Scientific notation Practice Questions (Grade 8)

Scientific notation. Game on.

Scientific notation is a grade 8 math skill aligned to Common Core standard 8.EE.A.3: use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 24 scientific notation problems our math games drill.

CCSS 8.EE.A.324 questions in the bank

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Warm-upeasy

$9 \times 10^5$ is how many times as large as $3 \times 10^2$ ?

$\dfrac{9 \times 10^5}{3 \times 10^2} = 3 \times 10^3 = 3{,}000$ .

Mid-gameeasy

Which expression is $0.0075$ in scientific notation?

Moving the decimal in $0.0075$ three places right gives $7.5 \times 10^{-3}\textsf{.}$

Mid-gameeasy

Write $4500$ as $a \times 10^n$ where $1 \le a < 10$ . What is $n$ ?

$4500 = 4.5 \times 10^3$ , so $n = 3$ .

Mid-gameeasy

$(2 \times 10^3)(3 \times 10^4) = 6 \times 10^n$ . What is $n$ ?

Multiply coefficients ( $2 \cdot 3 = 6$ ) and add exponents: $3 + 4 = 7$ , so $n = 7$ .

Mid-gameeasy

What is $3.2 \times 10^4$ in standard form?

$3.2 \times 10^4 = 32{,}000$ .

Mid-gameeasy

Which expression is $93{,}000{,}000$ in scientific notation?

$93{,}000{,}000 = 9.3 \times 10^{7}\textsf{.}$

Mid-gameeasy

Write $720{,}000$ as $a \times 10^n$ where $1 \le a < 10$ . What is $n$ ?

$720{,}000 = 7.2 \times 10^5$ , so $n = 5$ .

Buzzer beatereasy

$(3 \times 10^2)(3 \times 10^3) = 9 \times 10^n$ . What is $n$ ?

Coefficients multiply to $9$ ; exponents add: $2 + 3 = 5$ , so $n = 5$ .

Scientific notation. Game on.

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