Page 36 - Math Genius C3
P. 36

E:\Working\Orange_Education\Math_Genius_3\Open_Files\CHAP_02
               \ 01-Oct-2025  Bharat Arora   Proof-10                                   Reader’s Sign _______________________ Date __________





              Step 2: Add the tens.                                                                      H    t   O                      Addition of three 3-digit numbers

                        1 (carried over) + 5 + 6 = 12 tens                                                1   1                          Adding three 3-digit numbers is the same as adding two 3-digit numbers.

                        Regroup 12 tens into 1 hundred and 2 tens.                                       2    5   4                      Let us add 217 + 342 + 153. Arrange the numbers in the place value columns and follow
                        Write 2 in the tens place and carry over 1 hundred to the hundreds            + 1     6   8                      the given steps:

                        column.                                                                               2   2                      Step 1: Add the ones.                                                                      H    t   O
              Step 3: Add the hundreds.                                                                  H    t   O                               7 + 2 + 3 = 12 ones = 1 ten + 2 ones.                                             1    1

                        1 (carried over) + 2 + 1 = 4 hundreds                                             1   1                                   Write 2 in the ones column and carry over 1 ten to the tens                       2    1   7

                        Write 4 in the hundreds column.                                                  2    5   4                               column.                                                                           3    4   2

                        Thus, 254 + 168 = 422.                                                        + 1     6   8                      Step 2: Add the tens.                                                                   + 1     5   3
                                                                                                         4    2   2                                                                                                                 7    1   2
              Addition of 3-digit numbers by regrouping hundreds                                                                                  1 (carried over) + 1 + 4 + 5 = 11 tens = 1 hundred + 1 ten.
                                                                                                                                                  Write 1 in the tens column and carry over 1 hundred to the
              When we have more than 9 hundreds, say 10 hundreds, we can regroup the 10 hundreds                                                  hundreds column.
              into 1 thousand and 0 hundreds.                                                                                            Step 3: Add the hundreds.

                                                                                                                                                  1 (carried over) + 2 + 3 + 1 = 7 hundreds.
                                                                               =                                                                  Write 7 in the hundreds column.


                                       10 hundreds                                           1 thousand                                           Thus, 217 + 342 + 153 = 712.

              Example 4: Add 765 and 389.                                                                                                       Think Tank                                                                               Logical Thinking
              Solution:   Write the numbers in the place value columns.                                                                                                                                                 182
              Step 1: Add the ones.                                                                       H    t   O                           Find the missing numbers in the addition pyramid.
                                                                                                                                               Hint: Each block (except the bottom row) has the sum of the
                        5 + 9 = 14 ones                                                                        1                               two numbers below it.                                             20   26 48 22  18
                          Regroup 14 ones into 1 ten and 4 ones.                                          7    6   5

                          Write 4 in the ones column and carry over 1 to the tens column.              + 3     8   9                             practice time 2B
                                                                                                                   4

              Step 2: Add the tens.                                                                       H    t   O                     1.  Add the following. Identify which place values need regrouping.
                        1 (carried over) + 6 + 8 = 15 tens                                                1    1                              (a)    H    t   O               (b)      H   t    O               (c)     H   t    O

                        = 1 hundred and 5 tens.                                                           7    6   5                                  7   0    9                       5   2    3                       7   8    5

                          Write 5 in the tens column and carry over 1 to the hundreds                  + 3     8   9                              + 1     0    4                   + 1     8    3                    + 1    1    5
                        column.                                                                                5   4
              Step 3: Add the hundreds.                                                                th H t O                          2.  Find the sum of the following.

                          1 (carried over) + 7 + 3 = 11 hundreds                                        1   1   1                            (a)     H    t   O               (b)      H    t   O               (c)     H   t    O
                        Regroup 11 hundreds into 1 thousand and 1 hundred. Write 1 in                       7 6 5
                                                                                                                                                      2
                                                                                                                                                                                       5
                                                                                                                                                                                                                        3
                        the hundreds column and 1 thousand in the thousands column.                  +      3 8 9                                 + 3     4    7                   + 3      4   9                    + 2    5    8
                                                                                                                                                                                                                            7
                                                                                                                                                                                            6
                                                                                                                                                                                                4
                                                                                                                                                                                                                                 0
                                                                                                                                                          3
                                                                                                                                                               5
                        Thus, 765 + 389 = 1154.                                                         1 1 5 4
              34                                                                                    Mathematics-3
   31   32   33   34   35   36   37   38   39   40   41