The Whole Number and Decimal Place Value Unit involves understanding and representing the relative position, magnitude and relationships within the numeration system in order to answer questions such as:

• How can you use the base ten property of place value to explain the relationship between each of the digits in the number 555,555.55?

• How can you use the additive property of place value (expanded notation) to decompose this number 9,876,543.21?

• How can you use the multiplicative property of place value to describe the meaning of each digit in the number 9,876,543.21? (For example, since the 6 is in the thousands place, multiplying 6 x 1,000 gives the value of the 6 in the number.)

• How can you use base ten blocks or money to represent this decimal? What is ONE?

Math Concepts and Skills: 

The student represents, compares, and orders whole numbers and decimals to show an understanding of place value relationships.

The student:

• defines the value of each place-value position as 10 times the position to the right and as one-tenth of the value of the place to its left.

• shows the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths place using expanded notation and numerals.

• compares and orders whole numbers to 1,000,000,000 using the symbols >, <, or = to represent the comparisons.

• rounds whole numbers to a given place through the hundred thousands place.

• represents, compares and orders decimals, including tenths and hundredths, using a variety of methods.

• relates decimals to fractions that name tenths and hundredths.

• represents fractions and decimals to the tenths or hundredths as distances from zero on a number line.