Examples for

Common Core Math: Numbers in Base Ten

From kindergarten to fifth grade, students build an understanding of whole numbers in terms of place values in base 10. Students begin by decomposing two-digit numbers into 10s and 1s places. Gradually, students generalize their understanding of place value to determine the place value of a digit in any position in a number, including digits after a decimal point. Place value provides a conceptual foundation for adding and subtracting and, eventually, multiplying and dividing numbers. Students also use place value reasoning to round numbers to a given place and to compare the values of two numbers.

Common Core Standards

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Grade 1

Describe place value and perform addition and subtraction up to 120.

Describe the place values of a number (CCSS.Math.Content.1.NBT.B.2):

Compare the magnitudes of numbers (CCSS.Math.Content.1.NBT.B.3):

Add whole numbers (CCSS.Math.Content.1.NBT.C.4):

Subtract with multiples of 10 (CCSS.Math.Content.1.NBT.C.6):

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Grade 4

Use place value to analyze numbers and perform addition, subtraction, multiplication and division.

Interpret a number in terms of place value (CCSS.Math.Content.4.NBT.A.1):

Compare the magnitudes of numbers (CCSS.Math.Content.4.NBT.A.2):

Add and subtract whole numbers (CCSS.Math.Content.4.NBT.B.4):

Multiply whole numbers (CCSS.Math.Content.4.NBT.B.5):

Divide whole numbers (CCSS.Math.Content.4.NBT.B.6):

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Kindergarten

Explore the 10s and 1s places of numbers up to 19.

Decompose a number into 10s and 1s (CCSS.Math.Content.K.NBT.A.1):

Compose a number with 10 (CCSS.Math.Content.K.NBT.A.1):

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Grade 2

Describe place value and perform addition and subtraction up to one thousand.

Describe the place values of a number (CCSS.Math.Content.2.NBT.A.1):

Compare the magnitudes of numbers (CCSS.Math.Content.2.NBT.A.4):

Add and subtract whole numbers (CCSS.Math.Content.2.NBT.B.7):

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Grade 5

Use place value to perform arithmetic, including with numbers expressed as decimals.

Interpret a number in terms of place value (CCSS.Math.Content.5.NBT.A.1):

Compare the magnitudes of numbers (CCSS.Math.Content.5.NBT.A.3b):

Round a number to any place value (CCSS.Math.Content.5.NBT.A.4):

Perform arithmetic with decimals (CCSS.Math.Content.5.NBT.B.7):

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Step-by-Step Solutions for Arithmetic

Pre-Algebra Web App

Free Unlimited Arithmetic Practice Problems

RELATED EXAMPLES

  • Common Core Math: Algebraic Thinking
  • Common Core Math: Fractions
  • Common Core Math: Geometry
  • Common Core Math: Measurement & Data
  • Common Core Math: Number System
  • Elementary Math
  • Grade 3

    Use place value to round numbers and perform addition, subtraction and multiplication.

    Round a number to a given place (CCSS.Math.Content.3.NBT.A.1):

    Add and subtract whole numbers (CCSS.Math.Content.3.NBT.A.2):

    Multiply single-digit whole numbers (CCSS.Math.Content.3.NBT.A.3):

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