{"id":838,"date":"2020-09-15T02:50:46","date_gmt":"2020-09-15T02:50:46","guid":{"rendered":"http:\/\/themindpalace.in\/?p=838"},"modified":"2021-08-28T09:40:37","modified_gmt":"2021-08-28T09:40:37","slug":"numbers","status":"publish","type":"post","link":"https:\/\/themindpalace.in\/index.php\/2020\/09\/15\/numbers\/","title":{"rendered":"Numbers"},"content":{"rendered":"\n

Summary of numbers<\/a><\/p>\n\n\n\n

Solved exercise of number<\/a><\/p>\n\n\n\n

\"\"
Numbers<\/figcaption><\/figure><\/div>\n\n\n\n

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

A\u00a0number<\/strong>\u00a0is a mathematical object used to count, measure, and label.\u00a0<\/p>\n\n\n\n

Examples<\/span> are the natural numbers 1, 2, 3, 4 etc.<\/span><\/p>\n\n\n\n

4 Digit Number<\/span><\/p>\n\n\n\n

\"\"
4 digit number<\/figcaption><\/figure><\/div>\n\n\n\n

There are four digits in a four-digit number. According to their values, the digits are placed from right to left at one\u2019s place, ten\u2019s place, hundred\u2019s place, and thousand\u2019s place.<\/p>\n\n\n\n

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

1234<\/span><\/p>\n\n\n\n

4 is in Unit place<\/p>\n\n\n\n

3 is in ten’s place<\/p>\n\n\n\n

2 is in Hundred’s place<\/p>\n\n\n\n

1 is in thousandPlace<\/p>\n\n\n\n

And it is read as One thousand two hundred and thirty four.<\/p>\n\n\n\n

Exercise 2.1 <\/span><\/strong><\/h1>\n\n\n\n

Read the following numbers ? then write in words.<\/span><\/p>\n\n\n\n

1)697<\/span> : Six hundred and ninety seven<\/p>\n\n\n\n

2) 809<\/span> :Eight hundred and nine<\/p>\n\n\n\n

3) 1576<\/span> :One thousand five hundred and seventy six<\/p>\n\n\n\n

4) 5298<\/span> :Five thousand two hundred and ninety eight<\/p>\n\n\n\n

5) 7005<\/span> :Seven thousand and five.<\/p>\n\n\n\n

6) 9899<\/span> :Nine thousand  eight hundred and ninety nine.<\/p>\n\n\n\n

7) 7203<\/span> :Seven thousand two hundred and three<\/p>\n\n\n\n

8) 8004<\/span>: Eight thousand and four.<\/p>\n\n\n\n

II. Write the following numbers in the place value chart.<\/span><\/p>\n\n\n\n

The numbers which represent pictorially are written in the place value chart.<\/p>\n\n\n\n

Example : 3594<\/span><\/p>\n\n\n\n

Thousand<\/span><\/td>Hundred<\/span><\/td>Tens<\/span><\/td>Unit<\/span><\/td><\/tr>
3<\/span><\/td>5<\/span><\/td>9<\/span><\/td>4<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

1) 307<\/span><\/p>\n\n\n\n

Hundred<\/span><\/td>Tens<\/span><\/td>Unit<\/span><\/td><\/tr>
3<\/span><\/td>0<\/span><\/td>7<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

2) 611<\/span><\/p>\n\n\n\n

Hundred<\/span><\/td>Tens<\/span><\/td>Unit<\/span><\/td><\/tr>
6<\/span><\/td>1<\/span><\/td>1<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

3) 5926<\/span><\/p>\n\n\n\n

Thousand<\/span><\/td>Hundred<\/span><\/td>Tens<\/span><\/td>Unit<\/span><\/td><\/tr>
5<\/span><\/td>9<\/span><\/td>2<\/span><\/td>6<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

4) 6000<\/span><\/p>\n\n\n\n

Thousand<\/span><\/td>Hundred<\/span><\/td>Tens<\/span><\/td>Unit<\/span><\/td><\/tr>
6<\/span><\/td>0<\/span><\/td>0<\/span><\/td>0<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

