{"id":2962,"date":"2021-02-26T04:25:04","date_gmt":"2021-02-26T04:25:04","guid":{"rendered":"https:\/\/themindpalace.in\/?p=2962"},"modified":"2021-08-26T05:47:41","modified_gmt":"2021-08-26T05:47:41","slug":"decimal-fractions","status":"publish","type":"post","link":"https:\/\/themindpalace.in\/index.php\/2021\/02\/26\/decimal-fractions\/","title":{"rendered":"DECIMAL FRACTIONS"},"content":{"rendered":"\n

Summary of decimal fraction<\/a><\/p>\n\n\n\n

Solved exercise of decimal fraction<\/a><\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Summary<\/h1>\n\n\n\n

Decimal fraction<\/strong>\u00a0is a\u00a0fraction\u00a0whose denominator is 10 or a multiple of 10 like 100, 1,000, 10,000, etc.<\/p>\n\n\n\n

Decimals can also be used to write numbers between any two whole numbers.<\/p>\n\n\n\n

Example<\/span><\/strong><\/p>\n\n\n\n

While measuring the length of a table with a metre scale, the length may not be a whole number, it may lie between two graduations on the metre scale. In such situations, the decimal numbers are used.<\/p>\n\n\n\n

From the conservation of units we know<\/p>\n\n\n\n

1 km = 1000 m<\/p>\n\n\n\n

1 m = 100 cm<\/p>\n\n\n\n

1 cm = 10 mm<\/p>\n\n\n\n

Now, let the length of the tabletop be 2 m and 75 cm, and then it can be represented as <\/p>\n\n\n\n

(2 + 75\/100) m.<\/p>\n\n\n\n

Exercise<\/h1>\n\n\n\n

Exercise 4.1<\/span><\/p>\n\n\n\n

Read the following decimals and write them in words<\/span><\/strong><\/p>\n\n\n\n

1) 0.5\u00a0\u00a0\u00a0=\u00a0 zero point five<\/span><\/p>\n\n\n\n

2)0.13\u00a0\u00a0=\u00a0 zero point one three<\/span><\/p>\n\n\n\n

3)1.7\u00a0\u00a0\u00a0\u00a0=\u00a0 one point seven<\/span><\/p>\n\n\n\n

4)5.21\u00a0\u00a0=\u00a0 five point two one<\/span><\/p>\n\n\n\n

II. Write the numeral representing each of the following<\/span><\/p>\n\n\n\n

1) Zero point one-two\u00a0\u00a0\u00a0\u00a0\u00a0 = 0.12<\/span><\/p>\n\n\n\n

2) Six point eight\u00a0\u00a0\u00a0 = 6.8<\/span><\/p>\n\n\n\n

3) Ten point five\u00a0\u00a0\u00a0\u00a0 =10.5<\/span><\/p>\n\n\n\n

4) Four point zero two\u00a0\u00a0\u00a0\u00a0 =4.02<\/span><\/p>\n\n\n\n

5) Six point eight four\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 =6.84<\/span><\/p>\n\n\n\n

6) One hundred eight point zero six\u00a0\u00a0\u00a0\u00a0 =108.06<\/span><\/p>\n\n\n\n

III. Fill in the blanks.<\/span><\/p>\n\n\n\n

1)8 mm\u00a0\u00a0\u00a0\u00a0 =\u00a0\u00a0\u00a0 0.8\u00a0\u00a0\u00a0<\/span>\u00a0\u00a0 cm\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n

1cm= 10mm<\/p>\n\n\n\n

8mm=8\/10= 0.8cm<\/strong><\/span><\/p>\n\n\n\n

2)75mm=7.5 cm<\/span><\/p>\n\n\n\n

1cm = 10mm<\/p>\n\n\n\n

75mm= 75\/10=7.5cm<\/strong><\/span><\/p>\n\n\n\n

3)8cm 5mm=8.5 cm<\/span><\/p>\n\n\n\n

1cm=10mm<\/p>\n\n\n\n

5mm=5\/10=0.5<\/p>\n\n\n\n

8+ 0.5 =8.5 cm<\/strong><\/span><\/p>\n\n\n\n

4) 525mm=5.2 cm<\/span><\/p>\n\n\n\n

1mm =10\/10<\/strong><\/p>\n\n\n\n

525mm = 525\/10 =52.5cm<\/span><\/strong><\/p>\n\n\n\n

IV. Fill in the blanks.<\/span><\/p>\n\n\n\n

  1. 8 cm =0.08m\u00a0\u00a0<\/span><\/span><\/li>
  2. 72 cm = 0.72m<\/span><\/span><\/li>
  3. 375 cm = 3.75m<\/span><\/span><\/li>
  4. 4m 80 cm =4.08m<\/span><\/span><\/li>
  5. 15 m 6 cm =15.06m<\/span><\/span><\/li><\/ol>\n\n\n\n

