Decimals: Fractions, Money & Real Life
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Decimals: Fractions, Money & Real Life
Years 7-8 Mathematics Understanding decimal place value Real-world applications
Why Do We Need Decimals?
Think about your daily life... Where have you seen decimal numbers? How do we use them with money?
Learning Objectives
Identify decimal tenths and hundredths Read and write decimals to two decimal places Convert decimals to fractions Explain real-world uses of decimals Work together to create decimal charts
Key Vocabulary
Decimal - a number with a decimal point Tenths - first place after decimal point Hundredths - second place after decimal point Decimal point - the dot separating whole and fractional parts Fraction - part of a whole number
Decimal Place Value Chart
Decimals and Fractions Connection
{"left":"0.3 = 3/10 (three tenths)\n0.7 = 7/10 (seven tenths)\n0.25 = 25/100 (twenty-five hundredths)","right":"0.08 = 8/100 (eight hundredths)\n0.50 = 50/100 = 5/10 (fifty hundredths)\n0.1 = 1/10 (one tenth)"}
Decimals in New Zealand Money
$1.50 = 1 dollar and 50 cents $0.20 = 20 cents (twenty hundredths of a dollar) $2.75 = 2 dollars and 75 cents Cents are hundredths of a dollar We use two decimal places for money
Pair Activity: Create Your Decimal Chart
Work with a partner Create a decimal place value chart on A3 paper Include examples of decimals and their fraction equivalents Use different colors for tenths and hundredths Think of real-world examples where you see these decimals
Where Do You See Decimals?
In your everyday life... At the shops? In sports scores? On digital displays? In measurements?
Key Learning Summary
Decimals represent parts of whole numbers Tenths are in the first decimal place (0.X) Hundredths are in the second decimal place (0.XX) Decimals can be written as fractions Money uses decimals - cents are hundredths of dollars Decimals help us be precise in measurements and calculations