4.2.B

Math4th GradeNumber and operations

The Standard

represent the value of the digit in whole numbers through 1,000,000,000 and decimals to the hundredths using expanded notation and numerals

Texas Essential Knowledge and Skills for Mathematics

Teacher's field guide

What Students Need to Do: Students connect each digit to its place value in large whole numbers and decimals. They write numbers as expanded expressions and combine expanded expressions into numerals.
What Mastery Looks Like: Students correctly write numbers such as 406,020,031 as a sum of digits multiplied by their place values. They also rebuild the numeral from expanded notation without shifting digits or losing zeros.
Common Misconceptions: Students often name the digit instead of its value, saying 6 rather than 6,000,000. Zeros may cause them to shift digits, and decimal digits may be treated as whole numbers.
How to Assess It: Give this exit ticket: Write 708,040,006 and 53.27 in expanded notation. Then write (9 × 100,000,000) + (2 × 1,000,000) + 50 + 0.06 as one numeral.

Lesson moves

Give pairs place-value cards to build 405,032,018 and 7.46, then record each number in expanded notation.
Ask, “How does the zero in 604,205 affect its expanded notation?” Students write an answer and compare with a partner.
Play a matching game with numeral cards and expanded-notation cards, including numbers with zeros and decimals to hundredths.
Use a population table and store prices; students choose two values and rewrite each in expanded notation.

Keep exploring

Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.