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Comparing and Ordering Integers
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Comparing and Ordering Integers
Compare and order integers carefully. Use the number line where it helps, and show working for calculations.
Comparing Integers
1.Write <, >, or = to make each comparison true: a) −11 −4; b) 6 −2; c) −3 0; d) −7 −7.
2.Which comparison is correct?
- −8 > −3
- −8 < −3
- −8 = −3
- −3 < −10
3.On the number line, which labelled integer is furthest to the left?
- −2
- −10
- 4
- −6
4.At dawn, the temperature in Hobart was −3°C and in Darwin it was 8°C. Which place was colder?
Ordering Integers
5.Arrange these integers from least to greatest: 5, −12, 0, −3, 9, −7.
6.List these integers from greatest to least: −6, 3, −1, 11, −9.
7.A diver is 28 metres below sea level, a seal is 9 metres below sea level, and a research boat is at sea level. Order their positions from deepest to highest.
8.Match each integer to its correct description.
- −13
- 0
- −4
- 7
- The least integer
- The greatest integer
- The integer halfway between −5 and 5
- The integer closest to −5
Integer Calculations and Comparisons
9.Work out each expression, then compare its value with zero using <, >, or =: a) (−6) + 9; b) (−8) − 3; c) 5 + (−7).
10.Decide whether each statement is true or false: a) (−9) + 2 < 0; b) (−6) + 10 ≥ 3; c) 0 > (−4) − 1.
TrueFalse
11.A bank balance is $0. After a $22 withdrawal and then a $14 deposit, what is the new balance? Is it greater than, less than, or equal to the starting balance?
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