Operations on integers questions with answers

Questions

1. Question 1Add and subtract two integers

   Calculate $-15 + 6$.

   Show the worked solution

   1. Step 1: Use the number line: start at the first number and move by the second$-15 + 6$$= -9$
2. Question 2Add and subtract three integers

   Calculate $8 - (-6) + (-19)$.

   Show the worked solution

   1. Step 1: Rewrite each double sign: − (−) is +, + (−) is −$8 - (-6) + (-19)$$= 8 + 6 - 19$
   2. Step 2: Work from left to right along the number line$= -5$
3. Question 3Multiply and divide two integers

   Calculate $8 \times (-9)$.

   Show the worked solution

   1. Step 1: Signs: the same signs give +, different signs give −So the answer is negative.
   2. Step 2: Work out the answer, with its sign$8 \times (-9) = -72$
4. Question 4Multiply and divide three integers

   Calculate $3 \times (-8) \div 12$.

   Show the worked solution

   1. Step 1: Signs: an even number of negative signs gives +, an odd number gives −Number of negative numbers: $1$So the answer is negative.
   2. Step 2: Work out the answer, with its sign$3 \times (-8) \div 12 = -2$