5) 8888<\/span><\/p>\n\n\n\n

Thousand<\/span><\/td>Hundred<\/span><\/td>Tens<\/span><\/td>Unit<\/span><\/td><\/tr>
8<\/span><\/td>8<\/span><\/td>8<\/span><\/td>8<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

III. Write the following numbers in Words.<\/span><\/p>\n\n\n\n

Example : 2490 = Two thousand four hundred Ninety.<\/span><\/p>\n\n\n\n

1) 3524 = Three thousand five hundred and twenty four.<\/span><\/p>\n\n\n\n

2) 4967 =<\/em>Four thousand nine hundred and sixty seven<\/em>.<\/span><\/p>\n\n\n\n

3) 8740 = Eight thousand seven hundred and forty<\/span><\/em><\/p>\n\n\n\n

4) 8001 =Eight thousand and one.<\/span><\/p>\n\n\n\n

IV. Write the number which is represented in the picture
in the place value chart and read.<\/span><\/strong><\/p>\n\n\n\n

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

TH H T U<\/span><\/p>\n\n\n\n

1 3 2 6<\/span><\/p>\n\n\n\n

2)Write the number which is represented in the picture
in the place value chart and read.<\/span><\/strong><\/p>\n\n\n\n

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

Th H T U<\/span><\/p>\n\n\n\n

4 5 4 8<\/span><\/p>\n\n\n\n

How to find a Succeeding number<\/span><\/strong><\/p>\n\n\n\n

To get the succeeding number of a given number, add ‘1’ to it)<\/p>\n\n\n\n

Example<\/span>: The Succeeding number of 6+1 is 7.<\/p>\n\n\n\n

VI. Write the Succeeding number of<\/span><\/strong><\/p>\n\n\n\n

1) 6820 :6821<\/p>\n\n\n\n

2) 3948:3949<\/span><\/p>\n\n\n\n

3) 5201:5202<\/span><\/p>\n\n\n\n

4) 7605:7606<\/span><\/p>\n\n\n\n

5) 4200:4201<\/span><\/p>\n\n\n\n

6) 3999:4000<\/span><\/p>\n\n\n\n

7) 2829:2830<\/span><\/p>\n\n\n\n

8) 3007:3008<\/span><\/p>\n\n\n\n

Preceding: A Preceding is one which a number comes before a number.<\/span><\/p>\n\n\n\n

Preceding number of 5863 is \u2192 (5863-1) = 5862<\/p>\n\n\n\n

VII. Write the preceding number of<\/span> 3925<\/span>, 3926<\/p>\n\n\n\n

1) 5438<\/span>, 5439<\/p>\n\n\n\n

2) 6399<\/span>, 6400<\/p>\n\n\n\n

3) 3569<\/span>, 3570<\/p>\n\n\n\n

4) 4899<\/span>,4900<\/p>\n\n\n\n

5) 4999<\/span>,5000<\/p>\n\n\n\n

6) 3826<\/span>, 3827<\/p>\n\n\n\n

7) 4998<\/span>, 4999<\/p>\n\n\n\n

Middle Number:<\/span><\/strong> is a number which come in the middle between the two number.<\/p>\n\n\n\n

Example: The number between 4 and 6 is 5 so 5 is called the middle number.<\/span><\/p>\n\n\n\n

VIII. Write the middle number.<\/p>\n\n\n\n

  1. 2769, 2770<\/strong><\/span>, 2771<\/li>
  2. 5490, 5491<\/span><\/strong>, 5492<\/li>
  3. 3999, 4000<\/span><\/strong>, 4001<\/li>
  4. 5888, 5889<\/strong><\/span>, 5890<\/li><\/ol>\n\n\n\n

