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Lesson 1: Decimals to the Thousandths Place

Interactive Math lesson exploring tenths, hundredths, and thousandths, decimal place value charts, standard, word, and expanded forms with smart 10-question quiz.

2 مشاهدة آخر تحديث: 05 أكتوبر 2026
Lesson 1: Decimals to the Thousandths Place
Mathematics - Languages Unit 1: Decimals

Lesson 1: Decimals to the Thousandths Place

Welcome Primary 5 mathematicians! Today we journey into the fascinating world of decimals, exploring tenths, hundredths, and thousandths with interactive models, place value charts, and real-life examples!

Learning Objectives:
Read and write decimal numbers up to the thousandths place with ease.
Identify the place and value of each digit in whole numbers and decimals.
Convert between Standard Form, Word Form, and Unit Form accurately.

1. Understanding Tenths, Hundredths & Thousandths

• A decimal is a number that uses a decimal point (such as 9.58 or 3.249).

• The digits to the right of the decimal point represent values smaller than one whole.

10 Equal Parts
One Tenth
1/10 = 0.1
1 column colored out of 10 equal columns.
100 Equal Parts
One Hundredth
1/100 = 0.01
1 small square colored out of 100 squares.
1,000 Equal Parts
One Thousandth
1/1,000 = 0.001
1 tiny strip colored out of 1,000 equal tiny parts.
Key Golden Rule: Equivalent Decimals

Adding zeroes to the right of the last decimal digit does NOT change the number's value: 0.3 = 0.30 = 0.300   (Because 3/10 = 30/100 = 300/1,000).

2. The Decimal Place Value Chart

The value of each digit depends on its position. Click on any digit below in 3,249.578 to inspect its place and value:

.
Click on any digit above to see its Place, Value, and Fraction!
Whole Number Part Decimal Point Decimal Part
Thousands Hundreds Tens Ones Tenths (1/10) Hundredths (1/100) Thousandths (1/1,000)
3 2 4 9 . 5 7 8
Value: 3,000 Value: 200 Value: 40 Value: 9 . Value: 0.5 Value: 0.07 Value: 0.008

3. Writing Decimals in Different Forms

Standard Form
3,249.578

Writing the number using standard mathematical digits.

Word Form
"Three thousand, two hundred forty-nine and five hundred seventy-eight thousandths"

Note: The word "and" always names the decimal point.

Unit Form
3 Thousands, 2 Hundreds, 4 Tens, 9 Ones, 5 Tenths, 7 Hundredths, 8 Thousandths

Names each digit along with its place value unit.

Expanded Form
3,000 + 200 + 40 + 9 + 0.5 + 0.07 + 0.008

Shows the sum of the value of each individual digit.

Interactive Mathematics Quiz

Test your mastery of decimals, place value, and forms

10 Questions
1 In the number 729.458, what is the place of the digit 8?
2 What is the value of the digit 4 in 729.458?
3 How is the fraction 35 / 1,000 written as a decimal?
4 Which of the following is equivalent to 0.7?
5 Standard form for "Seven and fourteen thousandths" is:
6 (True or False) The value of 0.8 is equal to 0.80 and 0.800.
7 (True or False) In the decimal number 5.234, the digit 2 has a value of 0.02.
8 In the number 942.358, which digit is in the hundredths place?
9 What is the expanded form of 4.231?
10 How is 8.002 written in word form?

معلومات الدرس

المرحلة:
المرحلة الابتدائية
الصف:
الصف الخامس الابتدائي
المادة:
Math (لغات)
الوحدة:
Unit 1: Decimal Place Value and Computation

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