In this Grade 5 lesson from Pengi Math Chapter 1, students learn to recognize and generate equivalent decimals by adding or removing trailing zeros, then compare decimals by aligning decimal points and analyzing place values. Students also practice rewriting decimals using like units and applying place value reasoning to order decimals from least to greatest or greatest to least.
Section 1
Equivalent Decimals
Equivalent decimals are decimals that name the same number or represent the same value. You can create an equivalent decimal by adding or removing zeros at the end of a decimal, to the right of the last non-zero digit.
Section 2
Compare by Aligning Place Values
To compare decimals, align them by their decimal points. Compare the digits in each place value, starting from the largest place (leftmost). The first place where the digits differ determines which number is greater.
Section 3
Ordering Decimals
Ordering decimals involves arranging a set of numbers from least to greatest (ascending order) or greatest to least (descending order). This is achieved by repeatedly applying pairwise comparison to the numbers in the set.
Expand to review the lesson summary and core properties.
Section 1
Equivalent Decimals
Equivalent decimals are decimals that name the same number or represent the same value. You can create an equivalent decimal by adding or removing zeros at the end of a decimal, to the right of the last non-zero digit.
Section 2
Compare by Aligning Place Values
To compare decimals, align them by their decimal points. Compare the digits in each place value, starting from the largest place (leftmost). The first place where the digits differ determines which number is greater.
Section 3
Ordering Decimals
Ordering decimals involves arranging a set of numbers from least to greatest (ascending order) or greatest to least (descending order). This is achieved by repeatedly applying pairwise comparison to the numbers in the set.