When comparing numbers, we want to determine the relationship between two or more numbers. We use comparison symbols to indicate these relationships. The comparison symbols are:

- < (less than)
- > (greater than)
- ≤ (less than or equal to)
- ≥ (greater than or equal to)
- = (equal to)

When comparing whole numbers, we look at the value of each digit from left to right. If the digits in the same place value are different, we can determine the relationship between the numbers based on the value of those digits.

Compare 427 and 593

Since the hundreds place has a 4 in the first number and a 5 in the second number, we know that 427 is less than 593.

When comparing decimal numbers, we follow the same process as with whole numbers. We compare the digits from left to right, and if the digits in the same place value are different, we determine the relationship based on the value of those digits.

Compare 3.25 and 3.5

Since the tenths place has a 2 in the first number and a 5 in the second number, we know that 3.25 is less than 3.5.

When comparing fractions, we can find a common denominator and then compare the numerators. If the denominators are the same, we can simply compare the numerators to determine the relationship between the fractions.

Compare 1/4 and 3/8

Since the denominators are different, we find a common denominator, which is 8. Then we compare the numerators: 1 * 2 = 2 and 3 * 1 = 3. So, 1/4 is less than 3/8.

Here are some steps to follow when comparing numbers:

- Identify the place values of the digits in each number.
- Compare the digits from left to right, starting with the largest place value.
- If the digits in the same place value are different, determine the relationship based on the value of those digits.
- For fractions, find a common denominator if necessary, and then compare the numerators to determine the relationship.

Practice comparing different types of numbers, including whole numbers, decimal numbers, and fractions, to reinforce your understanding of this concept.

Remember to use the comparison symbols (<, >, ≤, ≥, =) to express the relationships between the numbers.

Good luck with your studies!

.Study GuideAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations Worksheet/Answer key

Algebraic Equations Worksheet/Answer keyAlgebraic Equations

Algebra (NCTM)

Represent and analyze mathematical situations and structures using algebraic symbols.

Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations

Grade 6 Curriculum Focal Points (NCTM)

Algebra: Writing, interpreting, and using mathematical expressions and equations

Students write mathematical expressions and equations that correspond to given situations, they evaluate expressions, and they use expressions and formulas to solve problems. They understand that variables represent numbers whose exact values are not yet specified, and they use variables appropriately. Students understand that expressions in different forms can be equivalent, and they can rewrite an expression to represent a quantity in a different way (e.g., to make it more compact or to feature different information). Students know that the solutions of an equation are the values of the variables that make the equation true. They solve simple one-step equations by using number sense, properties of operations, and the idea of maintaining equality on both sides of an equation. They construct and analyze tables (e.g., to show quantities that are in equivalent ratios), and they use equations to describe simple relationships (such as 3x = y) shown in a table.