAAg/NwXAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAVlJREFUeNrtmTFrAkEQhRcRsbARC0shSEqxDxJsxUICqYMEQgoL/4B9SltJmSK9yJEmiIQUdiFFEJvUthZy3fkOx9rgzcSdcx587cze25nZZc+5v6kNIqdPl2AAvjiCFcCPUiNewAPX2kfgXqkReyVe+xV45wqm1Ygc+AaVczfiCfQ4y0ujETXwyd1nCT/kECJGzEHVIyNOVhFJ3E/lqXH2FWFGpMyINLR1emW7YUaYEbqNiI5E4loc/SNWEdYaZoQZYZI+QXxREwRgA0KwBENQkk58C549MmIKbtzufXWvOniTTFoGHyCvoKLXksHH5LbvugALqeCPbvfrzGfFFdulOdGSSBD/14gfc7NKBntfKtGMprPvKoIObdq1xCkRKDv6C2QGmzI0dOpOn0LOYB1qC22q0cBk0ytNYZ81o/bNUgXHs+wX3HEmWdEA8lkNMKFWCOmm2T4m0BZ7eJnGXHpThAAAAK10RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1uPjQ8L21uPjxtbj43PC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTwvbW4+PC9tcm93Pjxtbj4zPC9tbj48L21mcmFjPjwvbWF0aD54bG3XAAAAAElFTkSuQmCC)
Identify each solution as rational or irrational :
![4 over 7 plus fraction numerator negative 1 over denominator 3 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEIAAAAjCAYAAAAg/NwXAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAVlJREFUeNrtmTFrAkEQhRcRsbARC0shSEqxDxJsxUICqYMEQgoL/4B9SltJmSK9yJEmiIQUdiFFEJvUthZy3fkOx9rgzcSdcx587cze25nZZc+5v6kNIqdPl2AAvjiCFcCPUiNewAPX2kfgXqkReyVe+xV45wqm1Ygc+AaVczfiCfQ4y0ujETXwyd1nCT/kECJGzEHVIyNOVhFJ3E/lqXH2FWFGpMyINLR1emW7YUaYEbqNiI5E4loc/SNWEdYaZoQZYZI+QXxREwRgA0KwBENQkk58C549MmIKbtzufXWvOniTTFoGHyCvoKLXksHH5LbvugALqeCPbvfrzGfFFdulOdGSSBD/14gfc7NKBntfKtGMprPvKoIObdq1xCkRKDv6C2QGmzI0dOpOn0LOYB1qC22q0cBk0ytNYZ81o/bNUgXHs+wX3HEmWdEA8lkNMKFWCOmm2T4m0BZ7eJnGXHpThAAAAK10RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1uPjQ8L21uPjxtbj43PC9tbj48L21mcmFjPjxtbz4rPC9tbz48bWZyYWM+PG1yb3c+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTwvbW4+PC9tcm93Pjxtbj4zPC9tbj48L21mcmFjPjwvbWF0aD54bG3XAAAAAElFTkSuQmCC)
Maths-General
Maths-
Order each set of numbers from least to greatest , ![2 over 3 comma space 0 comma 6 comma space square root of 9 over 16 end root](data:image/png;base64,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)
Order each set of numbers from least to greatest , ![2 over 3 comma space 0 comma 6 comma space square root of 9 over 16 end root](data:image/png;base64,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)
Maths-General
Maths-
Order each set of numbers from least to greatest,
![square root of 200 with _ below comma end root space 14 comma space 41 over 3](data:image/png;base64,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)
Order each set of numbers from least to greatest,
![square root of 200 with _ below comma end root space 14 comma space 41 over 3](data:image/png;base64,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)
Maths-General
Maths-
Determine whether set B is a subset of set A?
A= {2, 3, 5, 7, 11}
B= { 3, 5, 7, 9, 11}
Determine whether set B is a subset of set A?
A= {2, 3, 5, 7, 11}
B= { 3, 5, 7, 9, 11}
Maths-General
Maths-
Determine whether set B is a subset of set A?
A = { 0, 1, 2, 3, 4}
B= {1, 2}
Determine whether set B is a subset of set A?
A = { 0, 1, 2, 3, 4}
B= {1, 2}
Maths-General
Maths-
Which of the following rational expressions simplify to
? Select all that apply .
Which of the following rational expressions simplify to
? Select all that apply .
Maths-General
Maths-
Why do you have to state the domain when simplifying rational expressions ?
Why do you have to state the domain when simplifying rational expressions ?
Maths-General
Maths-
Find the product and the domain ?
![fraction numerator 2 straight x squared minus 10 straight x over denominator left parenthesis straight x minus 5 right parenthesis open parentheses straight x squared minus 1 close parentheses end fraction cross times 3 straight x squared plus 4 straight x plus 1](data:image/png;base64,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)
Find the product and the domain ?
![fraction numerator 2 straight x squared minus 10 straight x over denominator left parenthesis straight x minus 5 right parenthesis open parentheses straight x squared minus 1 close parentheses end fraction cross times 3 straight x squared plus 4 straight x plus 1](data:image/png;base64,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)
Maths-General
Maths-
A Student divided the rational expression as follows :
![fraction numerator 4 x over denominator 5 y end fraction divided by fraction numerator 20 x squared over denominator 25 y squared end fraction equals fraction numerator 16 x cubed over denominator 25 y cubed end fraction](data:image/png;base64,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)
Describe and correct the errors the student made ?
