Place Value with Decimals

Build whole numbers to 1 million by multiplying by 10 repeatedly.

Use whole numbers to denote powers of 10. Explain patterns in the number of zeros when multiplying any powers of 10 by any other powers of 10.

Explain patterns in the number of zeros of the product when multiplying a whole number by 10. 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.

Explain patterns in the number of zeros of the product when multiplying a whole number by powers of 10.

Explain patterns in the number of zeros of the quotient when dividing a whole number by 10. Recognize that in a multi-digit whole number, a digit in any place represents $${\frac{1}{10}}$$ as much as it represents in the place to its left.

Explain patterns in the number of zeros of the quotient when dividing a whole number by powers of 10.

Build decimal numbers to thousandths by dividing by 10 repeatedly.

Explain patterns in the placement of the decimal point when a decimal is multiplied by any power of 10. Recognize that in a multi-digit decimal, a digit in any place represents 10 times as much as it represents in the place to its right.

Explain patterns in the placement of the decimal point when a decimal is divided by a power of 10. Recognize that in a multi-digit decimal, a digit in any place represents $${\frac{1}{10}}$$ as much as it represents in the place to its left.

Read and write decimals to thousandths using base-ten numerals, number names, and expanded form.

Compare multi-digit decimals to the thousandths based on meanings of the digits using $${>}$$, $${<}$$, or $$=$$ to record the comparison.

Use place value understanding to round decimals to the nearest whole.

Use place value understanding to round decimals to any place.