Back to Tutor Intake Assessment: Use numbers expressed in scientific notation to estimate very large or very small quantities

8.EE.A.3 Tutor Intake -- Scientific Notation Estimation and Comparison

This short check helps your tutor see where to start. Work each problem on
your own, without a calculator. If you are not sure, give your best try —
every answer helps your tutor plan your first few sessions.

Grade 8·9 problems·~10 min·Common Core Math - Grade 8·container·8-ee-a-3

Work through problems with immediate feedback

Concepts

Which of these is written in proper scientific notation (a form
$a \times 10^n$ where $1 \le a < 10$ )?

$4.5 \times 10^4$

$45 \times 10^3$

$0.45 \times 10^5$

$4.5 \times 4^{10}$

To find out how many times as much one quantity in scientific
notation is than another, which operation do you use on the two
quantities?

Divide the larger quantity by the smaller quantity.

Subtract the smaller quantity from the larger quantity.

Add the two exponents together.

Multiply the two quantities together.

Procedures

Write $320,000$ in scientific notation, in the form $a \times 10^n$ . Enter just the coefficient $a$ (for example, if the answer
is $3.2 \times 10^5$ , enter 3.2).

Write $0.00036$ in scientific notation, in the form $a \times 10^n$ . Enter just the exponent $n$ (include the negative sign if
needed).

Write $9.1 \times 10^{-3}$ in standard (decimal) form.

A quantity is $9,500,000,000$ . Express it as a single digit times
a power of 10 (round the coefficient to one digit, adjusting the
exponent if the rounded coefficient reaches 10). Enter just the
exponent $n$ in your final answer $a \times 10^n$ .

Compute $(6 \times 10^9) / (2 \times 10^4)$ . Write your answer in
scientific notation as $a \times 10^n$ ; enter just the exponent
$n$ .

You're viewing 2 of 3 sections.

Create a free account to continue the full exercise set and save your progress.

Create free account

0 of 7 answered

Answer all problems to submit.

Was this practice set helpful?

Report a problem with this page