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Math Mastery Quiz: Rounding, Roots, Logs & More

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Math Mastery Quiz: Rounding, Roots, Logs & More

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Practice core maths topics

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Heiti
Heiti
Australia

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Math Mastery Quiz: Rounding, Roots, Logs & More
 

Math Mastery Quiz: Rounding, Roots, Logs & MoreOnline version

Practice core maths topics

by Heiti
1

Round 12.34567 to 2 decimal places.

2

Round 0.004276 to 2 significant figures.

3

Express 0.000456 with 2 significant figures in scientific notation.

4

Estimate 59×0.99 using an approximation.

5

Expand (x+1)^2.

6

Simplify a^3·a^-5.

7

Compute 3.2×10^4 × 5×10^2.

8

Simplify √72.

9

Rationalize 1/√8.

10

Compute log base 2 of 8.

Feedback

Rounding to 2 decimals gives 12.35.

First two sig figs are 4 and 3, giving 0.0043.

Two sig figs: 4 and 6, so 4.6×10^-4.

59×0.99 ≈ 58.41, so rounding to a whole number gives 58.

Binomial expansion: (x+1)^2 = x^2+2x+1.

Add exponents: 3 + (-5) = -2.

Multiply coefficients 3.2×5=16; exponents add to 6.

√72=√(36×2)=6√2.

Multiply by √8/√8: (√8)/(8) = (2√2)/8 = √2/4.

2^3=8, so log2(8)=3.

 
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