Evaluate the following:
- 3 - 7 - 2
- 3 - 2 - \left( - 6 \right)
94 - \left( - 43 \right)
15 + 24 + \left( - 60 \right)
Evaluate the following:
- 3 \times 4 \times \left( - 3 \right)
- 8 \times \left( - 5 \right) \times \left( - 3 \right) \times 6
21 \div \left( - 7 \right)
\dfrac{- 48}{- 12}
Select two numbers from the following list which have a difference of 26:
10, 19, - 6 ,19, - 16 , - 7 , 8, 25, - 18 , - 1
Evaluate the following:
- 4^{2}
- 15^{2}
\left( - 16 \right)^{2}
4^{2} + 9^{2}
\left( - 2 \right)^{3}
- \left( - 2 \right)^{3}
3^{3} + 4^{3}
4 - \left(5 - 2\right)^{2}
9 - 2^{2} \times \left( - 7 \right)
\left( - 6 \right)^{2} - 11^{2}
5^{3} - 2^{2} + 10
3^{3} - \left( - 2 \right)^{3} + 59
- \left( - 4 \right)^{3} - \left( - 10 \right)^{2} - 122
Evaluate the following:
\sqrt{25} - \sqrt{9}
\sqrt{10^{2} - 6^{2}}
- \sqrt[3]{512}
\sqrt[3]{64} \div \sqrt[3]{8}
Evaluate the following:
44 \div 4 - 7 + 17
54 \div 3 \div \left( - 2 \right)
\left(10 + 3\right) \times \left(8 - 4\right)
\left( - 36 \right) \div \left( - 4 \right) - 14
16 \times \left( 26 \div \left(9 + 4\right)\right)
\left( - 390 \right) \div \left( - 19 + 6\right)
\left( - 100 \right) \div \left( - 4 \right) \div \left( - 5 \right)
9 \times \left( - 6 \right) + 28 \div \left( - 7 \right)
\left( - 14 \right) \div 2 - 10 \div \left( - 2 \right)
2 \times \left( - 25 - 20\right) \div \left( - 7 + 2\right)
\left( \left(36 - \left(10 + 10\right)\right) \div 2\right) + 14 \times 6
Use your calculator to evaluate the following:
47 - \left(14 + \left( 14 \div 7\right)\right)
\left(2 - 5\right)^{2} \times \left( - 21 + 14\right)
\sqrt{37^{2} - 12^{2}}
Valentina dives off a platform 5\text{ m} above the water. If she descends a total of 10\text{ m}, how can we represent her final position with a integer?
Mae and Han are players on a game show. Mae has 26 points and Han has - 16 points. How many more points than Han does Mae have?
Express the outcome of the following as an integer:
Diving 8 metres downward followed by rising 2 metres.
An increase of 81 kilograms in weight followed by a decrease of 39 kilograms.
An investment loses \$22\,200. If this loss is shared equally among six, use a negative integer to describe the loss for each person.
Sally was scuba-diving at a depth of 30\text{ m} below sea level when she dropped her underwater camera. The camera descended 56\text{ m} and landed on the ocean floor.
If 1\text{ m} above sea level is represented by +1 and 1\text{ m} below sea level is represented by - 1, represent the depth of the camera using a integer.
In golf your score for each hole is determined by comparing it to the par (or expected) number of shots for that hole. Taking one less shot than expected will give a score of -1, one more shot will give +1, and so on.
Ivan played 18 holes of golf, and the frequency of each score he obtained is shown in the table below:
We can see that Ivan had 6 scores of + 2. Find total score for these 6 holes.
We can see that Ivan had 5 scores of - 1. Find total score for these 5 holes.
Find Ivan's overall score for all 18 holes.
| Score | Frequency |
|---|---|
| -1 | 5 |
| 0 | 3 |
| +1 | 4 |
| +2 | 6 |
Consider the following phrase: "The quotient of - 7 and the sum of 6 and - 4."
Translate this sentence into a mathematical expression.
Evaluate the expression.
Fred busks with his two friends while selling CD copies of his own music. They make \$36 from busking and split it evenly between the three of them. Fred makes an additional \$15 for each of the 9 CDs he sells. If Fred has to pay a permit of \$31, find his total profit.
A small tree farm plants new trees during spring and summer and cuts down old trees during autumn and winter. They keep records of the average number of trees they plant or cut down each season, as shown in the table:
What was the overall change in trees during summer?
What was the overall change in trees during autumn?
What was the overall change in trees during summer and autumn combined?
How many trees were cut down during winter?
| \text{Season} | \text{Weeks} \\ \text{worked} | \text{Weekly} \\ \text{change}\\ \text{in trees} |
|---|---|---|
| \text{Spring} | 9 | 6 |
| \text{Summer} | 8 | 5 |
| \text{Autumn} | 10 | -11 |
| \text{Winter} | 7 | -12 |