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Represent Decimals Using Expanded Forms and Number Lines

- Grade 5 Math

Having learned to relate decimal numbers to fractions with denominators 10 and 100, children can now learn to express decimals in their expanded form and on the number line. This cool decimal game helps children consolidate their understanding of decimals and fractions by representing these numbers in various expanded forms.  

What’s inside?

- Expand decimals as a sum of fractions with denominators 10 and 100.

- Mark a decimal number on the number line.

- Identify fractions to complete the expanded form.

- Represent a decimal number as a sum of whole numbers, tenths, hundredths and thousandths.

Real-World Application

Expanding decimals as a sum of a whole and fractions or as a sum of a whole, tenths, hundredths and so on can help children form a more concrete idea of what decimals represent. This can also help clarify how decimals and fractions relate to each other and how decimals are used to represent money, weight, height, etc. 

What’s next?

The ability to represent decimals in their expanded forms will set children up for decimal arithmetic - addition, subtraction, multiplication and division of decimals. 

Common Core Alignment

5.NBT.3.aRead and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).