Model Adding Tenths and Hundredths
Model Adding Tenths and Hundredths is a Grade 4 math skill in enVision Mathematics, Chapter 12: Understand and Compare Decimals. Students use a 100-part grid model to add fractions with denominators of 10 and 100 by converting tenths to hundredths.
Key Concepts
To add fractions with denominators of 10 and 100, you can use a model with 100 equal parts. On this model, one tenth is equivalent to ten hundredths.
$$\frac{1}{10} = \frac{10}{100}$$.
Common Questions
How do you add tenths and hundredths?
Convert tenths to hundredths first (1/10 equals 10/100), then add the numerators with the common denominator of 100. For example, 3/10 plus 8/100 equals 30/100 plus 8/100 equals 38/100.
How does a 100-part grid help add tenths and hundredths?
On a 100-square grid, each column of 10 squares represents one tenth, and each individual square represents one hundredth. You shade the tenths as columns and hundredths as single squares to find the total.
What is the relationship between tenths and hundredths?
One tenth equals ten hundredths, written as 1/10 equals 10/100. This equivalence lets you add fractions with different denominators of 10 and 100.
What is an example of adding tenths and hundredths?
To find 6/10 plus 24/100, convert 6/10 to 60/100, then add 60/100 plus 24/100 to get 84/100.
What chapter covers adding tenths and hundredths in enVision Grade 4?
Adding tenths and hundredths is covered in Chapter 12: Understand and Compare Decimals in enVision Mathematics Grade 4.