A Student divided the rational expression as follows :
![fraction numerator 4 x over denominator 5 y end fraction divided by fraction numerator 20 x squared over denominator 25 y squared end fraction equals fraction numerator 16 x cubed over denominator 25 y cubed end fraction](data:image/png;base64,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)
Describe and correct the errors the student made ?
Maths-General
Maths-
Define rational expression and Provide an example of a rational expression .
Define rational expression and Provide an example of a rational expression .
Maths-General
Maths-
Find the product and the domain ?
![fraction numerator left parenthesis straight x minus straight y right parenthesis squared over denominator straight x plus straight y end fraction cross times fraction numerator 3 straight x plus 3 straight y over denominator straight x squared minus straight y squared end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI0AAAAsCAYAAABYHjvuAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAaPUZr5AAAA3lJREFUeNrtWzFrVEEQfogcKUQIIiJ2IsFCwoGkEDkkIBZiIYKFiAQRgkgQsRULsQkpxD8gInaWIiFwiIQQgiDWQQhWYi8iRxDWWZzgY9n3btebndl9mQ++Iu89wty3czOzb++rqu7AIHeBm8BTlUIE94DLmcW0jHE14QDe/6zLx49Z4FamsW1ifG0Y6RLKLEw/09jOAjda7l8ArgvENQ9cBf7CpP0CfA48IqgVW0x9TJqcsYHJ4+I4xn5SIKYPwGvAnqPlmqBObDGtAJcyT5r7nnlrBvgOEycn/Eg0+GcVk83CQe3vKZxvTjjPHQV+wvsUmAZ+bRhuvzkl9RzwvVNhbBk+nFnC2Iq3nUBLQxRTjOZjs7DnXDuDi1KH/VZfIhZ5CJxzrl0EvnWu9Zxvi43tdEbJcgx4G2eIywm0NIQxhWreit8N15dq290F4OsEYt/xtJ1XwBueZ3cdEV1KwI3hQSItDWFMMZpHJ43FG9yd7ASULhNAX4vacSrKT0/lc5MmN9jPcRX4EfWS0DI0phjNo9rTHga4WIsJBR/Wtvv2W/jS80wv0YBJjUO4SNRaGuKYQjQfu2jnG4Yju9W9iT04FWy5fFqLxdfr3UE4Z4wSaGmIYwrR/L+23E9wkLK4hS+JUpX2bdwRfW+ZCVYKSJhZHDyptTTEMYVo3grfy7057MF1PMMPnKpFvWgRs+nlniTsW+jrwINYSeZxO7uQQEtDHFOI5mOxVf0735nCfzjteW4VW0WKFmU8W8GqGn+MIIUBtpoR0r6NveI8w61lSEwhmgeXMMkDy35DWa+qsANLBa3mwbhbyf004iHwccO8tajry6p5MbAlnOuHVI+Qsfe6Bk7NOwFfcuynhFEQJI4mTOAWrusMTZxhRMKYfUQFUdIoNGG0PSl0EFbolluhmw95g5+aDAtFDgY/NRkWipHGEFYaFX8hZfBji4HLhkFmr8gckgY/1hi4bBgk9oqMkYPBjzUGDhsGib0i4wojbfATiSEnS0sOiGndKQ1+oa1dxGTIYcOY2F7BjNDWnfpQMKS1sx9MctkwJrZXCIDDjVpka+eyYUxsrxBCTOsO0ar41s5pw9irMBPZKwTA4UYtprXnZmnJEVxu1C62djKQ2CsKat2Uu6gSWzsJSrJXcLtRu9jayT54Ccf2Eq27a61doa1doa1doa09Fn8ATjPF9XeGVSYAAAI7dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93Pjxtbz4oPC9tbz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PG1vPiYjeDIyMTI7PC9tbz48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eTwvbWk+PG1zdXA+PG1vPik8L21vPjxtbj4yPC9tbj48L21zdXA+PC9tcm93Pjxtcm93PjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj54PC9taT48bW8+KzwvbW8+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPnk8L21pPjwvbXJvdz48L21mcmFjPjxtbz4mI3hENzs8L21vPjxtZnJhYz48bXJvdz48bW4+MzwvbW4+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPng8L21pPjxtbz4rPC9tbz48bW4+MzwvbW4+PG1pIG1hdGh2YXJpYW50PSJub3JtYWwiPnk8L21pPjwvbXJvdz48bXJvdz48bXN1cD48bWkgbWF0aHZhcmlhbnQ9Im5vcm1hbCI+eDwvbWk+PG1uPjI8L21uPjwvbXN1cD48bW8+JiN4MjIxMjs8L21vPjxtc3VwPjxtaSBtYXRodmFyaWFudD0ibm9ybWFsIj55PC9taT48bW4+MjwvbW4+PC9tc3VwPjwvbXJvdz48L21mcmFjPjwvbWF0aD5lRcfvAAAAAElFTkSuQmCC)
Find the product and the domain ?
![fraction numerator left parenthesis straight x minus straight y right parenthesis squared over denominator straight x plus straight y end fraction cross times fraction numerator 3 straight x plus 3 straight y over denominator straight x squared minus straight y squared end fraction](data:image/png;base64,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)
Maths-General
Maths-
How does understanding operations with fractions help you multiply and divide rational expressions?
How does understanding operations with fractions help you multiply and divide rational expressions?
Maths-General