Rounding is a process of approximating a number to a certain place value. This is done to make numbers easier to work with and understand. Rounding can be used in everyday situations like estimating costs, measuring distances, or simplifying calculations.

**Identify the digit to be rounded:**Determine the digit in the given number that corresponds to the desired place value. For example, if rounding to the nearest tens place, identify the digit in the ones place.**Look at the next digit:**Examine the digit to the right of the identified digit. If it is 5 or greater, round up. If it is less than 5, round down.**Change the identified digit and replace the remaining digits with zero:**If rounding up, add 1 to the identified digit and change all the digits to its right to zero. If rounding down, simply change all the digits to the right to zero.

When rounding to different place values, the same rules apply but the specific digit being rounded changes.

- Rounding to the nearest tens: Look at the ones place.
- Rounding to the nearest hundreds: Look at the tens place.
- Rounding to the nearest thousands: Look at the hundreds place.

**Example 1:** Rounding 356 to the nearest tens place.

Identify the digit in the ones place: 6

Look at the next digit (5): Since it is 5 or greater, round up.

Change the identified digit to 6 + 1 = 7, and replace the remaining digits with zero: 360

**Example 2:** Rounding 8497 to the nearest hundreds place.

Identify the digit in the tens place: 9

Look at the next digit (7): Since it is less than 5, round down.

Change the identified digit to 9, and replace the remaining digits with zero: 8400

When rounding, it's important to pay attention to the digits and their place values. Practice rounding numbers to different place values to become comfortable with the process. Also, be aware of the context in which rounding is used - whether it's for estimation, simplification, or adhering to specific guidelines in a given problem.

Remember to always consider the next digit when deciding whether to round up or down. This will ensure that your rounded numbers are accurate and reflect the appropriate level of precision.

Additionally, practice applying rounding to real-world scenarios to reinforce the practical significance of this concept.

Now that you have a good understanding of rounding, try out some practice problems to solidify your knowledge!

.Study GuideIntroduction to Percent Worksheet/Answer key

Introduction to Percent Worksheet/Answer key

Introduction to Percent Worksheet/Answer key

Introduction to Percent Worksheet/Answer keyIntroduction to Percent

Number and Operations (NCTM)

Understand numbers, ways of representing numbers, relationships among numbers, and number systems.

Work flexibly with fractions, decimals, and percents to solve problems.

Develop meaning for percents greater than 100 and less than 1.

Grade 7 Curriculum Focal Points (NCTM)

Number and Operations and Algebra and Geometry: Developing an understanding of and applying proportionality, including similarity

Students extend their work with ratios to develop an understanding of proportionality that they apply to solve single and multi-step problems in numerous contexts. They use ratio and proportionality to solve a wide variety of percent problems, including problems involving discounts, interest, taxes, tips, and percent increase or decrease. They also solve problems about similar objects (including figures) by using scale factors that relate corresponding lengths of the objects or by using the fact that relationships of lengths within an object are preserved in similar objects. Students graph proportional relationships and identify the unit rate as the slope of the related line. They distinguish proportional relationships (y/x = k, or y = kx) from other relationships, including inverse proportionality (xy = k, or y = k/x).

Number and Operations and Algebra: Developing an understanding of operations on all rational numbers and solving linear equations

Students extend understandings of addition, subtraction, multiplication, and division, together with their properties, to all rational numbers, including negative integers. By applying properties of arithmetic and considering negative numbers in everyday contexts (e.g., situations of owing money or measuring elevations above and below sea level), students explain why the rules for adding, subtracting, multiplying, and dividing with negative numbers make sense. They use the arithmetic of rational numbers as they formulate and solve linear equations in one variable and use these equations to solve problems. Students make strategic choices of procedures to solve linear equations in one variable and implement them efficiently, understanding that when they use the properties of equality to express an equation in a new way, solutions that they obtain for the new equation also solve the original equation.

Connections to the Grade 7 Focal Points (NCTM)

Number and Operations: In grade 4, students used equivalent fractions to determine the decimal representations of fractions that they could represent with terminating decimals. Students now use division to express any fraction as a decimal, including fractions that they must represent with infinite decimals. They find this method useful when working with proportions, especially those involving percents. Students connect their work with dividing fractions to solving equations of the form ax = b, where a and b are fractions. Students continue to develop their understanding of multiplication and division and the structure of numbers by determining if a counting number greater than 1 is a prime, and if it is not, by factoring it into a product of primes.