Interpret and Simplify Products from Models
Interpreting and simplifying products from decimal models is a Grade 5 math skill in enVision Mathematics, Chapter 4: Use Models and Strategies to Multiply Decimals. When a hundredths grid product shows a multiple of 10 (like 20, 50, or 70 hundredths), students simplify by removing the trailing zero, since 10 hundredths equals 1 tenth. For example, 0.50 simplifies to 0.5.
Key Concepts
When the overlapping area on a hundredths grid represents a multiple of 10 (e.g., 20, 50, 70 hundredths), the resulting decimal product can be simplified by removing the trailing zero. This is because groups of ten hundredths are equivalent to one tenth. $$0.d0 = 0.d$$.
Common Questions
When can you simplify a decimal product from a grid model?
When the overlapping area is a multiple of 10 hundredths, you can simplify by converting to tenths. For example, 30 hundredths = 3 tenths, so 0.30 = 0.3.
Why does 0.20 equal 0.2?
20 hundredths equals 2 tenths because 20/100 = 2/10. The trailing zero does not change the value.
How do you interpret a hundredths grid for decimal multiplication?
The overlap region shows the product. Count the shaded squares (hundredths) and convert to decimal form, simplifying if the count is a multiple of 10.
Where is this skill taught in enVision Grade 5?
Chapter 4: Use Models and Strategies to Multiply Decimals in enVision Mathematics, Grade 5.
What does a trailing zero mean in a decimal?
A trailing zero after decimal digits does not change the value: 0.50 = 0.5. It can be removed when simplifying the answer.