Question
Evan used base-10 blocks to model the product of 3 and 0.51.
How can Evan use this model to determine the product?
Enter your answers in the boxes to correctly complete each statement.
The model shows a total of
tenths and
hundredths. After regrouping, there is 1 whole,
tenths, and
hundredths, so the product is
.
How can Evan use this model to determine the product?
Enter your answers in the boxes to correctly complete each statement.
The model shows a total of
tenths and
hundredths. After regrouping, there is 1 whole,
tenths, and
hundredths, so the product is
.
Answers
GPT-4o mini
To model the product of 3 and 0.51 using base-10 blocks, Evan can break down the numbers as follows:
1. **Understanding the components of 0.51:**
- 0.51 can be broken down into tenths and hundredths: it is 5 tenths (0.5) and 1 hundredth (0.01).
- Therefore, 0.51 consists of **5 tenths** and **1 hundredth**.
2. **Modeling the product of 3 and 0.51:**
- When you multiply 0.51 by 3, you can think of it as grouping 3 sets of 5 tenths and 1 hundredth.
- **5 tenths x 3 = 15 tenths.**
- **1 hundredth x 3 = 3 hundredths.**
3. **Regrouping the blocks:**
- Now, 15 tenths can be regrouped, as 10 tenths make up 1 whole.
- From 15 tenths, when you take out 10 tenths, you have 1 whole left, along with **5 tenths** remaining.
- After regrouping, you have **1 whole**, **5 tenths**, and **3 hundredths**.
4. **Final calculation:**
- So, in summary, 0.51 x 3 = 1 + 0.5 + 0.03 (which is the same as 1 + 0.05 + 0.03 = 1.53).
**Complete the statements:**
The model shows a total of **5** tenths and **1** hundredth. After regrouping, there is 1 whole, **5** tenths, and **3** hundredths, so the product is **1.53**.
1. **Understanding the components of 0.51:**
- 0.51 can be broken down into tenths and hundredths: it is 5 tenths (0.5) and 1 hundredth (0.01).
- Therefore, 0.51 consists of **5 tenths** and **1 hundredth**.
2. **Modeling the product of 3 and 0.51:**
- When you multiply 0.51 by 3, you can think of it as grouping 3 sets of 5 tenths and 1 hundredth.
- **5 tenths x 3 = 15 tenths.**
- **1 hundredth x 3 = 3 hundredths.**
3. **Regrouping the blocks:**
- Now, 15 tenths can be regrouped, as 10 tenths make up 1 whole.
- From 15 tenths, when you take out 10 tenths, you have 1 whole left, along with **5 tenths** remaining.
- After regrouping, you have **1 whole**, **5 tenths**, and **3 hundredths**.
4. **Final calculation:**
- So, in summary, 0.51 x 3 = 1 + 0.5 + 0.03 (which is the same as 1 + 0.05 + 0.03 = 1.53).
**Complete the statements:**
The model shows a total of **5** tenths and **1** hundredth. After regrouping, there is 1 whole, **5** tenths, and **3** hundredths, so the product is **1.53**.