🔢 MathGrade 4Lesson 23
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Round and Compare Decimals

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Learning Objectives

  • 1Compare decimals to the tenths and hundredths using < > =
  • 2Round decimals to the nearest whole number
  • 3Round decimals to the nearest tenth
  • 4Order a set of decimals from least to greatest
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Mini Lesson

Decimal numbers can be compared and rounded just like whole numbers. When comparing, align the decimal points and work digit by digit from left to right. When rounding, identify the target place and look at the digit immediately to its right.

Comparing Decimals

  • Align decimal points, then compare digit by digit from left to right.
  • 0.6 > 0.59 — the tenths digit 6 is greater than 5, so 0.6 wins even though 0.59 has more digits.
  • Use <, >, or = to record the relationship: 0.4 < 0.40 is false — they are equal (0.40 = 0.4).

Round to the Nearest Whole Number

  • Look at the tenths digit (the digit right after the decimal point).
  • If the tenths digit is 5 or more, round up: 2.7 → 3.
  • If the tenths digit is less than 5, round down: 3.2 → 3.

Round to the Nearest Tenth

  • Look at the hundredths digit (the second digit after the decimal point).
  • If the hundredths digit is 5 or more, round the tenths up: 0.47 → 0.5.
  • If the hundredths digit is less than 5, keep the tenths digit: 0.43 → 0.4.
Number line from 0.4 to 0.5 — 0.47 rounds up to 0.5Round 0.47 to the Nearest Tenth0.40.50.45 (mid)0.47closer to 0.5Hundredths digit = 7 (7 >= 5) — round UP0.47 rounds to 0.5
Digit-by-digit comparison: 0.6 vs 0.59Comparing 0.6 and 0.59NumberTenths digitHundredths0.66—0.5959Compare tenths first: 6 > 5Hundredths do not matter — tenths decide.0.6 > 0.59
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Tip: a number line helps you see which whole number or tenth a decimal is closest to. Plot the decimal and check which end it is nearer to.

Vocabulary
Decimal
A number that uses a decimal point to show parts of a wholee.g. 0.47 is a decimal.
Round
To replace a decimal with the nearest whole or tenthe.g. Round 0.47 to the nearest tenth: 0.5.
Compare
To decide which decimal is greater, less, or equale.g. Compare 0.47 and 0.5 by lining up place values.
Place value
The value a digit has based on its positione.g. Place value tells me 0.5 > 0.47.
Number line
A straight line that shows numbers in ordere.g. I plot 0.47 on the number line to compare.
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← Lesson 22: Relate Fractions to DecimalsLesson 24: Apply Fractions in Measurements →