### 1. Select all the ways that express the number 32.148.
Let's evaluate each option individually:
A. 32 tens + 14 tenths + 8 hundredths
This is not correct. "32 tens" is 320, not 32. The proper composition starts with 32 ones, not tens.
B. 32 ones + 14 hundredths + 8 thousandths
This is also not correct. While "32 ones" is correct, the additional decimal parts need to represent 0.148, but "14 hundredths" is actually 0.14 and does not properly align with 0.148.
C. 321 tenths + 48 thousandths
This is incorrect as well. "321 tenths" means 32.1, and "48 thousandths" stands for 0.048, so 32.1 + 0.048 makes 32.148, which is close but not decomposed properly.
D. 32,148 hundredths
This is incorrect. "32,148 hundredths" equals 321.48, which is not the same as 32.148.
E. 32,148 thousandths
This is correct. 32.148 can be seen as 32,148 thousandths because 32.148 = 32 + 148/1000.
Thus, the correct option is E:
### Answer: E (32,148 thousandths)
### 2. Express the number 78.263 using ones, tenths, hundredths, and thousandths.
The number 78.263 can be broken down into parts:
a. Ones: 78
b. Tenths: 2 (which represents the 0.2 part)
c. Hundredths: 6 (representing 0.06 part)
d. Thousandths: 3 (representing 0.003 part)
So, the number 78.263 can be expressed as:
- 78 ones
- 2 tenths
- 6 hundredths
- 3 thousandths
### Answer:
- 78 ones
- 2 tenths
- 6 hundredths
- 3 thousandths
### 3. How many tenths are equivalent to 37.6?
Student 1 answered "37 tenths."
Student 2 answered "376 tenths."
To determine which student is correct, we need to convert 37.6 into tenths.
When you convert a decimal to tenths:
- 37.6 is equivalent to 37.6 * 10 tenths,
- which means 376 tenths.
Thus, Student 2 is correct because 37.6 = 376 tenths.
### Answer:
Student 2 is correct.
- Explanation: To convert 37.6 to tenths, you multiply by 10, yielding 376 tenths.
