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decimals

Hundredths as decimals

Connect 1/100 to 0.01 using hundred squares and coins.

Quick answer

0.01 is the same as one hundredth (1/100). You can show this using hundred squares, coins, or by dividing a whole into 100 equal parts.

Learning outcome

By the end of this page, you will understand how to write one hundredth as a decimal number (0.01) and how it connects to fractions and real-life situations.

Success signs:

  • You can say that 0.01 is the same as 1/100
  • You can draw a hundred square and shade one small part
  • You can use coins to show 1p is 0.01 of a pound
  • You can find 0.01 in everyday things like a 100-page book or a 100-grid puzzle

Why this matters

Understanding hundredths as decimals helps you:
  • Measure very small amounts, like the thickness of a book or the size of a tiny insect
  • Work with money – like knowing 1p is 0.01 of a pound
  • Read scales and charts that show small differences
  • Build strong skills for bigger maths like percentages and decimals

How it works

Let’s think of a whole thing – like a big square. If we split it into 100 equal parts, each small part is one hundredth (1/100). When we write this as a decimal, we use 0.01.

Here’s how it works step by step:

  1. Imagine a square that is 10 by 10, so it has 100 small squares
  2. One of those small squares is 1/100 of the big square
  3. In decimal form, 1/100 = 0.01
  4. We can also say 0.01 = 1 hundredth

Examples you can see

Let’s look at some fun examples:

Example 1: Hundred Square

Imagine a big square divided into 10 rows and 10 columns. That makes 100 small squares. If we colour just one square:

  • That one square is 1/100 of the big square
  • It is also 0.01 as a decimal

Example 2: Coins

Think of money:

  • 100 pence = 1 pound
  • 1 pence = 1/100 of a pound
  • 1 pence = 0.01 pound

Example 3: Sharing Cake

Imagine a cake cut into 100 equal slices. If you eat just one slice:

  • You ate 1/100 of the cake
  • You ate 0.01 of the cake

Example 4: Number Line

If we draw a line from 0 to 1 and divide it into 100 equal parts:

  • Each part is 0.01
  • The first mark after 0 is 0.01
  • The second mark is 0.02
  • And so on

Try it as a mini adventure

Adventure: The 100-Grid Treasure Hunt

You are a treasure hunter! You found a map that shows a big square with 100 small squares. The treasure is hidden in one of the squares.

  1. First, you need to find 1/100 of the whole square
  2. That is the same as 0.01
  3. Now, you must shade one small square
  4. Write the decimal number for that square: 0.01
  5. Next, you find 5/100 of the square
  6. That is the same as 0.05
  7. Shade 5 small squares
  8. Write the decimal number for 5 squares: 0.05
  9. Finally, you find 25/100 of the square
  10. That is the same as 0.25
  11. Shade 25 small squares
  12. Write the decimal number for 25 squares: 0.25

Common mistakes

  • Mistake: Thinking 0.1 is the same as 0.01
    Why it happens: Confusing tenths with hundredths
    Fix: Remember 0.1 = 1/10 and 0.01 = 1/100. 0.1 is ten times bigger than 0.01
  • Mistake: Writing 0.001 instead of 0.01
    Why it happens: Counting the wrong number of decimal places
    Fix: Count the decimal places carefully. 0.01 has two decimal places
  • Mistake: Thinking 1/100 = 0.1
    Why it happens: Mixing up the fraction and decimal
    Fix: 1/100 = 0.01. Remember: 1 hundredth = 0.01

Parent and carer guide

Help your child understand hundredths as decimals with these simple tips:

  • Use coins to show how 1p = 0.01 pound
  • Draw hundred squares together and colour parts
  • Look for hundredths in everyday life – like pages in a book, or slices of pizza
  • Practice writing 0.01, 0.02, 0.03, etc. to build confidence
  • Don’t worry if they mix up 0.1 and 0.01 – it’s normal to start with this confusion
  • Keep it fun and short – 5-10 minutes of practice daily is better than one long session

Practice questions

  1. What is 1/100 as a decimal?
  2. How do you write 0.01 as a fraction?
  3. If you colour 1 square out of 100, what decimal is that?
  4. What decimal is 5/100?
  5. How many pence make 0.01 pound?

Answers:

  1. 0.01
  2. 1/100
  3. 0.01
  4. 0.05
  5. 1 pence

FAQ

What does 0.01 mean?

0.01 means one hundredth. It is 1 part out of 100 equal parts.

Why is 0.01 the same as 1/100?

Because in decimal form, 0.01 shows that we have 1 part from 100 equal parts. It’s just another way to write 1/100.

How can I practice hundredths as decimals?

You can use hundred squares, coins, or count in steps of 0.01. Try writing 0.01, 0.02, 0.03, etc. up to 0.10.

Where can I find hundredths in real life?

You can find them in money (1p = 0.01 pound), in books (each page is 1/100 of a 100-page book), or in puzzles that have 100 pieces.

Is 0.1 the same as 0.01?

No, they are different. 0.1 is one tenth (1/10) and 0.01 is one hundredth (1/100). 0.1 is ten times bigger than 0.01.