Students learn to recognize numbers written in various froms: whole numbers, fractions, decimals, and scientific notation. They also learn to translate numbers described in words to appropriate number forms. Conversion between various number forms enable to students to understand the concept of simplification. For the first time students are introduced to the concept of negative numbers and scientific notation.
Students learn to compare and order very large numbers up to billions. They learn to implicitly convert factions to decimals and use those skills to compare and order assorted integers, fractions, and decimals. The skills of comparion and ordering are put to test in the identification of sequences and patterns of assorted numbers.
Students learn about place values of numbers up to billions. This unit covers basic topic to strengthen students' knowledge of place values in integers and decimal numbers.
Students solve problems involving place values. Various topics in this unit reinforce the understanding of place values in integers and decimals. Students learn to convert numbers specified in non-standard expanded form to the standard form. They also use critical thinking skills to arrange individual digits to create numbers with specified properties.
Students learn to round numbers up to billions. They learn to convert factions to decimals and how rounding is applied to terminate non-terminating decimal numbers. The concept of rounding is further applied to quickly estimate the result of various arithmetic operations.