{"id":68,"date":"2023-07-28T16:33:44","date_gmt":"2023-07-28T20:33:44","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/?post_type=chapter&p=68"},"modified":"2023-08-04T17:56:34","modified_gmt":"2023-08-04T21:56:34","slug":"understanding-decimals","status":"publish","type":"chapter","link":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/chapter\/understanding-decimals\/","title":{"raw":"Understanding Decimals","rendered":"Understanding Decimals"},"content":{"raw":"Understanding Decimals<\/span><\/strong>\r\n\r\nA decimal is a number that consists of a whole and a part of a whole. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.\r\n\r\n\"\"\r\n\r\nThis should be read as 17 and 591 thousandths.<\/span><\/strong>\r\nHow to read the decimal properly: we read decimal numbers by their<\/span><\/strong>\r\ndecimal position.<\/span><\/strong>\r\n\r\nExample<\/strong> 1:<\/strong> \u201cforty-five<\/em> and<\/em> six-tenths<\/em>\u201d written as a decimal number:\r\n\r\nThe decimal point goes between Ones and Tenths.\r\n\r\n \r\n\r\n45.6<\/strong> has 4 Tens, 5 Ones and\r\n\r\n6 Tenths, like this chart to the right:\r\n\r\n\"\"\r\n\r\nExample 2:<\/strong> What is 2.3 ?\r\nOn the left side is \u201c2\u201d, that is the whole number part.\r\nThe 3 is in the \u201ctenths\u201d position, meaning \u201c3 tenths\u201d, or 3\/10\r\nSo, 2.3 is \u201c2 and 3 tenths\u201d\r\n\r\nExample 3:<\/strong> What is 13.76 ?\r\nOn the left side is \u201c13\u201d, that is the whole number part.\r\nThere are two digits on the right side, the 7 is in the \u201ctenths\u201d position, and the\r\n6 is the \u201chundredths\u201d position.\r\n\r\nSo, 13.76 is read as 13 and 76 hundredths.<\/span>\r\n\r\nA Decimal Fraction is a fraction where the denominator (the bottom number) is to the power of 10, for example:10, 100, 1000, etc\r\nSo, 2.3 Looks like 23\/10 And, 13.76 Looks like 1376\/100\r\n\r\nTo convert a decimal to a fraction, place the decimal number over its place <\/strong>value.<\/strong> For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6\/10.\r\n\r\n\"\"\r\nMore Examples:<\/strong>\r\n\r\n5\/10 = 0.5 2\/100 = 0.02 16\/1000 = 0.016\r\n1\/100 = 0.01 195\/10000 = 0.0195 45\/10 = 4.5\r\n*See further explanation of the power of ten in the Electrical section of this book.","rendered":"

Understanding Decimals<\/span><\/strong><\/p>\n

A decimal is a number that consists of a whole and a part of a whole. Decimal numbers lie between integers and represent numerical value for quantities that are whole plus some part of a whole.<\/p>\n

\"\"<\/p>\n

This should be read as 17 and 591 thousandths.<\/span><\/strong>
\nHow to read the decimal properly: we read decimal numbers by their<\/span><\/strong>
\ndecimal position.<\/span><\/strong><\/p>\n

Example<\/strong> 1:<\/strong> \u201cforty-five<\/em> and<\/em> six-tenths<\/em>\u201d written as a decimal number:<\/p>\n

The decimal point goes between Ones and Tenths.<\/p>\n

 <\/p>\n

45.6<\/strong> has 4 Tens, 5 Ones and<\/p>\n

6 Tenths, like this chart to the right:<\/p>\n

\"\"<\/p>\n

Example 2:<\/strong> What is 2.3 ?
\nOn the left side is \u201c2\u201d, that is the whole number part.
\nThe 3 is in the \u201ctenths\u201d position, meaning \u201c3 tenths\u201d, or 3\/10
\nSo, 2.3 is \u201c2 and 3 tenths\u201d<\/p>\n

Example 3:<\/strong> What is 13.76 ?
\nOn the left side is \u201c13\u201d, that is the whole number part.
\nThere are two digits on the right side, the 7 is in the \u201ctenths\u201d position, and the
\n6 is the \u201chundredths\u201d position.<\/p>\n

So, 13.76 is read as 13 and 76 hundredths.<\/span><\/p>\n

A Decimal Fraction is a fraction where the denominator (the bottom number) is to the power of 10, for example:10, 100, 1000, etc
\nSo, 2.3 Looks like 23\/10 And, 13.76 Looks like 1376\/100<\/p>\n

To convert a decimal to a fraction, place the decimal number over its place <\/strong>value.<\/strong> For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6\/10.<\/p>\n

\"\"
\nMore Examples:<\/strong><\/p>\n

5\/10 = 0.5 2\/100 = 0.02 16\/1000 = 0.016
\n1\/100 = 0.01 195\/10000 = 0.0195 45\/10 = 4.5
\n*See further explanation of the power of ten in the Electrical section of this book.<\/p>\n","protected":false},"author":2001,"menu_order":3,"template":"","meta":{"pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-68","chapter","type-chapter","status-publish","hentry"],"part":44,"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/68","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/users\/2001"}],"version-history":[{"count":4,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/68\/revisions"}],"predecessor-version":[{"id":642,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/68\/revisions\/642"}],"part":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/parts\/44"}],"metadata":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapters\/68\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/media?parent=68"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/pressbooks\/v2\/chapter-type?post=68"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/contributor?post=68"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/tradeskillsforsuccessnumeracy\/wp-json\/wp\/v2\/license?post=68"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}