Podcast
Questions and Answers
Which of the following expressions results in a rational number?
Which of the following expressions results in a rational number?
- $\sqrt{2} + \sqrt{3}$
- $\pi - \pi$ (correct)
- $\sqrt{5} \times \sqrt{50}$
- $\sqrt{8} / \sqrt{3}$
A rectangular garden measures 5.4 meters in length and 3.2 meters in width. If you want to enclose it with a fence, what is the total length of the fence required, expressed in centimeters?
A rectangular garden measures 5.4 meters in length and 3.2 meters in width. If you want to enclose it with a fence, what is the total length of the fence required, expressed in centimeters?
- 172 cm
- 1720 cm (correct)
- 17.2 cm
- 17200 cm
What is the highest common factor (HCF) of 36, 48, and 60?
What is the highest common factor (HCF) of 36, 48, and 60?
- 18
- 6
- 12 (correct)
- 24
Simplify the following expression: $\frac{2}{3} + \frac{1}{4} \div \frac{3}{5}$
Simplify the following expression: $\frac{2}{3} + \frac{1}{4} \div \frac{3}{5}$
Express $0.00000529$ in standard form.
Express $0.00000529$ in standard form.
Flashcards
What are surds?
What are surds?
Numbers that cannot be expressed as a simple fraction; they contain a square root that doesn't resolve to a whole number.
What are directed numbers?
What are directed numbers?
Positive and negative whole numbers, including zero. They can be used to represent quantities above or below a reference point.
What is HCF?
What is HCF?
The largest number that divides exactly into two or more numbers. Useful for simplifying fractions.
What is LCM?
What is LCM?
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What is standard form?
What is standard form?
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Study Notes
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Real and rational numbers are used.
Surds are understood and used.
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Directed numbers are used.
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Integer problems are solved.
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Decimal problems are solved.
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HCF (Highest Common Factor) and LCM (Lowest Common Multiple) are used.
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Adding and subtracting fractions are performed.
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Multiplying and dividing fractions are performed.
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Fraction problems are solved.
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Standard form numbers are used.
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Description
The lesson covers real, rational, and directed numbers, including understanding and using surds. It provides practice in solving integer and decimal problems. It also deals with HCF, LCM, and operations with fractions, as well as standard form numbers.
