--- title: "Comparing two-decimal numbers" description: "Compare numbers with the same number of decimal places up to two decimal places" canonical: https://lightmysky.com/learn/mathematics/comparing-two-decimal-numbers-mt_IegHBHERVa source: https://lightmysky.com/learn/mathematics/comparing-two-decimal-numbers-mt_IegHBHERVa.md retrieved: 2026-09-12 --- > **Agent view.** This is the Markdown twin of the page, for tools and assistants. > When to use this site, and the call that answers each job: https://lightmysky.com/agent-instructions.md > API description (OpenAPI 3.1): https://lightmysky.com/openapi.json · Authentication: https://lightmysky.com/auth.md > Pricing: https://lightmysky.com/pricing.md · Catalog: https://lightmysky.com/llms.txt · Full catalog: https://lightmysky.com/llms-full.txt > Every machine-readable file on this domain: https://lightmysky.com/.well-known/ai-catalog.json > Ask for Markdown with `Accept: text/markdown`, a `.md` address, or `?mode=agent`. # Comparing two-decimal numbers Compare numbers with the same number of decimal places up to two decimal places Subject: Mathematics · Area: Fractions · Ages 8 to 9 Page: https://lightmysky.com/learn/mathematics/comparing-two-decimal-numbers-mt_IegHBHERVa ## Ready when they can - Order 0.45, 0.54, 0.39 from smallest to largest - Compare 3.72 and 3.27 using place-value reasoning - Place three two-decimal-place numbers on a number line in order ## Lesson: Comparing two-decimal numbers You already know that a decimal has ones, tenths, and hundredths. When two decimals have the same number of decimal places, compare them one place at a time, starting from the left. Look at the tenths digit first. Whichever number has the bigger tenths digit is the bigger number, no matter what the hundredths digit is. **Example.** Compare 3.72 and 3.27. Both start with a 3, so look at the tenths digit next: 3.72 has a 7, and 3.27 has a 2. Seven tenths is more than two tenths, so 3.72 is bigger. You do not even need to check the hundredths digit. *(drawing: The taller the bar, the bigger the number. 0.39 is shortest, 0.54 is tallest.)* **Example.** Two prices: £4.75 and £4.57. Compare the digit right after the decimal point: 7 in £4.75, and 5 in £4.57. £4.75 costs more, even though both prices use a 5 and a 7. **Tip.** When two decimals have the same number of decimal places, line up the digits. Compare tenths first. Only look at the hundredths digit if the tenths digits match. **Recap.** Same number of decimal places: compare tenths first, and only check hundredths if the tenths digits are tied. ## Practice 16 questions on this page, each with its working shown. ## Needs first - [Decimal equivalents of tenths and hundredths](https://lightmysky.com/learn/mathematics/decimal-equivalents-of-tenths-and-hundredths-mt_TqDq6jyOmL) ## Opens up - [Comparing Decimals](https://lightmysky.com/learn/mathematics/comparing-decimals-mt_933BohS9BH)