Question

Give four examples for rational and irrational numbers​

Answer 1

Answer:

Examples of rational numbers are ½, ¾, 7/4, 1/100, etc. Examples of irrational numbers are √2, √3, pi(π), etc.

Answer 2

$\huge\star{\underline{\mathtt{\red{A}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}}\huge\star$

• ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ, ᴄᴀɴ ʙᴇ ᴅᴇғɪɴᴇᴅ ᴀs ᴀɴʏ ɴᴜᴍʙᴇʀ ᴡʜɪᴄʜ ᴄᴀɴ ʙᴇ ʀᴇᴘʀᴇsᴇɴᴛᴇᴅ ɪɴ ᴛʜᴇ ғᴏʀᴍ ᴏғ ᴘ/ǫ ᴡʜᴇʀᴇ ǫ ≠ 0.

• $\orange { \tt{ExAmPlEs-}}$ ½, ¾, 7/4, 1/100, etc

$\blue { \tt{</u></em></strong><strong><em><u>ʀᴀᴛɪᴏɴᴀʟ </u></em></strong><strong><em><u>\</u></em></strong><strong><em><u>:</u></em></strong><strong><em><u>ɴᴜᴍʙᴇʀs</u></em></strong><strong><em><u>\</u></em></strong><strong><em><u>:</u></em></strong><strong><em><u> ᴘʀᴏᴘᴇʀᴛɪᴇs</u></em></strong><strong><em><u>:-}}$

• ᴛʜᴇ ʀᴇsᴜʟᴛs ᴀʀᴇ ᴀʟᴡᴀʏs ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ɪғ ᴡᴇ ᴍᴜʟᴛɪᴘʟʏ, ᴀᴅᴅ ᴏʀ sᴜʙᴛʀᴀᴄᴛ ᴀɴʏ ᴛᴡᴏ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs.

• ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ʀᴇᴍᴀɪɴs ᴛʜᴇ sᴀᴍᴇ ɪғ ᴡᴇ ᴅɪᴠɪᴅᴇ ᴏʀ ᴍᴜʟᴛɪᴘʟʏ ʙᴏᴛʜ ɴᴜᴍᴇʀᴀᴛᴏʀ ᴀɴᴅ ᴅᴇɴᴏᴍɪɴᴀᴛᴏʀ ᴡɪᴛʜ ᴛʜᴇ sᴀᴍᴇ ғᴀᴄᴛᴏʀ.

• ɪғ ᴡᴇ ᴀᴅᴅ ᴢᴇʀᴏ ᴛᴏ ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ ᴛʜᴇɴ ᴡᴇ ᴡɪʟʟ ɢᴇᴛ ᴛʜᴇ sᴀᴍᴇ ɴᴜᴍʙᴇʀ ɪᴛsᴇʟғ.

$\red { \tt{IRʀᴀᴛɪᴏɴᴀʟ \:ɴᴜᴍʙᴇʀs}}$

• ɪʀʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs ᴀʀᴇ ᴛʜᴇ ʀᴇᴀʟ ɴᴜᴍʙᴇʀs ᴛʜᴀᴛ ᴄᴀɴɴᴏᴛ ʙᴇ ʀᴇᴘʀᴇsᴇɴᴛᴇᴅ ᴀs ᴀ sɪᴍᴘʟᴇ ғʀᴀᴄᴛɪᴏɴ. ɪᴛ ᴄᴀɴɴᴏᴛ ʙᴇ ᴇxᴘʀᴇssᴇᴅ ɪɴ ᴛʜᴇ ғᴏʀᴍ ᴏғ ᴀ ʀᴀᴛɪᴏ, sᴜᴄʜ ᴀs ᴘ/ǫ, ᴡʜᴇʀᴇ ᴘ ᴀɴᴅ ǫ ᴀʀᴇ ɪɴᴛᴇɢᴇʀs, ǫ≠0. ɪᴛ ɪs ᴀ ᴄᴏɴᴛʀᴀᴅɪᴄᴛɪᴏɴ ᴏғ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs.

• $\orange { \tt{ExAmPlEs-}}$ √2, √3, pi(π), etc

$\purple{ \tt{IʀRᴀᴛɪᴏɴᴀʟ \:ɴᴜᴍʙᴇʀs\: ᴘʀᴏᴘᴇʀᴛɪᴇs:-}}$

• ᴛʜᴇ ʟᴇᴀsᴛ ᴄᴏᴍᴍᴏɴ ᴍᴜʟᴛɪᴘʟᴇ (ʟᴄᴍ) ᴏғ ᴀɴʏ ᴛᴡᴏ ɪʀʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs ᴍᴀʏ ᴏʀ ᴍᴀʏ ɴᴏᴛ ᴇxɪsᴛ.

• ᴛʜᴇ ᴀᴅᴅɪᴛɪᴏɴ ᴏʀ ᴛʜᴇ ᴍᴜʟᴛɪᴘʟɪᴄᴀᴛɪᴏɴ ᴏғ ᴛᴡᴏ ɪʀʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs ᴍᴀʏ ʙᴇ ʀᴀᴛɪᴏɴᴀʟ; ғᴏʀ ᴇxᴀᴍᴘʟᴇ, √2. √2 = 2. ʜᴇʀᴇ, √2 ɪs ᴀɴ ɪʀʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ. ɪғ ɪᴛ ɪs ᴍᴜʟᴛɪᴘʟɪᴇᴅ ᴛᴡɪᴄᴇ, ᴛʜᴇɴ ᴛʜᴇ ғɪɴᴀʟ ᴘʀᴏᴅᴜᴄᴛ ᴏʙᴛᴀɪɴᴇᴅ ɪs ᴀ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀ. (ɪ.ᴇ) 2.

• ᴛʜᴇ sᴇᴛ ᴏғ ɪʀʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs ɪs ɴᴏᴛ ᴄʟᴏsᴇᴅ ᴜɴᴅᴇʀ ᴍᴜʟᴛɪᴘʟɪᴄᴀᴛɪᴏɴ ᴘʀᴏᴄᴇss, ᴜɴʟɪᴋᴇ ᴛʜᴇ sᴇᴛ ᴏғ ʀᴀᴛɪᴏɴᴀʟ ɴᴜᴍʙᴇʀs.

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