mozaMedical by Mozaik Education

Negative integers

When comparing temperatures, we use the freezing point of water as a reference. This has been set at \latex{ 0 } \latex{ degrees } Celsius. If it is \latex{ 7 }\latex{ °C } colder than \latex{ 0 }\latex{ °C }, it means it is \latex{ minus } \latex{ 7 } \latex{ degrees } \latex{ Celsius } (\latex{ -7 }\latex{ °C }).

Geographical altitude is compared to sea level, which is set at \latex{ 0 } \latex{ metres }. If a fish swims \latex{ 8 } \latex{ m } below the surface, its position relative to sea level is \latex{ -8 } \latex{ m }.

Negative integers are whole numbers less than zero.
Symbol: \latex{ - } (minus). Example: \latex{ -5 } (minus \latex{ 5 }).

Positive integers are whole numbers greater than zero.
Symbol: \latex{ + } (plus). Example: \latex{ 5 } or \latex{ +5 } (plus \latex{ 5 }). The + sign in front of the number is usually left out.

While zero is an integer too, it's neither positive nor negative.

INTEGERS:

\latex{ ... -5; -4; -3; -2; -1 }

negative integers

\latex{ 0 }

zero

\latex{ +1; +2; +3; +4; +5 ... }

positive integers

Integers can be displayed on a number line:

\latex{ -6 }

\latex{ -5 }

\latex{ -4 }

\latex{ -3 }

\latex{ -2 }

\latex{ -1 }

\latex{ 0 }

\latex{ 1 }

\latex{ 2 }

\latex{ 3 }

\latex{ 4 }

\latex{ 5 }

6

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True statements about integers:

All positive integers are greater than \latex{ 0 }.
All negative integers are less than \latex{ 0 }.
Any positive integer is greater than any negative integer.

Exercises

{{exercise_number}}. Write the correct relation symbol in the boxes below.

a) \latex{ 123 } ⬜ \latex{ 258 }

b) \latex{ -24 } ⬜ \latex{ 35 }

c) \latex{ -23 } ⬜ \latex{ 0 }

d) \latex{ -5 } ⬜ \latex{ -8 }

e) \latex{ -24 } ⬜ \latex{ 24 }

f) \latex{ -23 } ⬜ \latex{ -18 }

g) \latex{ -24 }⬜ \latex{ 8 }

h) \latex{ -1,245 } ⬜ \latex{ -1,254 }

h) \latex{ -2,007 } ⬜ \latex{ -2,006 }

{{exercise_number}}. Show the following numbers on the number line in ascending order.

a) \latex{ +7; -5; -1; +10; +2; +5; -9 }

b) \latex{ -7; -2; +3; 0; -4; +8; -6 }

c) \latex{ +40; -80; -10; +70; 0; -30 }

d) \latex{ +300; -100; -600; +400; -400 }

{{exercise_number}}. Put the lowlands in the picture in order of geographical altitude. Which is the highest above sea level and which is the lowest below? Look up the places in your geography atlas.

Nile Delta
(Egypt)
\latex{ -13\; m }

Caspian Lowland
(Kazakhstan)
\latex{ -28\; m }

Dead Sea
(Israel-Jordan)
\latex{ -387\; m }

Death Valley
(USA)
\latex{ -86\; m }

Turpan Depression
(China)
\latex{ -154\; m }

{{exercise_number}}. Put the following numbers in descending order.

a)\latex{-20; -50; -90; +20; +50; -10}

b) \latex{ +75; -48; -34; -12; +23; -98 }

c) \latex{ +8; -68; -104; +534; 0; -273 }

d) \latex{ -154; -972; -843; -328; +592 }

{{exercise_number}}. The picture shows some of the planets in the Solar System and their average temperature. Arrange the planets in ascending order by their average temperature.

Earth (\latex{ +16 }\latex{ °C })

Saturn (\latex{ –180 }\latex{ °C })

Mars (\latex{ –32 }\latex{ °C })

Uranus (\latex{ –200 }\latex{ °C })

{{exercise_number}}. Which of the following numbers is the smallest and which one is the largest?

a) \latex{ -7; +5; -3; -9; -2; +4; 0; +8; -1 }
b) \latex{ -3; -73; +375; -98; -124; +93; +8; -328 }

c) \latex{-18; -54; -74; -27; -87; -92; -23; -14}

d) \latex{-13; -1,342; -945; -834; -99; -528; -989}

Quiz

Which number is \latex{ 2 } less than half of itself?

Mathematics 5.

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