Place Value

ESSENTIAL UNDERSTANDING:

• In the base-ten system, the value of each place is 10 times the value of the place to the immediate right and 1/10 of the value to its immediate left.

• There are patterns in a number of zeros when multiply or dividing a number by a power of ten

• Each period of three digits separated by commas is read as hundreds, tens and ones, followed (when appropriate) by the name of the period, eg.., 123,456 is read as one hundred twenty-three thousand, four hundred fifty-six.

• In a decimal number, digits to the right of the decimal point are named by the appropriate unit: tenths, hundredths, thousandths.

• In a decimal number, the digits to the right of the decimal point are read followed by the name of the appropriate unit.

• When reading a decimal number, the decimal point is read as AND.

• Decimals to thousandths can be expressed in standard form, word for, and expanded form.

• Two decimals to thousandths can be compared using the symbols >, = <

• Rounding helps solve problems mentally & assess the reasonableness of an answer.

Student I Can Statements:

• I can look at a multi-digit number & determine that the digit to the left is 10 times greater than a given digit.

• I can determine that in a multi-digit number, a digit to the right is 1/10 of the given digit.

• I can explain place value in our number system & how powers of 10 are used in multiplication, division & decimals

• I can explain the pattern that occurs when multiplying and/or dividing by a power of 10.

• I can correctly read decimal numbers to the thousandths place.

• I can write decimals to the thousandths using expanded, standard and word form.

• I can compare decimals based on the value of the digits & record the answer using <, >, & = symbols.

• I can round numbers to the millions & explain the reasoning (not just a rule).

• I can round decimals to any given place value.