IB myp 4-5 MATHEMATICS – Practice Questions- All Topics
Topic :Number-Law of exponents, including integer and negative exponents
Topic :Number- Weightage : 21 %
All Questions for Topic : Absolute Values,Representing and Solving Inequalities,Including compound and double inequalities,Irrational numbers,Surds, roots and radicals, including simplifying,Standard form (scientific notation),Laws of exponents, including integer and negative exponents,Number systems notation,Direct and Inverse Proportion,Number Sequence(Prediction ,Description)
Question (2 Marks)
The set of natural numbers $\mathbb{N})$ and the set of integer numbers $(\mathbb{Z})$ are represented in the Venn diagram below.
Label the Venn diagram by placing the draggable numbers provided into the correct location.
▶️Answer/Explanation
Ans:
In the Venn diagram representing the sets of natural numbers ($\mathbb{N}$) and integer numbers ($\mathbb{Z}$), we can place the draggable numbers in the following locations:
$\bullet$ $\sqrt{49}$: This represents the square root of 49, which is 7. We can place the number 7 inside the region that represents the set of natural numbers ($\mathbb{N}$).
$\bullet$ $\frac{12}{3}$: This represents the fraction 12 divided by 3, which is 4. We can also place the number 4 inside the region that represents the set of natural numbers ($\mathbb{N}$).
$\bullet$ 0: Zero is an integer but not a natural number. We can place the number 0 on the border between the regions representing natural numbers ($\mathbb{N}$) and integers ($\mathbb{Z}$) to indicate that it belongs to the set of integers but not the set of natural numbers.
$\bullet$ $-\sqrt{9}$: This represents the negative square root of 9, which is -3. We can place the number -3 inside the region that represents the set of integers ($\mathbb{Z}$).
Here is how the draggable numbers should be placed in the Venn diagram:
