MA.8.NSO.1.4

Express numbers in scientific notation to represent and approximate very large or very small quantities. Determine how many times larger or smaller one number is compared to a second number.

Examples

Roderick is comparing two numbers shown in scientific notation on his calculator. The first number was displayed as 2.3147E27 and the second number was displayed as 3.5982E-5. Roderick determines that the first number is about 10³² times bigger than the second number.
General Information
Subject Area: Mathematics (B.E.S.T.)
Grade: 8
Strand: Number Sense and Operations
Status: State Board Approved

Related Courses

This benchmark is part of these courses.
1205050: M/J Accelerated Mathematics Grade 7 (Specifically in versions: 2014 - 2015, 2015 - 2020, 2020 - 2022, 2022 and beyond (current))
1205070: M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
1204000: M/J Foundational Skills in Mathematics 6-8 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))
7812030: Access M/J Grade 8 Pre-Algebra (Specifically in versions: 2014 - 2015, 2015 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.
MA.8.NSO.1.AP.4: Multiply a single-digit number by the power of 10 using a calculator. Identify whether the number in scientific notation represents a very large or very small quantity.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Formative Assessments

Estimating Extreme Values:

Students are asked to estimate an extremely large and an extremely small number by writing it in the form a x begin mathsize 12px style 10 to the power of n end style.

Type: Formative Assessment

Order Matters:

Students are given pairs of numbers written in the form of an integer times a power of 10 and are asked to compare the numbers in each pair using the inequality symbols.

Type: Formative Assessment

How Many Times?:

Students are given pairs of numbers written in exponential form and are asked to compare them multiplicatively.

Type: Formative Assessment

Compare Numbers:

Students are given pairs of numbers written in scientific notation and are asked to compare them multiplicatively.

Type: Formative Assessment

Scientific Calculator Display:

Students are given examples of calculator displays and asked to convert the notation in the display to both scientific notation and standard form.

Type: Formative Assessment

Original Student Tutorial

Scientific Notation: Expressing Large Quantities:

Explore how to express large quantities using scientific notation in this interactive tutorial.

Type: Original Student Tutorial

MFAS Formative Assessments

Compare Numbers:

Students are given pairs of numbers written in scientific notation and are asked to compare them multiplicatively.

Estimating Extreme Values:

Students are asked to estimate an extremely large and an extremely small number by writing it in the form a x begin mathsize 12px style 10 to the power of n end style.

How Many Times?:

Students are given pairs of numbers written in exponential form and are asked to compare them multiplicatively.

Order Matters:

Students are given pairs of numbers written in the form of an integer times a power of 10 and are asked to compare the numbers in each pair using the inequality symbols.

Scientific Calculator Display:

Students are given examples of calculator displays and asked to convert the notation in the display to both scientific notation and standard form.

Original Student Tutorials Mathematics - Grades 6-8

Scientific Notation: Expressing Large Quantities:

Explore how to express large quantities using scientific notation in this interactive tutorial.

Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

Original Student Tutorial

Scientific Notation: Expressing Large Quantities:

Explore how to express large quantities using scientific notation in this interactive tutorial.

Type: Original Student Tutorial

Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.