Maths-
General
Easy
Question
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
Hint:
Take an example and check
The correct answer is: Take an example and check
Complete step by step solution:
1. A rational number is an integer
This is sometimes true
This is true when
and
, then
which is an
integer.
This is not true, when
and
, then
which is not
an integer.
2. An irrational number is an integer
This is never true.
Related Questions to study
Maths-
Identify each solution as rational or irrational :
.![2 over 5](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAMBJREFUeNpjYMAOrIF4DRB/AuJfQHwBiKMZyAAHgTgSiHmgfC0gPgoVoxjIA/ElBiqBH9QwxBLqPYoABxCfhEYC2UAQiDcAsRslhihBDVGhxBANIJ4NxFyUGCIOxKuAmIXSwN0CdRHF4D8ePAoGE/hPJh4FQyEGSTaIai4axgb9gtb924C4CKn6JguAymxjIK4F4hvUKn7doI2LwVP36wDxXVI1rYM2Gpig2ANqSBCpBoUC8S0g/gPE76CVpSk+DQBe0j3gm92kxAAAAGJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1uPjI8L21uPjxtbj41PC9tbj48L21mcmFjPjwvbWF0aD5O8RyGAAAAAElFTkSuQmCC)
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,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)
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,iVBORw0KGgoAAAANSUhEUgAAAGkAAAAtCAYAAACtS0VAAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAc1CXO0QAABCRJREFUeNrtWmFIFEEUHkJEQiKpsOiHIRISIkFJRoQeisRxRAiiYVBhSIQ//CEhRBBEBPWjKCgkQkJIKMkIqSBEQiIEMUmJEKpfFVIkXmGHHdV7+pnbcXu7tzuz7O3sBx/cze0Mc+/tvHnvmxEiRCYUEv/4gCEyoIL4ITSDv3GI+CQ0g7/RSbwZmsHfuE7s8uvk9hEHiHHiInGS2Kqhk0aIBxz2rSGOEhPEBdizVObknhMPI7th7CC+QJtO4KSh3EG/BuI0sYq4hphHbCO+JRarnHAJ8bVGDiog/oKBs8W4yappIl5SPfGERk6qJk457Js0aedVNaFy0nsR8nRBC/G+w77viLtMotGCyqU/hoRCF3QTLzvs24T9rAarhxnDKlpUMdki4kNshjqB66MOF/1rkB0mwHvEMhUrqRQOKtMw/eb0uVZRRJIGTj1vEddqWsjOETdLHjNCPC9rsGIszzxNHbSe+F3BuBeIW2UNNuSwiAsKdrpIvxnDxEZiPr6zY84SD8qcpOqzjXXEG4jPzB602UUVVnocm/IjbNSycIzY56J/PZKGJObYT6zMtTd1OOWtiqHNDtrhlO0Gh7dio5eFczL3jlwE1xDX0rRfFdbaIGuI4x7MsQ+rSVsMmNRcEfyWCT3CG5H3pYL0O6fwzbChGsFtsxZ9WUXe4sEcfyLD0xbJDL9ZSSYJ7EUPULkvIvzJPOvi2uizX43n1U2WpIUTrObI+lcUNRxrYqwnzhBPSbJDNcKdClvlzO2gWZNwV2Aj3MVNikGuaz5Kmt8JKC1ag5ODdEfSDTYSh8dYPU5CZTpUpGm7Inx8r8ErNJq8qb02MjcOac1p2stF9sJlPUJL6socFMtXuQKLfvxxqz/J1Xgn9hUOfWfE8r0Kq7Hy8VybWNUV94jlY/36LObBz87hmdS97BXCp/ZO4jOq22L1Jg3XP4U2x9qElfgDSQg7bX+W8+iGyvGeeNfQngfn5UT6HUH8X4AhZ6AIbLDpqKhEp0cV9uXQ9sbwfZtwfq2YSwMWUSctnpOmO46I/1XclQzqqUU/fmZayDnicDOW3b6nifOG77X4706lpHaLFNoL3XHJ+5nAm7Cse2VuxrLbtwRGXXHmSeH+WrGZkzzRHUshywRRAanDZ75W3KHISUp1R34jj2NfigbQSZ9QGzH4CleLIicp0R1TpYrOgGako4Y9YcqkwJXhJKW6YxFS2TEh9/TTL7hI/IrPTq8V23GSF7rjUh0zFkAn1WFf4vT7i6QIZJZ0qdYd/y3ZIOI3wvkzhU6SrTumRSWWZhAxD+WiV6GTZOqOS+AJNxliZwSV+NGAOmkCxu1W6CS7uqNtsBY2JFbvMXMVHhPBxR0YN+bSOVaHd3Z0xxAmaIZRd4em8C82wkmFoSn8jcHQBP7HkdAE/odvQ91fv9VLCgFbpy8AAADldEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtbj4yPC9tbj48bW4+MzwvbW4+PC9tZnJhYz48bW8+LDwvbW8+PG1vPiYjeEEwOzwvbW8+PG1uPjA8L21uPjxtbz4sPC9tbz48bW4+NjwvbW4+PG1vPiw8L21vPjxtbz4mI3hBMDs8L21vPjxtc3FydD48bWZyYWM+PG1uPjk8L21uPjxtbj4xNjwvbW4+PC9tZnJhYz48L21zcXJ0PjwvbWF0aD7KS/MlAAAAAElFTkSuQmCC)
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,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)
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)
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
Maths-
The company compares the ratios of surface area to volume for two more containers . One is a rectangular prism with a square base. The other is rectangular prism with a rectangular base. One side of the base is equal to the side length of first container. And the other side is twice as long. The Surface area of this second container is
. The heights of two containers are equal. Which has the smaller surface area -to – Volume ratio?
The company compares the ratios of surface area to volume for two more containers . One is a rectangular prism with a square base. The other is rectangular prism with a rectangular base. One side of the base is equal to the side length of first container. And the other side is twice as long. The Surface area of this second container is
. The heights of two containers are equal. Which has the smaller surface area -to – Volume ratio?
Maths-General
Maths-
Let D= { -2, -1, 0, 1, 2}. Is D a subset of itself ? Explain.
Note: Every set is a subset of itself.
Let D= { -2, -1, 0, 1, 2}. Is D a subset of itself ? Explain.
Maths-General
Note: Every set is a subset of itself.