Comparing Decimals
Comparing decimals means working out which of two or more decimal numbers is larger, smaller, or exactly equal. You do it by looking at place value — the whole-number part first, then the tenths, then the hundredths, and so on, moving from left to right. The first place where the digits differ decides the answer. A handy trick is to line up the decimal points and, if one number is shorter, add zeros to the end so both have the same number of decimal places; this makes a digit-by-digit comparison easy. A common mistake is thinking a number with more digits must be bigger, but that is not true — place value matters far more than length. Comparing decimals comes up constantly in real life: money, measuring length and weight, sports times, and reading charts all depend on telling which decimal value is greater.
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Which is bigger?⚖️ 0.7 vs 0.65 Comparing Decimals Two prices, two scores, two race times… which one is bigger? Today you'll learn a simple, never-fail way to compare any two decimals. 🤔 Quick guess: is 0.7 bigger or smaller than 0.65? Keep your answer in your head — you'll find out very soon! Tap Next to begin. →
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Know your placesFirst, name the places A decimal point splits a number into a whole part and a part smaller than one. After the dot come tenths, then hundredths. OnesTenthsHundredths 3•25 3.25 = 3 ones, 2 tenths, 5 hundredths A tenth (0.1) is one slice of a cake cut into 10 pieces. A hundredth (0.01) is much smaller — a cake cut into 100 pieces!
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Whole part firstStep 1: Compare the whole part Always look at the numbers in front of the dot first. Bigger whole part = bigger decimal. The other digits don't even matter yet! Which number is bigger? Tap it. 2.9 5.1 Even though 2.9 has a big .9, 5 ones beats 2 ones. The whole part wins first!
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Same whole? Go to tenthsStep 2: If wholes tie, compare tenths When the whole parts are equal, move one step right to the tenths. Let's compare 0.7 and 0.65 — the puzzle from the start! OnesTenthsHundredths 0•70 0•65 Wholes tie (0 = 0). Now compare the tenths: Pick the correct sign for 0.7 ⬚ 0.65 > = <
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The longer-number trapWatch out: longer ≠ bigger! With whole numbers, more digits means bigger. With decimals, that's not true. 0.65 has more digits than 0.7, but 0.7 is bigger! A neat trick: add a zero so both have the same length. OnesTenthsHundredths 0•70 0•65 0.7 is really 0.70. And 70 hundredths > 65 hundredths. ✅ Now you try! Which is bigger? 0.4 0.39
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The 3-step recipeYour never-fail recipe Tap each step to reveal it. Compare 3.45 and 3.5 as you go: 1 Tap to reveal… 2 Tap to reveal… 3 Tap to reveal…
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You're the judgeFinal challenge Use the recipe. Pick the right sign for 1.08 ⬚ 1.5 OnesTenthsHundredths 1•08 1•50 Wholes tie (1 = 1). Look at the tenths: 0 vs 5. > = < Don't be fooled by the 8 in 1.08 — those are hundredths, and tenths matter more!
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You did it!🎉 ⚖️ ✅ You can compare any decimals! 1️⃣ Compare the whole part first — bigger wins. 2️⃣ If they tie, compare tenths, then hundredths. ⚠️ Longer is not always bigger — line up the dots and add a zero (0.7 = 0.70). And the opening puzzle? 0.7 > 0.65 — now you know exactly why. Brilliant work! 🌟
Frequently asked questions
- How do you compare two decimals?
- Line up the decimal points and compare the digits from left to right. The first place where the digits differ decides which number is larger.
- Why add trailing zeros when comparing?
- Adding zeros to the end of a shorter decimal gives both numbers the same number of places, so you can compare them digit by digit without confusion.
- Does a longer decimal mean a bigger number?
- No, length does not decide size. A number with more digits after the point can still be smaller, because place value matters more than how many digits there are.
- Where is comparing decimals useful?
- It is used for money, measuring length or weight, comparing sports times, and reading charts, where small differences between values often matter a lot.
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