    Expanded form of numbers<\/strong><\/span><\/u><\/p>\n\n\n\n

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

    In expanded form we write using numbers as follows<\/span><\/p>

     2 \u00d7 1000 + 4 \u00d7 100 + 9 \u00d7 10 + 6 \u00d7 1<\/p>

    \u2234 2496 = 2000 + 400 + 90 + 6.<\/p><\/blockquote><\/figure>\n\n\n\n

    Exercise 2.2<\/span><\/strong><\/p>\n\n\n\n

     I. Write the following numbers in the expanded form<\/span><\/strong><\/p>\n\n\n\n

    1) 6487 = 6 x 1000+4 x 100+8 x 10+7 x 1<\/p>\n\n\n\n

    2) 2069 = 2 x 1000+0 x 100+6 x 10+9 x 1<\/p>\n\n\n\n

    3) 5004 =5 x 1000+0 x 100+0 x 100=4 x 1<\/p>\n\n\n\n

    4) 9678 = 9 x 1000+ 6 x 100+ 7 x 10+ 8 x 1<\/p>\n\n\n\n

    II. Write these numbers in general form<\/span><\/strong><\/p>\n\n\n\n

    Example<\/strong> 3 \u00d7 1000 + 4 \u00d7 100 + 8 \u00d7 10 + 2 \u00d7 1<\/span><\/p>\n\n\n\n

    TH<\/span><\/strong><\/td>H<\/span><\/strong><\/td>T<\/span><\/strong><\/td>U<\/span><\/strong><\/td><\/tr>
    3<\/span><\/strong><\/td>4<\/span><\/td>8<\/span><\/td>2<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    =3482<\/span><\/strong><\/p>\n\n\n\n

    1)1 \u00d7 1000 + 3 \u00d7 100 + 6 \u00d7 10 + 5 \u00d7 1<\/p>\n\n\n\n

    TH<\/span><\/strong><\/td>H<\/strong><\/span><\/td>T<\/strong><\/span><\/td>U<\/strong><\/span><\/td><\/tr>
    1<\/span><\/td>3<\/span><\/td>6<\/span><\/td>5<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    =1365<\/span><\/strong><\/p>\n\n\n\n

    2)4 \u00d7 1000 + 0 \u00d7 100 + 7 \u00d7 10 + 9 \u00d71<\/p>\n\n\n\n

    TH<\/span><\/strong><\/td>H<\/span><\/strong><\/td>T<\/span><\/strong><\/td>U<\/span><\/strong><\/td><\/tr>
    4<\/span><\/td>0<\/span><\/td>7<\/span><\/td>9<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    =4079<\/span><\/strong><\/p>\n\n\n\n

    3)8 \u00d7 1000 + 1 \u00d7 100 + 5 \u00d7 10 + 5 \u00d7 1<\/p>\n\n\n\n

    TH<\/span><\/strong><\/td>H<\/span><\/strong><\/td>T<\/span><\/strong><\/td>U<\/span><\/strong><\/td><\/tr>
    8<\/span><\/td>1<\/span><\/td>5<\/span><\/td>5<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    =8155<\/span><\/strong><\/p>\n\n\n\n

    4)6 \u00d7 100 + 3 \u00d7 10 + 2 \u00d7 1<\/p>\n\n\n\n

    H<\/span><\/strong><\/td>T<\/span><\/strong><\/td>U<\/span><\/strong><\/td><\/tr>
    6<\/span><\/td>3<\/span><\/td>1<\/span><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    =632<\/span><\/strong><\/p>\n\n\n\n

    Place value – Face value<\/span><\/strong><\/p>\n\n\n\n

    Place value is the value of each digit in a number.<\/p>\n\n\n\n

    Face value represents the actual value of a digit.<\/p>\n\n\n\n

    Example 1<\/span><\/strong><\/p>\n\n\n\n

    43<\/span><\/strong>78 Face value is 3     place value is 3 x 100 =300<\/p>\n\n\n\n