    V. Write in decimal fractions<\/span><\/p>\n\n\n\n

    1) 75 paise =Rs 0.75<\/span><\/p>\n\n\n\n

    2) 10 rupees and 25 paise =Rs10.25<\/span><\/p>\n\n\n\n

    3) 870 paise =8.70<\/span><\/p>\n\n\n\n

    4) 782 rupees and ten paise =Rs 782.10<\/span><\/p>\n\n\n\n

    \u00a05) 2050 paise = Rs 20.50<\/span><\/p>\n\n\n\n

    Example<\/span><\/strong><\/p>\n\n\n\n

    To write the decimal fraction 1.42 in the form of fraction.<\/p>\n\n\n\n

     1) Write the number without decimal point that forms the numerator \u2192 142<\/p>\n\n\n\n

     2) Count the decimal places in the decimal fraction i.e, 2<\/p>\n\n\n\n

    3) Write 1 followed by two zeroes in denominator \u2192 100<\/p>\n\n\n\n

    I.Write the following fractions as decimal fractions.<\/span><\/p>\n\n\n\n

    1)8\/10 =0.8<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    2)7\/10 =0.7<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    3)6\/10 =0.6<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    4)16\/16 =1.6\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    5)83\/10 = 8.3<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    6) 7\/100 =0.07<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    7) 72\/100 =0.72<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    8) 861\/100 =8.61<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    9)162\/10 =16.2<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    10) 141\/100=1.41<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    11) 1461\/100=14.61<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    12) \u00bd\u00a0 =0.5<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    13) \u00be =0.75<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    14)2\/5 =0.4<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    15)7\/20 =0.35<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    16)38\/50 =0.76<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    17)17\/25 =0.65<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    18)13\/20 =0.65<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    19)8\/25=0.32<\/p>\n\n\n\n

    \"\"<\/figure>\n\n\n\n

    II.Write the following decimal fractions as fractions<\/span><\/p>\n\n\n\n

    1)0.7<\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a07<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10<\/p>\n\n\n\n

    2) 0.02<\/p>\n\n\n\n

    2<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 100<\/p>\n\n\n\n

    3) 3.8<\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 38<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10<\/p>\n\n\n\n

    4)14.5<\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0145<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10<\/p>\n\n\n\n

    5)0.56<\/p>\n\n\n\n

    56<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 100<\/p>\n\n\n\n

    6)8.03<\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 803<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 100<\/p>\n\n\n\n

    7)14.57<\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a01457<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 100<\/p>\n\n\n\n

    8)85.4<\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0854<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10<\/p>\n\n\n\n

    9)147.5<\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 1475<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 10<\/p>\n\n\n\n

    10)8.5<\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0 85<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 10<\/p>\n\n\n\n

    11)85.61<\/p>\n\n\n\n

    8561<\/span><\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 100<\/p>\n\n\n\n

    12)6.84<\/p>\n\n\n\n

    \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0684<\/span> <\/p>\n\n\n\n

                       100<\/p>\n","protected":false},"excerpt":{"rendered":"

    Summary of decimal fraction Solved exercise of decimal fraction Summary Decimal fraction\u00a0is a\u00a0fraction\u00a0whose denominator is 10 or a multiple of 10 like 100, 1,000, 10,000, etc. Decimals can also be used to write numbers...<\/p>\n","protected":false},"author":3,"featured_media":2984,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[114,475,14],"tags":[350,349],"cp_meta_data":{"_jetpack_related_posts_cache":["a:1:{s:32:\"8f6677c9d6b0f903e98ad32ec61f8deb\";a:2:{s:7:\"expires\";i:1777662945;s:7:\"payload\";a:3:{i:0;a:1:{s:2:\"id\";i:3153;}i:1;a:1:{s:2:\"id\";i:2321;}i:2;a:1:{s:2:\"id\";i:607;}}}}"],"_edit_lock":["1629956861:2"],"_last_editor_used_jetpack":["block-editor"],"_edit_last":["2"],"_layout":["inherit"],"_thumbnail_id":["2984"]},"jetpack_sharing_enabled":true,"jetpack_featured_media_url":"https:\/\/themindpalace.in\/wp-content\/uploads\/2021\/02\/Slide1-5.jpg","jetpack-related-posts":[],"_links":{"self":[{"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/posts\/2962"}],"collection":[{"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/comments?post=2962"}],"version-history":[{"count":4,"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/posts\/2962\/revisions"}],"predecessor-version":[{"id":2986,"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/posts\/2962\/revisions\/2986"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/media\/2984"}],"wp:attachment":[{"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/media?parent=2962"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/categories?post=2962"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/themindpalace.in\/index.php\/wp-json\/wp\/v2\/tags?post=2962"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}