Decimal Comparison 3 - Different Number of Decimal Places

💡Tips for Parents

▸ Why It Matters This is the most advanced worksheet in the series, and it's designed to be genuinely tricky: half of the ten pairs, like 4.5 vs. 4.50 and 7.20 vs. 7.2, look mismatched but are actually equal, while the other half, like 6.05 vs. 6.5 or 1.75 vs. 1.8, are genuinely different even though the digits look similar at a glance. Mixing these two types on the same page is intentional — it prevents shortcuts like "more digits means bigger" from working, and forces your child to actually think through place value. Mastering this worksheet means your child understands that a decimal's value depends on place value, not on how many digits happen to be written after the decimal point. ▸ Getting Started Show your child that for a pair like 3.6 and 3.62, adding a zero to the shorter decimal (3.6 = 3.60) lines up the place values so both numbers have the same number of digits, making it much easier to compare tenths and hundredths side by side. Try the same trick on a genuinely unequal pair, such as 5.30 and 5.03 — once both are written with two decimal places, it's easy to see that 30 hundredths is more than 03 hundredths, so 5.30 is larger. Reading each number aloud by place value ("five and three tenths" vs. "five and three hundredths") can also make the difference click. ▸ If They Get Stuck Also check the reverse together — that removing a trailing zero, like turning 7.20 into 7.2 or 9.40 into 9.4, doesn't change the value at all, since a zero in the last decimal place adds nothing. If your child is confused, have them physically add and remove zeros on scratch paper, or use a hundredths grid to shade in 8.06 and 8.6 so they can see why 8.6 (eight and sixty hundredths) is so much larger. A common mistake is comparing digit by digit from left to right without first equalizing the decimal places, so slow down on pairs, like 2.8 vs. 2.75, where that trips them up. ▸ Praise Points When your child uses the trick of adding or removing a zero on their own, or catches themselves before falling for the "more digits means bigger" trap on a pair like 2.8 vs. 2.75, that's worth celebrating — it means they've internalized the hardest idea in this whole series and are ready for ordering decimals and decimal operations.

🎯What This Worksheet Builds

Compare decimals written with different numbers of decimal places, such as 3.6 and 3.62, or 5.30 and 5.03, learning that adding or removing a trailing zero doesn't change a decimal's value while a nonzero digit in a new place does. This set of ten problems deliberately mixes equal-looking pairs, like 7.20 and 7.2, with genuinely different pairs, like 6.05 and 6.5, building the place-value reasoning needed to compare decimals confidently no matter how many digits are shown.

👉Next Step

Try ordering three or more decimals at once, such as arranging 1.75, 1.8, and 1.708 from least to greatest, or apply the same place-value skill to decimal addition and subtraction, where lining up the decimal points — and padding with zeros when needed — is just as essential. Comparing decimals to fractions or percentages is a natural next challenge once this skill feels solid.