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← Math

Decimals and Beyond

Expert⏱ 29 min
A place value chart showing units, tenths and hundredths for decimals
📷 GregWelch8 · CC0 1.0

A has a that the from the . In 3.7, the 3 is the and the 7 7 (7/10).

✨

to the of the : , , . In 4.25, the 2 is in the (= 2/10) and the 5 is in the (= 5/100).

Units.TenthsHundredths
3.7
4.25
Decimal place value: each column to the right of the point is ten times smaller.

: at the . If those are , the , then the , and so on. For , 3.6 > 3.48 because 6 is more than 4 .

🧩 Put these decimals in order from smallest to largest.

  1. 1.5
  2. 0.75
  3. 1.05
  4. 0.3

💡

To add , up the and add by , just as you would with . For : 2.4 + 1.35 = 3.75.

A fraction bar split into ten parts with half shaded to match a decimal
📷 Yomomo · CC0

and are two of the thing. 0.5 is the as 1/2 ( ). 0.25 is the as 1/4. And 0.1 is one , 1/10. these by is very .

Fraction bars0.50.25
Decimals are fractions in disguise: 0.5 shades 5 of 10 parts (a half), and 0.25 shades 1 of 4 parts (a quarter).

🔗 Match each decimal to its fraction.

  • 0.5

  • 0.25

  • 0.1

  • 0.75

: £3.75 3 and 75 of a (75 ). do too: 1.8 m = 1 and 8 of a = 1 m and 80 cm.

An outdoor thermometer reading below zero to show negative numbers
📷 I would appreciate being notified if you use my work outside Wikimedia. Do not c · CC BY-SA 3.0

✍️ Add these decimals by lining up the points.

2.4 + 1.35 = , and 0.5 + 0.5 = .

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are than . On a , −5°C 5 . On a , sit to the of .

Number line from -10 to 10-10-8-6-4-20246810🥶−50☀️5
Zero sits in the middle. Negative numbers go left, positives go right — so −5 is colder than 5, and −2 is warmer than −5.

You can on a . −2 is than −5 because −2 is to ( to the ). In : −2°C is than −5°C.

A number line with negative numbers left of zero and positives to the right
📷 Akm Knight · CC0

🧩 Order these temperatures from coldest to warmest.

  1. 5°C
  2. 0°C
  3. −3°C
  4. −8°C

🗂️ Sort each number into the correct category.

  • 3.5

  • −4

  • 0.1

  • −10

🃏 Flip a card to check your decimal knowledge.

Tap each card to see the answer.

Quiz time! 📝

Decimals and Beyond Quiz

Question 1 of 5

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In the 4.25, what does the 2 ?

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