---
title: "Decimal equivalents of tenths and hundredths"
description: "Recognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27)"
canonical: https://lightmysky.com/learn/mathematics/decimal-equivalents-of-tenths-and-hundredths-mt_TqDq6jyOmL
source: https://lightmysky.com/learn/mathematics/decimal-equivalents-of-tenths-and-hundredths-mt_TqDq6jyOmL.md
retrieved: 2026-10-19
---

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# Decimal equivalents of tenths and hundredths

Recognise and write decimal equivalents of any number of tenths or hundredths (e.g. 3/10 = 0.3, 27/100 = 0.27)

Subject: Mathematics · Area: Fractions · Ages 8 to 9
Page: https://lightmysky.com/learn/mathematics/decimal-equivalents-of-tenths-and-hundredths-mt_TqDq6jyOmL

## Ready when they can

- Write 7/10 as 0.7 and vice versa
- Convert 45/100 to 0.45
- Place 0.3 and 3/10 at the same point on a number line

## Lesson: Decimals for tenths and hundredths

You already know tenths: cutting something into 10 equal pieces, like 3/10. A decimal shows that same amount a different way, using a decimal point instead of a fraction line. Three tenths is written 0.3, with one digit right after the point.

*(drawing: 3/10 and 0.3 land on the exact same spot on this line of tenths.)*

**Example.** Now look at 45/100. A hundred is bigger than a ten, so hundredths need two digits after the point: 45/100 is 0.45. Compare that to 7/10, shown below, which only needs one digit: 0.7.

**Tip.** Count the zeros on the bottom number of the fraction. One zero, like in 10, means one digit after the point. Two zeros, like in 100, means two digits.

**Recap.** Tenths use one digit after the decimal point, and hundredths use two. Each decimal lands at the same point as its matching fraction.

## Practice

16 questions on this page, each with its working shown.

## Needs first

- [Hundredths (age 8+)](https://lightmysky.com/learn/mathematics/hundredths-age-8-mt_doX1BhmFgk)
- [Decimal & Percent Notation](https://lightmysky.com/learn/mathematics/decimal-and-percent-notation-mt_W17Kbwm0-u)

## Opens up

- [Moving between diagrams and equations with fractions](https://lightmysky.com/learn/mathematics/moving-between-diagrams-and-equations-with-fractions-mt_3VmBdlAeOZ)
- [Fraction-Decimal Equivalents](https://lightmysky.com/learn/mathematics/fraction-decimal-equivalents-mt_DRlbMok2lT)
- [Rounding decimals to whole numbers](https://lightmysky.com/learn/mathematics/rounding-decimals-to-whole-numbers-mt_Fl7b8q9pI1)
- [Comparing two-decimal numbers](https://lightmysky.com/learn/mathematics/comparing-two-decimal-numbers-mt_IegHBHERVa)
- [Dividing by 10 and 100](https://lightmysky.com/learn/mathematics/dividing-by-10-and-100-mt_kDMKJ5Ztt6)
- [Decimals for Tenths & Hundredths](https://lightmysky.com/learn/mathematics/decimals-for-tenths-and-hundredths-mt_Vi4Vo5xs_g)
- [Decimals and fractions](https://lightmysky.com/learn/mathematics/decimals-and-fractions-mt_wB-GBDkoNr)