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Add the following: a) 12 + 26 + 34 b) 51 + 10 + 26 c) 41 + 14 + 28 d) 175 + 138 Regroup and find the number: a) 2 tens + 16 ones b) 5 tens + 20 ones c) 4 tens + 32 ones d) 7 tens + 17 ones

Mathematics

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Step-by-step solution

20 steps

1. Add the following:

a) The sum is already provided.

12+26+34=7212 + 26 + 34 = \boxed{72}

b) The sum is already provided.

51+10+26=8751 + 10 + 26 = \boxed{87}

c) The sum is already provided.

41+14+28=8341 + 14 + 28 = \boxed{83}

d)

  1. Add the ones column.

    5+6+8=195 + 6 + 8 = 19

    Write down 9, carry over 1 to the tens column.

  2. Add the tens column, including the carry-over.

    7+1+3+1=127 + 1 + 3 + 1 = 12

    Write down 2, carry over 1 to the hundreds column.

  3. Add the hundreds column, including the carry-over.

    1+1=21 + 1 = 2

    The total is 229\boxed{229}.

    2. Regroup and find the number.

    a) 2 tens + 16 ones

  4. Regroup 16 ones into tens and ones.

    16 ones=1 ten+6 ones16 \text{ ones} = 1 \text{ ten} + 6 \text{ ones}
  5. Add the tens and ones.

    2 tens+1 ten+6 ones=3 tens+6 ones=362 \text{ tens} + 1 \text{ ten} + 6 \text{ ones} = 3 \text{ tens} + 6 \text{ ones} = \boxed{36}

    b) 5 tens + 20 ones

  6. Regroup 20 ones into tens and ones.

    20 ones=2 tens+0 ones20 \text{ ones} = 2 \text{ tens} + 0 \text{ ones}
  7. Add the tens and ones.

    5 tens+2 tens+0 ones=7 tens+0 ones=705 \text{ tens} + 2 \text{ tens} + 0 \text{ ones} = 7 \text{ tens} + 0 \text{ ones} = \boxed{70}

    c) 4 tens + 32 ones

  8. Regroup 32 ones into tens and ones.

    32 ones=3 tens+2 ones32 \text{ ones} = 3 \text{ tens} + 2 \text{ ones}
  9. Add the tens and ones.

    4 tens+3 tens+2 ones=7 tens+2 ones=724 \text{ tens} + 3 \text{ tens} + 2 \text{ ones} = 7 \text{ tens} + 2 \text{ ones} = \boxed{72}

    d) 7 tens + 17 ones

  10. Regroup 17 ones into tens and ones.

    17 ones=1 ten+7 ones17 \text{ ones} = 1 \text{ ten} + 7 \text{ ones}
  11. Add the tens and ones.

    7 tens+1 ten+7 ones=8 tens+7 ones=877 \text{ tens} + 1 \text{ ten} + 7 \text{ ones} = 8 \text{ tens} + 7 \text{ ones} = \boxed{87}

    3. Twenty-four children from class 2A, 18 children from class 2B, and 4 children from class 2C participated in a quiz competition. How many participants were there in the competition?

  12. Add the number of children from each class.

    24 (Class 2A)+18 (Class 2B)+4 (Class 2C)=46 children24 \text{ (Class 2A)} + 18 \text{ (Class 2B)} + 4 \text{ (Class 2C)} = 46 \text{ children}

    There were 46\boxed{46} participants in the competition.

    4. In a book fair, 96 people visited on the first day and 54 people visited on the second day. How many people visited the book fair in two days?

  13. Add the number of visitors from the first day and the second day.

    96 (Day 1)+54 (Day 2)=150 people96 \text{ (Day 1)} + 54 \text{ (Day 2)} = 150 \text{ people}

    150\boxed{150} people visited the book fair in two days.

    5. Naomi read 100 pages of a storybook in the first week and 90 pages in the second week. How many pages did she read in the two weeks?

  14. Add the number of pages read in the first week and the second week.

    100 (First week)+90 (Second week)=190 pages100 \text{ (First week)} + 90 \text{ (Second week)} = 190 \text{ pages}

    Naomi read 190\boxed{190} pages in the two weeks.

    6. A farmer has 23 cows, 18 horses, and 14 goats. How many animals does he have?

  15. Add the number of cows, horses, and goats.

    23 (cows)+18 (horses)+14 (goats)=55 animals23 \text{ (cows)} + 18 \text{ (horses)} + 14 \text{ (goats)} = 55 \text{ animals}

    The farmer has 55\boxed{55} animals.

    7. Add the following:

    a)

  16. Add the numbers.

    23+45+63=13123 + 45 + 63 = 131

    The sum is 131\boxed{131}.

    b)

  17. Add the numbers.

    62+74+43=17962 + 74 + 43 = 179

    The sum is 179\boxed{179}.

    c)

  18. Add the numbers.

    122+31=153122 + 31 = 153

    The sum is 153\boxed{153}.

    d) (Assuming the last number is 10)

  19. Add the numbers.

    120+45+10=175120 + 45 + 10 = 175

    The sum is 175\boxed{175}.

    8. There are 43 students in class 1, 52 students in class 2, and 49 students in class 3. How many students are there in all the three classes?

  20. Add the number of students from each class.

    43 (Class 1)+52 (Class 2)+49 (Class 3)=144 students43 \text{ (Class 1)} + 52 \text{ (Class 2)} + 49 \text{ (Class 3)} = 144 \text{ students}

    There are 144\boxed{144} students in all three classes.

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