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 - Understand the place value system.

[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.


Resources:


  • Decimal number
    Any real number expressed in base ten notation, such as 2.673.
  • 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.

Predecessor Standards:

  • 4.NBT.A.1
    Recognize that in a multi-digit whole number, a digit in any place represents 10 times as much as it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.
  • 4.NF.C.5
    Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.
  • 4.NF.C.6
    Use decimal notation to represent fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.
  • 4.NF.C.7
    Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • 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.A.3
    Read, write, and compare decimals to thousandths.
  • 5.NBT.A.4
    Use place value understanding to round decimals to any place.
  • 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.
  • 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.