Mathematics » Grade 2 » Number & Operations in Base Ten

Understand place value.

• 1. Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases:

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  • 100 can be thought of as a bundle of ten tens — called a “hundred.”

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  • The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

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• 2. Count within 1000; skip-count by 5s, 10s, and 100s.

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• 3. Read and write numbers to 1000 using base-ten numerals, number names, and expanded form.

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• 4. Compare two three-digit numbers based on meanings of the hundreds, tens, and ones digits, using >, =, and < symbols to record the results of comparisons.

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Use place value understanding and properties of operations to add and subtract.

• 5. Fluently add and subtract within 100 using strategies based on place value, properties of operations, and/or the relationship between addition and subtraction.

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• 6. Add up to four two-digit numbers using strategies based on place value and properties of operations.

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• 7. Add and subtract within 1000, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.

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• 8. Mentally add 10 or 100 to a given number 100–900, and mentally subtract 10 or 100 from a given number 100–900.

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• 9. Explain why addition and subtraction strategies work, using place value and the properties of operations.¹

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