Exponents and Scientific Notation: math test, Grade 8

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Math tests Grade 8 : Exponents and Scientific Notation — Zyro the alien explorer of Planète Maths

Suggested time: 45 minutes. Out of 20 points. Calculator allowed only when the problem says so.

Sommaire

1 Evaluating powers / 4 pts

Evaluate: (a) \(2^7\) ; (b) \((-3)^3\) ; (c) \(6^{-2}\) ; (d) \(9^0\).

2 Rules of exponents / 4 pts

Write each expression as a single power or in simplest form: (a) \(3^5 \times 3^6\) ; (b) \(\dfrac{10^{12}}{10^7}\) ; (c) \((7^2)^5\) ; (d) \((2y^3)^4\).

3 Converting numbers / 3 pts

(a) Write \(3{,}720{,}000\) in scientific notation. (b) Write \(0.0000805\) in scientific notation. (c) Write \(6.1 \times 10^{-3}\) in standard form.

4 Operations / 4 pts

Compute and give the result in scientific notation: (a) \((1.2 \times 10^4)(5 \times 10^3)\) ; (b) \(\dfrac{9 \times 10^8}{3 \times 10^2}\) ; (c) \(5.5 \times 10^6 + 2.5 \times 10^5\) ; (d) \((7 \times 10^{-3})(4 \times 10^{-5})\).

5 Memory cards / 3 pts

A memory card holds \(6.4 \times 10^{10}\) bytes. One photo takes about \(4 \times 10^6\) bytes. How many photos fit on the card? (Calculator not needed.)