Mathematics
Grade 5
15 min
Understanding decimals expressed in words
Understanding decimals expressed in words
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1
Introduction & Learning Objectives
Learning Objectives
Identify the place value of digits in decimal numbers up to the thousandths place.
Read decimal numbers aloud correctly, using appropriate terminology.
Write decimal numbers in words accurately, up to the thousandths place.
Convert decimal numbers expressed in words back into standard decimal notation.
Distinguish between the whole number part and the decimal part when reading decimals.
Correctly use the word 'and' to separate the whole number and decimal parts.
Ever wonder how to tell someone exactly how much change you got back, like 'three dollars and seventy-five cents'? 💰 That's using decimals in words!
In this lesson, you'll learn how to read and write decimal numbers using words. This skill is super important for und...
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Key Concepts & Vocabulary
TermDefinitionExample
Decimal PointA dot that separates the whole number part from the fractional (decimal) part of a number.In the number 5.25, the dot between the 5 and the 2 is the decimal point.
Whole Number PartThe digits located to the left of the decimal point, representing a whole quantity.In 12.34, '12' is the whole number part.
Decimal PartThe digits located to the right of the decimal point, representing a fractional part of a whole.In 12.34, '34' is the decimal part.
Tenths PlaceThe first digit immediately to the right of the decimal point, representing parts of ten.In 0.7, the '7' is in the tenths place, meaning seven-tenths.
Hundredths PlaceThe second digit to the right of the decimal point, representing parts of one hundred.In 0.03, the '3...
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Core Formulas
Rule for Reading the Whole Number Part
Read the digits to the left of the decimal point as a standard whole number.
When expressing a decimal in words, always start by reading the number before the decimal point exactly as you would read any whole number.
Rule for the Decimal Point
Use the word 'and' to represent the decimal point, connecting the whole number part to the decimal part.
The word 'and' acts as a separator and indicates where the decimal point is located between the whole number and its fractional part.
Rule for Reading the Decimal Part
Read the digits to the right of the decimal point as a whole number, then state the place value of the *last* digit.
After saying 'and', read all the digits after the decimal point as if they...
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Challenging
Four students wrote a number in words. Which student wrote the largest number?
A.Anna: 'eight and three hundredths'
B.Ben: 'eight and thirty-one thousandths'
C.Carla: 'eight and three thousandths'
D.David: 'eight and three tenths'
Challenging
The number 27.045 can be described in several ways. Which of the following descriptions is INCORRECT?
A.twenty-seven and forty-five thousandths
B.twenty-seven and four hundredths and five thousandths
C.twenty-seven and forty-five hundredths
D.twenty-seven plus forty-five thousandths
Challenging
A scientist measures a sample to be 'one and two hundred five thousandths' grams. She then removes 'one hundred thousandths' of a gram. What is the new weight of the sample, written as a decimal?
A.1.105
B.1.204
C.1.005
D.1.195
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