    Match the following.<\/span><\/strong><\/p>\n\n\n\n

    Number Face value<\/span><\/strong><\/td> Face value<\/span><\/strong><\/td>Place value<\/span><\/strong><\/td><\/tr>
    853<\/strong><\/span><\/span>2<\/td> 3<\/td> 3×10=30<\/td><\/tr>
    32<\/span><\/strong><\/span>67<\/td> 2<\/td> 2×100=200<\/td><\/tr>
    4<\/strong><\/span><\/span>673<\/td> 4<\/td> 4×1000=4000<\/td><\/tr>
    9076<\/span><\/strong><\/span><\/td> 6<\/td> 6×1=6<\/td><\/tr>
    69<\/span><\/strong><\/span>78<\/td> 9<\/td> 9×100=900<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    Exercise 2.3<\/span><\/strong><\/p>\n\n\n\n

    I.Fill in the blanks with suitable Numbers<\/span><\/strong><\/p>\n\n\n\n

    1.The place value of 9 is 900<\/span><\/span> ,Its face value is 9<\/span><\/p>\n\n\n\n

    2.The place value of 70<\/span>,Its face value is 7<\/span><\/p>\n\n\n\n

    II<\/strong>.For each question given below four alternates are given. Choose the correct answer and write it<\/strong>.<\/span><\/p>\n\n\n\n

    1) In 4267, the difference between the place value and face value of 6 is 54<\/span><\/strong><\/span><\/p>\n\n\n\n

    a) 0      b) 1       c) 9         d) 54<\/p>\n\n\n\n

    2) In 3498 the difference of the place value and face value of 4 is 396<\/span><\/strong><\/span><\/p>\n\n\n\n

     a) 496   b) 409   c) 396   d) 90<\/p>\n\n\n\n

     3) In 5435, the difference of the place values of 5 is 4995<\/span><\/strong><\/span><\/p>\n\n\n\n

    a) 999    b) 4005                c) 4995                 d) 5005<\/p>\n\n\n\n

    4) In 1694 the digit whose place value and face value are equal is 4<\/span><\/strong><\/span><\/p>\n\n\n\n

     a) 0        b) 1       c) 4        d) 6<\/p>\n\n\n\n

    III.Write the missing numbers in the following sequence.<\/span><\/strong><\/p>\n\n\n\n

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

    1572, 1574, 1576, 1578,1580,1582<\/p>\n\n\n\n

    The difference of the two consecutive numbers is 1574 – 1572 = 2.<\/p>\n\n\n\n

     Hence write the sequence by adding 2 each time<\/p>\n\n\n\n

    \u2234 1572, 1574, 1576, 1578, 1580, 1582<\/p>\n\n\n\n

    IV.Write the next numbers in the Series.<\/span><\/strong><\/p>\n\n\n\n

    1)5240, 5250, 5260,           5270     5280            5290<\/span><\/strong><\/p>\n\n\n\n

    2)8425, 8450, 8475            8500     8525            8550<\/span><\/strong><\/p>\n\n\n\n

    3)5049, 6049, 7049,           8049    9049        10049<\/span><\/strong><\/p>\n\n\n\n

    Exercise 2.4<\/span><\/strong><\/p>\n\n\n\n

    Complete the number line by writing the missing numbers<\/span><\/p>\n\n\n\n

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

    II.Write the missing numbers in the following number series.<\/span><\/strong><\/p>\n\n\n\n

    1. 2326, 2330, 2334, 2338<\/span><\/strong>, 2342<\/span><\/strong>, 2346<\/span><\/strong>.<\/span><\/li>
    2. 3650 , 3950  4250  4550<\/span><\/strong>, 4850<\/span><\/strong>  5150<\/strong><\/span>.<\/span><\/li><\/ol>\n\n\n\n

      III<\/strong>. Underline  the Greatest Number<\/strong>.<\/span><\/p>\n\n\n\n

      1)3247,  3280<\/span><\/strong><\/span> , 3228,  2267. <\/p>\n\n\n\n

      2)5694,  5384,  5820 , 5973<\/span><\/strong>.<\/span><\/p>\n\n\n\n

      IV.Underline the smallest number<\/span>.<\/span><\/strong><\/p>\n\n\n\n

      1)8826, 8823, 8821<\/span><\/strong><\/span>,<\/span><\/strong> 8829<\/p>\n\n\n\n

