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Adding Within 100: Grade 2 Math Lesson – PDF Download

    Adding Within 100 – Grade 2 math lesson

    This grade 2 add within 100 lesson explains adding within 100 in one printable page, with definitions, a method and a worked example.

    To add two-digit numbers, add the tens and add the ones, then combine the results. When the ones make 10 or more, regroup: 10 ones become 1 ten. In 38 + 27 the ones are 8 + 7 = 15, so the sum is 65. You can also add three or four two-digit numbers.

    Grade 2Common Core: 2.NBT.B.5 · 2.NBT.B.6

    Grade 2 Add Within 100 Lesson: key facts

    • Add tens to tens and ones to ones, then combine the parts.
    • Regroup when the ones make 10 or more: 10 ones become 1 ten.
    • An open number line adds by jumping tens first and then ones.
    • Numbers can be added in any order, so group the easy pairs first.
    • Add three or four two-digit numbers two at a time.

    How do you add two-digit numbers without regrouping?

    Every two-digit number has tens and ones. To add \(34+25\), add the tens: \(30+20=50\). Add the ones: \(4+5=9\). Then put them together: \(50+9=59\).

    34+25=59
    Three tens and four ones plus two tens and five ones makes five tens and nine ones.

    What is regrouping?

    Regrouping

    Regrouping means trading 10 ones for 1 ten. A ten rod is worth the same as 10 small cubes.

    Try \(38+27\). The ones are \(8+7=15\). That is 1 ten and 5 ones. Trade the 10 ones for a new ten rod.

    38+2765
    The orange rod is the new ten made from 10 ones. The sum is 6 tens and 5 ones, or 65.
    1. Add the ones.
    2. If there are 10 or more ones, regroup 10 ones as 1 ten.
    3. Add the tens, and include the new ten.
    4. Write the tens and ones together.

    Example: \(47+36\). The ones are \(7+6=13\), which is 1 ten and 3 ones. The tens are \(4+3+1=8\). The sum is \(83\).

    How can an open number line help?

    Start at the first number. Jump by tens, then jump by ones. To find \(46+28\), jump 20 and then 8.

    466674+20+8
    From 46 jump 20 to 66, then jump 8 to 74. So 46 + 28 = 74.

    How do you add three or four two-digit numbers?

    Add two numbers at a time. Look for pairs that are easy. Because you can add numbers in any order, you can group the pairs you like.

    12233114354580
    Add pairs first: 12 + 23 = 35 and 31 + 14 = 45. Then 35 + 45 = 80.
    Any order

    Numbers can be added in any order, and any two can be added first. The sum stays the same.

    Strategy Example
    Break apart tens and ones \(46+37=(40+30)+(6+7)=70+13=83\)
    Jump on an open number line \(46+28: 46, 66, 74\)
    Add pairs first \(12+23+31+14=35+45=80\)

    Adding Within 100: frequently asked questions

    What does regroup mean when adding?

    Regroup means trading 10 ones for 1 ten. In \(38+27\), the ones make 15, so 10 ones become 1 more ten and 5 ones stay.

    When do I need to regroup?

    Regroup when the ones add up to 10 or more. For \(24+35\), \(4+5=9\), so no regrouping is needed.

    How do I add three two-digit numbers?

    Add the first two numbers, then add the third to that sum. For \(20+30+40\), add \(20+30=50\) and then \(50+40=90\).

    Can I add numbers in any order?

    Yes. The order does not change the sum. You can add the pair that is easiest first, such as \(18+22=40\) before adding other numbers.

    How can I check my answer?

    Use subtraction. If \(64+19=83\), then \(83-19\) must equal 64. If it does not, look for a missed regroup.

    How to use this grade 2 add within 100 lesson

    Use this grade 2 add within 100 lesson before the worksheet, then check what you learned with the quiz.

    Next step after this grade 2 add within 100 lesson: Adding Within 100 worksheet

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