Standards Map

Mathematics > Grade 5 > Number and Operations in Base Ten
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Mathematics | Grade : 5

Domain - Number and Operations in Base Ten

Cluster - Perform operations with multi-digit whole numbers and with decimals to hundredths.

[5.NBT.B.5] - Fluently multiply multi-digit whole numbers. (Include two-digit x four-digit numbers and, three-digit x three-digit numbers) using the standard algorithm.

Resources:


  • Digit
    a) Any of the Arabic numerals 1 to 9 and usually the symbol 0; b) One of the elements that combine to form numbers in a system other than the decimal system.
  • Fluency
    Fluency in the grades 1–6 standards is the ability to carry out calculations and apply numerical algorithms quickly and accurately. Fluency in each grade involves a mixture of knowing some answers from memory (instant recall), knowing some answers from patterns (e.g., “adding 0 yields the same number”), and knowing some answers from the use of other strategies. The development of fluency follows a specific progression in these grades that begins with conceptual understanding and eventually requires students to “know from memory their math facts,” use various strategies to arrive at answers, and develop proficiency using the standard algorithm for each operation. (See standards 1.OA.B.3, 2.OA.B.2, 3.OA.B.5, 3.OA.C.7 and 3.NBT.A.2, 4.NBT.B.4, 5.NBT.B.5, 6.NS.B.2 and 6.NS.B.3.)
  • Standard algorithm
    One of the conventional algorithms used in the United States based on place value and properties of operations for addition, subtraction, multiplication, and division. (See standards 4.NBT.B.4, 5.NBT.B.5, and 6.NS.B.2).
  • Standard Algorithms for Multiplication and Division
  • Whole numbers
    The numbers 0, 1, 2, 3,...
  • Ambassador Task: Exam Schools

Predecessor Standards:

  • 4.NBT.B.4
    Fluently add and subtract multi-digit whole numbers using the standard algorithm.
  • 4.NBT.B.5
    Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Successor Standards:

  • 6.NS.B.3
    Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

Same Level Standards:

  • 5.NBT.A.1
    Recognize that in a multi-digit number, including decimals, a digit in any place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
  • 5.NBT.A.2
    Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.
  • 5.NBT.B.6
    Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
  • 5.NBT.B.7
    Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction and between multiplication and division; relate the strategy to a written method and explain the reasoning used.