Virginia SOL 7.NS.1

7.NS.1 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

• 7.NS.1.a

  Investigate and describe powers of 10 with negative exponents by examining patterns.

• 7.NS.1.b

  Represent a power of 10 with a negative exponent in fraction and decimal form.

• 7.NS.1.c

  Convert between numbers greater than 0 written in scientific notation and decimals.*

• 7.NS.1.d

  Compare and order no more than four numbers greater than 0 written in scientific notation. Ordering may be in ascending or descending order.*

01

What Students Need to Do

Students examine patterns created by multiplying or dividing powers of ten by 10. They write negative powers as fractions and decimals, convert decimals to scientific notation, and compare up to four positive values.

02

What Mastery Looks Like

A student explains that dividing by 10 moves from one power of ten to the next lower power. The student converts accurately among powers, fractions, decimals, and scientific notation, then orders up to four values.

03

Common Misconceptions

Students may think a negative exponent makes the value negative. They may move the decimal in the wrong direction or compare only the coefficients while ignoring the exponents.

04

How to Assess It

Exit ticket: Write 10^-5 as a fraction and decimal, convert 0.00072 to scientific notation, then order 4.1 × 10^-6, 8 × 10^-5, and 3.9 × 10^-6 from least to greatest.

1. 01

   Give pairs digit cards and place-value charts to build 10^-1 through 10^-6, then record each value as a fraction and decimal.

2. 02

   Ask students to explain in writing why 10^-4 is smaller than 10^-3, using fractions, decimals, and a pattern.

3. 03

   Play a card sort where teams match decimals to scientific notation, then arrange each matched set from least to greatest.

4. 04

   Compare scientific notation values for cell sizes, planet distances, or computer storage, and ask students to identify the largest and smallest quantities.

• 3.NS.2

  The student will demonstrate an understanding of the base 10 system to compare and order whole numbers up to 9,999.

• 4.NS.2

  The student will demonstrate an understanding of the base 10 system to compare and order whole numbers up to seven digits. 

• 2.NS.2

  The student will demonstrate an understanding of the ten-to-one relationships of the base 10 number system to represent, compare, and order whole numbers up to ...