Decimals: Tenths to Hundredths Exploration

Year 4 Mathematics NSW Curriculum MA2-RN-02 Understanding Place Value in Decimals

What Are Decimals?

Numbers that show parts of a whole Use a decimal point (.) to separate whole numbers from parts Help us measure things more precisely Connect to fractions we already know

From Tenths to Hundredths

Take one tenth (0.1) Divide it into 10 equal parts Each part is one hundredth (0.01) 10 hundredths = 1 tenth

Place Value Chart: Ones, Tenths, Hundredths

Decimal Equivalents

{"left":"0.3 = 0.30\n0.7 = 0.70\n0.5 = 0.50","right":"3/10 = 0.3\n7/10 = 0.7\n5/10 = 0.5"}

Number Line Challenge

Place decimals on the number line Compare 0.25 and 0.3 Order: 0.03, 0.2, 0.30 Which is greater: 0.7 or 0.07?

The Role of Zero

Why does 0.30 equal 0.3? What's different about 0.03 and 0.3? When do we need zeros in decimals?

What We've Learned Today

Tenths can be divided into hundredths Decimals show precise measurements Zero has different roles in different positions We can compare and order decimals using place value Decimals connect to fractions we know