High School

2. Add by counting in tens.

a. 33 + 25
b. 37 + 31
c. 62 + 26
d. 45 + 34
e. 23 + 48
f. 19 + 38

3. Add by breaking up both numbers.

a. 23 + 42
b. 55 + 34
c. 34 + 36
d. 53 + 27
e. 75 + 26
f. 69 + 42

Answer :

To solve these problems, we'll use two methods: adding by counting in tens and adding by breaking up the numbers. Let's take a look at each strategy for the given problems.

2. Add by counting in tens:

a. 33 + 25

  1. Break the second number, 25, into tens and ones: 20 + 5.
  2. Add 33 and 20: [tex]33 + 20 = 53[/tex].
  3. Finally, add the 5: [tex]53 + 5 = 58[/tex].

b. 37 + 31

  1. Break the second number, 31, into tens and ones: 30 + 1.
  2. Add 37 and 30: [tex]37 + 30 = 67[/tex].
  3. Finally, add the 1: [tex]67 + 1 = 68[/tex].

c. 62 + 26

  1. Break the second number, 26, into tens and ones: 20 + 6.
  2. Add 62 and 20: [tex]62 + 20 = 82[/tex].
  3. Finally, add the 6: [tex]82 + 6 = 88[/tex].

d. 45 + 34

  1. Break the second number, 34, into tens and ones: 30 + 4.
  2. Add 45 and 30: [tex]45 + 30 = 75[/tex].
  3. Finally, add the 4: [tex]75 + 4 = 79[/tex].

e. 23 + 48

  1. Break the second number, 48, into tens and ones: 40 + 8.
  2. Add 23 and 40: [tex]23 + 40 = 63[/tex].
  3. Finally, add the 8: [tex]63 + 8 = 71[/tex].

f. 19 + 38

  1. Break the second number, 38, into tens and ones: 30 + 8.
  2. Add 19 and 30: [tex]19 + 30 = 49[/tex].
  3. Finally, add the 8: [tex]49 + 8 = 57[/tex].

3. Add by breaking up both numbers:

a. 23 + 42

  1. Break 23 into 20 + 3 and 42 into 40 + 2.
  2. Add the tens: [tex]20 + 40 = 60[/tex].
  3. Add the ones: [tex]3 + 2 = 5[/tex].
  4. Combine the results: [tex]60 + 5 = 65[/tex].

b. 55 + 34

  1. Break 55 into 50 + 5 and 34 into 30 + 4.
  2. Add the tens: [tex]50 + 30 = 80[/tex].
  3. Add the ones: [tex]5 + 4 = 9[/tex].
  4. Combine the results: [tex]80 + 9 = 89[/tex].

c. 34 + 36

  1. Break 34 into 30 + 4 and 36 into 30 + 6.
  2. Add the tens: [tex]30 + 30 = 60[/tex].
  3. Add the ones: [tex]4 + 6 = 10[/tex].
  4. Combine the results: [tex]60 + 10 = 70[/tex].

d. 53 + 27

  1. Break 53 into 50 + 3 and 27 into 20 + 7.
  2. Add the tens: [tex]50 + 20 = 70[/tex].
  3. Add the ones: [tex]3 + 7 = 10[/tex].
  4. Combine the results: [tex]70 + 10 = 80[/tex].

e. 75 + 26

  1. Break 75 into 70 + 5 and 26 into 20 + 6.
  2. Add the tens: [tex]70 + 20 = 90[/tex].
  3. Add the ones: [tex]5 + 6 = 11[/tex].
  4. Combine the results: [tex]90 + 11 = 101[/tex].

f. 69 + 42

  1. Break 69 into 60 + 9 and 42 into 40 + 2.
  2. Add the tens: [tex]60 + 40 = 100[/tex].
  3. Add the ones: [tex]9 + 2 = 11[/tex].
  4. Combine the results: [tex]100 + 11 = 111[/tex].

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