Solving Exponential Expressions Quiz

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Questions and Answers

What is the total mass of the Earth and Moon combined?

  • 6.0435 × 10^22 kg (correct)
  • 6.04 × 10^23 kg
  • 6.04 × 10^22 kg
  • 6.0435 × 10^23 kg

During a solar eclipse, when the Moon comes between Earth and Sun, what is the distance between Moon and Sun?

  • 1492.16 × 10^6 m
  • 1.49216 × 10^8 m
  • 1492.16 × 10^9 m (correct)
  • 1.49216 × 10^12 m

What is 0.000035 expressed in standard form?

  • 3.5 × 10^-5 (correct)
  • 35 × 10^-5
  • 35 × 10^-6
  • 3.5 × 10^-4

Express 4050000 in usual form.

<p>4.05 × 10^6 (A)</p> Signup and view all the answers

What is the total mass of Earth and Moon if the masses were both multiplied by 100?

<p>604.35 × 10^23 kg (C)</p> Signup and view all the answers

If the distance between Earth and Moon is doubled, what will be the new distance in standard form?

<p>7.68 × 10^9 m (C)</p> Signup and view all the answers

Express $3.52 imes 10^5$ in usual form.

<p>$352000$ (C)</p> Signup and view all the answers

$7.54 imes 10^{-4}$ equals:

<p>$0.000754$ (C)</p> Signup and view all the answers

$3 imes 10^{-5}$ in usual form is:

<p>$0.03$ (D)</p> Signup and view all the answers

$1492.16 \times 10^8$ is equal to:

<p>$1.49216 \times 10^{12} ,\text{m}$ (A)</p> Signup and view all the answers

When expressing very small numbers in standard form, what kind of exponents are typically used?

<p>Negative exponents (A)</p> Signup and view all the answers

What is the rule for multiplying numbers with negative exponents?

<p>$a^m \times a^n = a^{m+n}$ (D)</p> Signup and view all the answers

Which expression represents the standard form of $0.0000005$ meters?

<p>$5 \times 10^{-7}$ m (D)</p> Signup and view all the answers

What is the total thickness of a stack with 5 books, each 20 mm thick, and 5 paper sheets, each 0.016 mm thick?

<p>101.08 mm (A)</p> Signup and view all the answers

To express $3.61492 \times 10^6$ in usual form, you would get:

<p>$3614920$ (A)</p> Signup and view all the answers

Which law of exponents states that for any real number $a$, $a = 1$?

<p>$a = 1$ (C)</p> Signup and view all the answers

What does the law $a^m \div a^n = a^{m-n}$ represent for numbers with negative exponents?

<p>'Division' property of exponents (D)</p> Signup and view all the answers

Expressing $4.5 \times 10^4$ in usual form gives:

<p>$45000$ (C)</p> Signup and view all the answers

"Size of a plant cell is $0.00001275$ m" can be expressed in standard form as:

<p>$1.275 \times 10^{-5}$ m (C)</p> Signup and view all the answers

$31860000000$ can be expressed in standard form as:

<p>$3.186 \times 10^{12}$ (D)</p> Signup and view all the answers

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