Approximate value refers to finding a number that is close to the actual or exact value of a quantity. It is often used when the exact value is difficult to determine or when a quick estimation is needed.
Ways to Find Approximate Value
There are several methods to find approximate values:
Rounding:Rounding a number to the nearest whole number, tenth, hundredth, etc. For example, rounding 3.78 to the nearest tenth gives us 3.8.
Estimation: Using known values or benchmarks to make an educated guess. For example, estimating the cost of 7 items at $8 each as approximately $56.
Significant Figures: Identifying the number of significant figures in a value and using them to express the approximate value. For example, 345 has three significant figures, so an approximate value could be 350.
Importance of Approximate Value
Approximate value is important in real-world situations where exact values may not be necessary or feasible to calculate. It is commonly used in everyday activities such as shopping, cooking, and time management.
Study Guide
To master the concept of approximate value, it is important to practice the following:
Understand the significance of significant figures in scientific measurements.
Engage in real-life scenarios where approximate value is used, such as budgeting and measuring.
By mastering the concept of approximate value, one can become proficient in making quick and accurate estimations in various mathematical and real-world situations.
Number and Operations: Students' work in dividing fractions shows them that they can express the result of dividing two whole numbers as a fraction (viewed as parts of a whole). Students then extend their work in grade 5 with division of whole numbers to give mixed number and decimal solutions to division problems with whole numbers. They recognize that ratio tables not only derive from rows in the multiplication table but also connect with equivalent fractions. Students distinguish multiplicative comparisons from additive comparisons.