Math Problem Statement
write two numbers so that the value of the digit 9 in the second number is 10 times the value of the digit 9 in the first number
Solution
To solve this, we need to write two numbers where the value of the digit 9 in the second number is 10 times the value of the digit 9 in the first number.
The value of a digit in a number depends on its place value. For example:
- In the number 90, the value of 9 is .
- In the number 900, the value of 9 is .
Let’s define two numbers:
- The first number: 90, where the value of 9 is .
- The second number: 900, where the value of 9 is .
In this case, the value of the 9 in the second number (900) is exactly 10 times the value of the 9 in the first number (90).
Thus, the two numbers are 90 and 900.
Would you like more details or have any questions? Here are 5 questions to explore further:
- What is the place value system in mathematics?
- How does the place value affect the value of a digit in a number?
- Can you find other pairs of numbers with similar properties involving other digits?
- How can we express a number using powers of 10?
- What are some real-world applications of understanding place values?
Tip: When comparing the values of digits in different numbers, always consider their positions and place values to make accurate comparisons.
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Math Problem Analysis
Mathematical Concepts
Place Value System
Multiplication
Powers of 10
Formulas
Place Value of a digit = Digit × Position value
Position value = 10^n, where n is the position of the digit from the right (starting from 0)
Theorems
Place Value Theorem
Suitable Grade Level
Grades 4-6
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