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Complete the following addition problems using base-ten blocks and show your work for each step.

Mathematics

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Step-by-step solution

12 steps

Here are the completed rows for the table:

Row 1: 38+25=38 + 25 =

  1. Add the units.

    8 units+5 units=13 units8 \text{ units} + 5 \text{ units} = 13 \text{ units}

  2. Add the tens.

    3 tens+2 tens=5 tens3 \text{ tens} + 2 \text{ tens} = 5 \text{ tens}

  3. Combine and write the number.

    5 tens+13 units=50+13=635 \text{ tens} + 13 \text{ units} = 50 + 13 = 63

    Row 2: 77+31=77 + 31 =

  4. Add the units.

    7 units+1 unit=8 units7 \text{ units} + 1 \text{ unit} = 8 \text{ units}

  5. Add the tens.

    7 tens+3 tens=10 tens7 \text{ tens} + 3 \text{ tens} = 10 \text{ tens}

  6. Combine and write the number.

    10 tens+8 units=100+8=10810 \text{ tens} + 8 \text{ units} = 100 + 8 = 108

    Row 3: 68+45=68 + 45 =

  7. Add the units.

    8 units+5 units=13 units8 \text{ units} + 5 \text{ units} = 13 \text{ units}

  8. Add the tens.

    6 tens+4 tens=10 tens6 \text{ tens} + 4 \text{ tens} = 10 \text{ tens}

  9. Combine and write the number.

    10 tens+13 units=100+13=11310 \text{ tens} + 13 \text{ units} = 100 + 13 = 113

    Row 4: 83+47=83 + 47 =

  10. Add the units.

    3 units+7 units=10 units3 \text{ units} + 7 \text{ units} = 10 \text{ units}

  11. Add the tens.

    8 tens+4 tens=12 tens8 \text{ tens} + 4 \text{ tens} = 12 \text{ tens}

  12. Combine and write the number.

    12 tens+10 units=120+10=13012 \text{ tens} + 10 \text{ units} = 120 + 10 = 130

    Here is the completed table:

    Use base ten blocks to make these two numbers.All together how many tens? how many units?Did you group tens or units? Check the place value where you regrouped.Write the number.
    23+99=23 + 99 = 11 tens, 12 units11 tens + 12 units = 110 + 12122
    38+25=38 + 25 = 5 tens, 13 units5 tens + 13 units = 50 + 1363
    77+31=77 + 31 = 10 tens, 8 units10 tens + 8 units = 100 + 8108
    68+45=68 + 45 = 10 tens, 13 units10 tens + 13 units = 100 + 13113
    83+47=83 + 47 = 12 tens, 10 units12 tens + 10 units = 120 + 10130
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