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Overview
Overview
This standard calls for students to reason about the magnitude of numbers. Students should work with the idea that the tens place is ten times as much as the ones place, and the ones place is 1/10th the size of the tens place.
In fourth grade, students examined the relationships of the digits in numbers for whole numbers only. This standard extends this understanding to the relationship of decimal fractions.
M.5.1.1 - Students will identify numbers from the range of ten thousandths to billions.
M.5.1.1 - Students will identify numbers from the range of ten thousandths to billions.
M.5.1.2 - Explain that in a multi-digit number, a digit in one 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.
M.5.1.2 - Explain that in a multi-digit number, a digit in one 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.
M.5.1.3 Students will use whole-number exponents to denote powers of 10.
M.5.1.3 Students will use whole-number exponents to denote powers of 10.
M.5.1.4 Students will solve for the product when multiplying a number by powers of ten.
M.5.1.4 Students will solve for the product when multiplying a number by powers of ten.
M.5.1.5 Students will explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.
M.5.1.5 Students will explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10.
M.5.1.6 Students will read and write decimals to the thousandths using base-ten numerals, number names, and expanded form.
M.5.1.6 Students will read and write decimals to the thousandths using base-ten numerals, number names, and expanded form.
M.5.1.7 Students will compare and order two decimals based on the digits in each place, using less than (<), greater than (>), or equal to (=) symbols to record the results of the comparison
M.5.1.7 Students will compare and order two decimals based on the digits in each place, using less than (<), greater than (>), or equal to (=) symbols to record the results of the comparison
M.5.1.8 Students will apply concepts of place value to round decimals to any place.
M.5.1.8 Students will apply concepts of place value to round decimals to any place.
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