Comparing and Rounding Decimals
Table Of Contents
🎬 Math Angel Video: How to Compare and Round Decimals
What are Decimal Places and Place Value?
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Decimal places are the digits that come after the decimal point.
Place Value tells us the value of each digit in a number based on its position.
🛎️ Example: 12.348
- 3 is in the tenths place (1st decimal place).
- 4 is in the hundredths place (2nd decimal place).
- 8 is in the thousandths place (3rd decimal place).
The more decimal places a number has, the more precise it is!
How to Round Decimals (Rules & Examples) ?
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🛎️ Rounding Rules:
To round a decimal, follow these 3 steps:
- Find the rounding place: Decide which decimal place you need to round to (e.g., tenths, hundredths).
- Look at the digit immediately to the right:
- If the digit is less than 5, round down (keep the rounding digit the same).
- If the digit is 5 or greater, round up (increase the rounding digit by 1).
- Remove the remaining digits: After rounding, remove all digits to the right of the rounding place.
🛎️ Example: Rounding 12.348 to the 1st decimal place:
- The rounding place is the 1st decimal place (3).
- The next digit to the right is the 2nd decimal place (4). Since 4 is less than 5, we round down.
- Remove the digits after the rounding place, so the answer is 12.3 ✅
🛎️ Example: Rounding 12.348 to the nearest hundredth:
- The rounding place is the hundredths place (4).
- The next digit to the right is in the thousandths place (8). Since 8 is 5 or greater, we round up. We round up by adding 1 to 4, so the hundredths place becomes 5.
- Finally, we remove all digits after the rounding place, so the result is 12.35 ✅
How to Compare Decimals?
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To determine which decimal is greater, follow these steps:
- Compare digits from left to right: Start with the whole number part. If they are the same, move to the tenths, then hundredths, and so on.
- The number with the first larger digit is the greater decimal.
🛎️ Example: Comparing 12.431 and 12.441
- The whole number part (12) is the same.
- The tenths place (4) is the same.
- The hundredths place differs: 3 vs. 4 → 4 is larger, so 12.441 is greater ✅
🍪 Quiz: Practise Comparing and Rounding Decimals
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