Equivalent decimals

Learning Objectives Identify that a decimal is another way to write a fraction with a denominator of 10. Read and write decimals to the tenths place (e.g., 0.3). Represent decimals using visual models like tenths and hundredths grids. Explain that adding a zero to the end of a decimal (e.g., changing 0.4 to 0.40) does not change its value. Identify equivalent decimals, such as 0.2 and 0.20. Use money (dimes and pennies) to explain why 0.5 is the same as 0.50. Have you ever noticed that 5 dimes is the same amount of money as 50 pennies? 🤔 Let's find out how different decimal numbers can mean the exact same thing! In this lesson, we will learn about equivalent decimals. These are decimals that look different but have the same value, just like 5 dimes and 50 pennies. Und...

TermDefinitionExample Decimal PointThe small dot in a number that separates the whole numbers on the left from the parts of a whole on the right.In the number 4.6, the dot between the 4 and the 6 is the decimal point. DecimalA number with a decimal point that shows a value less than one (a part of a whole).0.5 is a decimal that means 5 tenths, or one half. Tenths PlaceThe first place to the right of the decimal point. It shows how many tenths you have (like one slice of a pizza cut into 10 equal pieces).In 0.7, the 7 is in the tenths place. It means 7 tenths. Hundredths PlaceThe second place to the right of the decimal point. It shows how many hundredths you have (like one small square on a 100-grid).In 0.25, the 5 is in the hundredths place. Equivalent DecimalsDecimals that look differen...

The Placeholder Zero Rule 0.X = 0.X0 You can add a zero to the very end of a decimal without changing its value. This is helpful when you want to compare two decimals, like 0.7 and 0.70. They are the same! Decimal to Fraction (Tenths) 0.X = X/10 A decimal with one digit after the point can be written as a fraction over 10. The digit after the decimal point becomes the top number (numerator). For example, 0.4 is the same as 4/10. Equivalent Fractions Prove Equivalence X/10 = X0/100 Since 0.X is X/10 and 0.X0 is X0/100, we can see they are equivalent fractions. For example, 0.2 = 2/10 and 0.20 = 20/100. We know 2/10 and 20/100 are equivalent fractions, so 0.2 and 0.20 must be equivalent decimals.