      2)5747, 4768, 6000, 3899<\/span><\/strong><\/span><\/p>\n\n\n\n

      Ascending order – Descending order<\/span><\/strong><\/p>\n\n\n\n

      Ascending order<\/span><\/strong>:- Arranging the number from smallest to biggest<\/p>\n\n\n\n

      Descending order<\/span><\/strong>:- Arranging the number from biggest to smallest.<\/p>\n\n\n\n

      Example<\/strong> : 679, 368, 796, 697<\/p>\n\n\n\n

      Ascending order<\/strong> : 368, 679, 697, 796<\/p>\n\n\n\n

      Exercise 2.5<\/span><\/strong><\/p>\n\n\n\n

      I.Write The Numbers In Ascending Order.<\/span><\/strong><\/p>\n\n\n\n

      1. 5839, 5093, 5872, 5829<\/p>\n\n\n\n

      Ascending Order<\/strong>: 5093, 5829, 5839, 5872<\/span><\/p>\n\n\n\n

      2. 2167, 1679, 3847, 500<\/p>\n\n\n\n

      Ascending Order<\/strong>: 500, 1679, 2167, 3847.<\/span><\/p>\n\n\n\n

      Descending order<\/span><\/strong><\/p>\n\n\n\n

      Example<\/strong> 5420,  5840,  4696,  4890<\/p>\n\n\n\n

      Descending order: <\/strong>5840, 5420, 4890, 4696<\/p>\n\n\n\n

      II.Arrange the following numbers on the steps in descending order.<\/strong><\/span><\/p>\n\n\n\n

      1) 3856,  3656,  3695, 3965<\/p>\n\n\n\n

      Descending order:<\/strong> 3965, 3856, 3695, 3656<\/span><\/p>\n\n\n\n

      2) 8620, 8629, 8630, 8624<\/p>\n\n\n\n

      Descending order: <\/strong>8630, 8629, 8624, 8620.<\/span><\/p>\n\n\n\n

      Exercise 2.6<\/span><\/strong><\/p>\n\n\n\n

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

      1. The greatest number that can be formed using the digits 4, 6 , 8 5, is  8654<\/span><\/strong><\/span><\/li>
      2. 3,046 is  4<\/span><\/strong><\/span> <\/span><\/strong>digit number.<\/li>
      3. 0,734<\/span><\/span><\/strong> is 4 digit number.<\/li>
      4. The smallest four-digit number that can be formed using the digits 3 1, , 0 9 , is 1039<\/span><\/span><\/strong><\/li><\/ol>\n\n\n\n

        II.Write as directed.<\/span><\/strong><\/p>\n\n\n\n

        1) 5, 8, 7 and 2 By using these digits,<\/p>\n\n\n\n

        The greatest four digit number that can be formed is  8752<\/span><\/span><\/strong><\/p>\n\n\n\n

        The smallest four digit number that can be formed is 2578<\/span><\/strong>.<\/span><\/p>\n\n\n\n

         2) 2, 8, 9 and 0. By using these digits<\/p>\n\n\n\n

        The greatest four digit number that can be formed is 9820<\/span><\/strong>.<\/span><\/p>\n\n\n\n

        The smallest four digit number that can be formed is 2089.<\/span><\/strong><\/span><\/p>\n\n\n\n

        3) 3, 5, 2 and 9. By using these digits<\/p>\n\n\n\n

        The greatest four digit number that can be formed is  9532<\/span><\/span><\/strong><\/p>\n\n\n\n

        The smallest four digit number that can be formed is  2359<\/span><\/span><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

        Summary of numbers Solved exercise of number Summary A\u00a0number\u00a0is a mathematical object used to count, measure, and label.\u00a0 Examples are the natural numbers 1, 2, 3, 4 etc. 4 Digit Number There are four...<\/p>\n","protected":false},"author":3,"featured_media":875,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[475,14],"tags":[],"class_list":["post-838","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-posts-in-english","category-mathematics"],"cp_meta_data":{"_edit_lock":["1630143637:2"],"_edit_last":["2"],"_layout":["inherit"],"_oembed_95287caaddeb112cd4edfcbd8e525566":["