Write The Numerals For Six Hundred Thousand Three Hundred And Fifty-six:Answer: $\qquad$Write The Value Of The Underlined Digit In $45,071.$Answer: $\qquad$Solve The Following Equation For $x$:$[ 15 + 6
Writing Large Numbers
Writing the Numerals for Six Hundred Thousand Three Hundred and Fifty-Six
When writing large numbers, it's essential to understand the place value of each digit. The place value of a digit in a number depends on its position in the number. In the number 456,356, the place value of each digit is as follows:
- 4 is in the hundred thousands place
- 5 is in the tens of thousands place
- 6 is in the thousands place
- 3 is in the hundreds place
- 5 is in the tens place
- 6 is in the ones place
To write the numerals for six hundred thousand three hundred and fifty-six, we need to understand the place value of each digit and write it in the correct order.
Answer: 456,356
Writing the Value of the Underlined Digit in 45,071
When writing the value of the underlined digit in 45,071, we need to understand the place value of each digit. The place value of each digit in the number 45,071 is as follows:
- 4 is in the tens of thousands place
- 5 is in the thousands place
- 0 is in the hundreds place
- 7 is in the tens place
- 1 is in the ones place
To write the value of the underlined digit in 45,071, we need to identify the underlined digit, which is 0. The place value of 0 is in the hundreds place.
Answer: 0
Understanding Place Value
Place value is a fundamental concept in mathematics that helps us understand the value of each digit in a number. The place value of a digit depends on its position in the number. In the number 456,356, the place value of each digit is as follows:
- 4 is in the hundred thousands place
- 5 is in the tens of thousands place
- 6 is in the thousands place
- 3 is in the hundreds place
- 5 is in the tens place
- 6 is in the ones place
Understanding place value is essential in mathematics, as it helps us perform calculations and solve equations.
Solving Equations
Solving the Equation for x
To solve the equation for x, we need to isolate the variable x on one side of the equation. The equation is:
15 + 6x = 93
To solve for x, we need to subtract 15 from both sides of the equation:
6x = 93 - 15 6x = 78
Next, we need to divide both sides of the equation by 6:
x = 78 / 6 x = 13
Answer: x = 13
Understanding the Order of Operations
When solving equations, it's essential to follow the order of operations. The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is as follows:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate any multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
By following the order of operations, we can ensure that we perform calculations correctly and solve equations accurately.
Conclusion
Q: What is the place value of the digit 4 in the number 456,356?
A: The place value of the digit 4 in the number 456,356 is in the hundred thousands place.
Q: How do I write the numerals for six hundred thousand three hundred and fifty-six?
A: To write the numerals for six hundred thousand three hundred and fifty-six, we need to understand the place value of each digit and write it in the correct order. The correct order is:
- 4 is in the hundred thousands place
- 5 is in the tens of thousands place
- 6 is in the thousands place
- 3 is in the hundreds place
- 5 is in the tens place
- 6 is in the ones place
The correct answer is: 456,356
Q: What is the value of the underlined digit in 45,071?
A: The value of the underlined digit in 45,071 is 0. The place value of 0 is in the hundreds place.
Q: How do I solve the equation 15 + 6x = 93 for x?
A: To solve the equation 15 + 6x = 93 for x, we need to isolate the variable x on one side of the equation. We can do this by subtracting 15 from both sides of the equation:
6x = 93 - 15 6x = 78
Next, we need to divide both sides of the equation by 6:
x = 78 / 6 x = 13
Q: What is the order of operations?
A: The order of operations is a set of rules that tells us which operations to perform first when we have multiple operations in an expression. The order of operations is as follows:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate any multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: Why is it important to follow the order of operations?
A: Following the order of operations is essential in mathematics because it ensures that we perform calculations correctly and solve equations accurately. If we don't follow the order of operations, we may get incorrect answers.
Q: Can you give an example of a problem that requires the order of operations?
A: Yes, here is an example of a problem that requires the order of operations:
2 × 3 + 12 ÷ 4 - 5
To solve this problem, we need to follow the order of operations:
- Parentheses: There are no expressions inside parentheses.
- Exponents: There are no exponential expressions.
- Multiplication and Division: Evaluate any multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
The correct order of operations is:
2 × 3 = 6 12 ÷ 4 = 3 6 + 3 = 9 9 - 5 = 4
The correct answer is: 4
Q: What is the difference between a variable and a constant?
A: A variable is a letter or symbol that represents a value that can change. A constant is a value that does not change.
For example, in the equation 2x + 3 = 5, x is a variable because its value can change. The value 3 is a constant because it does not change.
Q: Can you give an example of a problem that involves variables and constants?
A: Yes, here is an example of a problem that involves variables and constants:
2x + 3 = 5
In this problem, x is a variable because its value can change. The value 3 is a constant because it does not change.
To solve this problem, we need to isolate the variable x on one side of the equation. We can do this by subtracting 3 from both sides of the equation:
2x = 5 - 3 2x = 2
Next, we need to divide both sides of the equation by 2:
x = 2 / 2 x = 1
The correct answer is: x = 1