Math Problem Statement

In which number is the value of the 2 ten times the value of the 2 in 37.632?

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:

0.002×10=0.020.002 \times 10 = 0.02

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:

  1. What is the place value system for decimal numbers?
  2. How do you multiply decimals by powers of ten?
  3. What is the relationship between the value of a digit and its place in a number?
  4. How can you quickly identify place values in a decimal number?
  5. 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.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

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