106 practice questions covering The Other Side of Zero, organised into 1 topics. 106 questions include a written explanation. Pick a topic below, or try the samples first.
Starting at $-2$ on the number line, which move lands on $-9$?
Correct answer: D - $7$ steps to the left
Going from $-2$ to $-9$ means decreasing by $7$, which is $7$ steps left. Moving right would increase the value, and $9$ steps left would reach $-11$.
What is $(-12) + 12$?
Correct answer: B - $0$
An integer and its opposite cancel exactly, so the sum is $0$. Answering $24$ ignores the minus sign and adds the sizes.
A shopkeeper makes a profit of ₹$300$ on Monday and a loss of ₹$450$ on Tuesday. What is the overall result?
Correct answer: C - A loss of ₹$150$
Writing profit as $+300$ and loss as $-450$ gives $300 + (-450) = -150$, a loss of ₹$150$. Adding the amounts without signs would wrongly give ₹$750$.
A thermometer reads $0^\circ$C. What does this mean?
Correct answer: C - The temperature is at the freezing point of water, the chosen zero of the scale
The Celsius scale sets zero at the freezing point of water, so $0^\circ$C is a real temperature. Colder readings exist below it, shown as negative numbers.
Subtracting an integer is the same as
Correct answer: D - adding its opposite
The rule $a - b = a + (-b)$ turns every subtraction into an addition. Adding the same integer would give a different answer, and signs may never simply be ignored.
Which integer comes immediately after $-5$?
Correct answer: D - $-4$
Moving one step right from $-5$ gives $-4$, which is greater. Moving left would give $-6$, which comes before rather than after.
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