{"id":177,"date":"2022-04-08T05:10:04","date_gmt":"2022-04-08T05:10:04","guid":{"rendered":"http:\/\/6thclass.deltapublications.in\/?page_id=177"},"modified":"2024-12-12T05:12:47","modified_gmt":"2024-12-12T05:12:47","slug":"k-3-evaluate-numerical-expressions","status":"publish","type":"page","link":"https:\/\/6thclass.deltapublications.in\/index.php\/k-3-evaluate-numerical-expressions\/","title":{"rendered":"K.3 Evaluate numerical expressions"},"content":{"rendered":"\n

Evaluate numerical expressions<\/strong><\/h2>\n\n\n\n

Key Notes :<\/p>\n\n\n\n

To evaluate an expression with multiple operations, you can follow the order<\/strong> of <\/strong>operations<\/strong>:<\/p>\n\n\n\n

    \n
  1. Perform operations inside parentheses and brackets. Start with the operations in the inner parentheses or brackets, evaluating the expression from the  inside  out.<\/li>\n\n\n\n
  2. Evaluate the exponents.<\/li>\n\n\n\n
  3. Multiply and divide from left to right.<\/li>\n\n\n\n
  4. Add and subtract from left to right.<\/li>\n<\/ol>\n\n\n\n

    Order of operations:<\/p>\n\n\n\n

    How can you simplify an expression like this one?<\/p>\n\n\n\n

    2\u00d75+(14\u20136)\u00f72\u00b2\u20131<\/p>\n\n\n\n

    It’s important to follow the order of operations! Otherwise, you might get the wrong answer. The order of operations tells you which steps to do first.<\/p>\n\n\n\n

    What is the order of operations?<\/h4>\n\n\n\n
      \n
    1. Perform operations inside parentheses<\/strong>.<\/li>\n\n\n\n
    2. Evaluate exponents.<\/li>\n\n\n\n
    3. Multiply<\/strong> and divide<\/strong> from left to right.<\/li>\n\n\n\n
    4. Add<\/strong> and subtract<\/strong> from left to right.<\/li>\n<\/ol>\n\n\n\n

      Let’s try an example!<\/p>\n\n\n\n

      The steps below show how to simplify an expression using the order of operations. <\/p>\n\n\n\n

      Let’s try it for 2 \u00d7 5 + ( 14 \u2013 6 ) \u00f7 2 \u00b2 \u2013 1 .<\/p>\n\n\n\n

      Perform operations inside parentheses. <\/p>\n\n\n\n

      2 \u00d7 5 + ( 14 \u2013 6 ) \u00f7 2 \u00b2 \u2013 1<\/p>\n\n\n\n

      2 \u00d7 5 + 8 \u00f7 2 \u00b2 \u2013 1<\/p>\n\n\n\n

      Evaluate exponents. <\/p>\n\n\n\n

      2 \u00d7 5 + 8 \u00f7 2 \u00b2 \u2013 1<\/p>\n\n\n\n

      2 \u00d7 5 + 8 \u00f7 4 \u2013 1<\/p>\n\n\n\n

      3. Multiply and divide from left to right. Start with 2\u00d75, since it’s farther left.<\/p>\n\n\n\n

      \u00d75+8\u00f74\u20131<\/p>\n\n\n\n

      10+8\u00f74\u20131<\/p>\n\n\n\n

      Now do 8\u00f74.<\/p>\n\n\n\n

      10+8\u00f74\u20131<\/p>\n\n\n\n

      10+2\u20131<\/p>\n\n\n\n

      4. Add and subtract from left to right. Start with 10+2, since it’s farther left.<\/p>\n\n\n\n

      10+2\u20131<\/p>\n\n\n\n

      12\u20131<\/p>\n\n\n\n

      Almost there!<\/p>\n\n\n\n

      12\u20131<\/p>\n\n\n\n

      11<\/p>\n\n\n\n

      So, 2 \u00d7 5 + ( 14 \u2013 6 ) \u00f7 2 \u00b2 \u2013 1 = 11 !<\/p>\n\n\n\n

      How can you remember the order of operations?<\/p>\n\n\n\n

      Say PEMDAS:<\/p>\n\n\n\n