Scientific Notation Test – Grade 8 Math (Printable PDF)

Question 1 Write in scientific notation (3 points)

Write each number in scientific notation. (1 point each)

1. 72,000,000
2. 0.0000046
3. 903,000

Question 2 Standard form (2 points)

Write in standard form. (1 point each)

1. 5.07 × 10⁻³
2. 1.8 × 10⁶

Question 3 Products and quotients (3 points)

Compute and write each answer in scientific notation.

1. (6 × 10⁴)(5 × 10³) (2 points)
2. (7.2 × 10⁸) ÷ (9 × 10³) (1 point)

Question 4 Order by size (2 points)

Order from least to greatest: 2.5 × 10⁻⁴, 9 × 10⁻⁵, 1.3 × 10⁻³, 6 × 10⁻⁴.

Question 5 Two reservoirs (3 points)

Reservoir A holds 4 × 10⁶ gallons and Reservoir B holds 2 × 10⁷ gallons.

1. Write the division that compares the two. (1 point)
2. Compute it. (1 point)
3. Complete: Reservoir B holds ___ times as much water as Reservoir A. (1 point)

Question 6 Addition and calculators (3 points)

(a) Add: 8.1 × 10⁵ + 4.5 × 10⁴. Write the sum in scientific notation. (2 points)

(b) A calculator shows 6.4E−5. Write the number in standard form. (1 point)

Question 7 Pollen grain (2 points)

A pollen grain is about 2.5 × 10⁻⁵ meter wide. Which unit is most convenient: meters, millimeters (10⁻³ m) or micrometers (10⁻⁶ m)? Give the width in that unit.

Question 8 Decimal point journey (2 points)

The diagram shows the decimal point of 0.00093 moving. Write 0.00093 in scientific notation and explain why the exponent is negative.