Math Problem Statement
Solution
Let's analyze the question.
The value of the number 2 in 37.632 is in the thousandths place, meaning its value is 0.002.
We need to find another number where the value of the digit 2 is ten times the value in 37.632.
Ten times 0.002 is:
We need to look for a number where the 2 has the value 0.02. That happens when the 2 is in the hundredths place.
Now, let's check the answer choices:
- A. 37.62: The 2 is in the hundredths place, so its value is 0.02.
- B. 37.206: The 2 is in the tenths place, so its value is 0.2.
- C. 207.6: The 2 is in the hundreds place, so its value is 200.
- D. 27.63: The 2 is in the tens place, so its value is 20.
Therefore, the correct answer is A. 37.62, where the value of the 2 is 0.02, which is ten times the value in 37.632.
Would you like more details on place values or how the comparison works?
Here are 5 questions to expand your understanding:
- What is the place value system for decimal numbers?
- How do you multiply decimals by powers of ten?
- What is the relationship between the value of a digit and its place in a number?
- How can you quickly identify place values in a decimal number?
- Why does multiplying by ten move a digit one place to the left?
Tip: When multiplying a decimal number by 10, each digit moves one place to the left, increasing its value tenfold.
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Math Problem Analysis
Mathematical Concepts
Place Value
Decimal Multiplication
Powers of Ten
Formulas
Value of digit × 10^n for place value adjustment
Theorems
Place value system
Decimal multiplication by powers of ten
Suitable Grade Level
Grade 5-7
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