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Order these integers from smallest to biggest, fill in <, > or =, and give five numbers smaller than and five numbers bigger than:

Mathematics

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2. Order these integers from smallest to biggest.

d) Integers: −41;54;−31;−79;57-41; 54; -31; -79; 57
Ordered: −79;−41;−31;54;57\boxed{-79; -41; -31; 54; 57}

e) Integers: −26;32;23;10;−31;12;31;26-26; 32; 23; 10; -31; 12; 31; 26
Ordered: −31;−26;10;12;23;26;31;32\boxed{-31; -26; 10; 12; 23; 26; 31; 32}

f) Integers: 43;−54;44;−55;−37;22;52;−39;−43;−56;1843; -54; 44; -55; -37; 22; 52; -39; -43; -56; 18
Ordered: −56;−55;−54;−43;−39;−37;18;22;43;44;52\boxed{-56; -55; -54; -43; -39; -37; 18; 22; 43; 44; 52}

g) Integers: −41;−23;−31;40;−21;2-41; -23; -31; 40; -21; 2
Ordered: −41;−31;−23;−21;2;40\boxed{-41; -31; -23; -21; 2; 40}

h) Integers: 4;−10;15;7;10;−2;−13;−6;−12;9;124; -10; 15; 7; 10; -2; -13; -6; -12; 9; 12
Ordered: −13;−12;−10;−6;−2;4;7;9;10;12;15\boxed{-13; -12; -10; -6; -2; 4; 7; 9; 10; 12; 15}

i) Integers: −7;−15;−25;−24;−12;−13;22;6;11;2-7; -15; -25; -24; -12; -13; 22; 6; 11; 2
Ordered: −25;−24;−15;−13;−12;−7;2;6;11;22\boxed{-25; -24; -15; -13; -12; -7; 2; 6; 11; 22}
j) Integers: 73;−24;−20;21;−44;5;−2;41;5573; -24; -20; 21; -44; 5; -2; 41; 55
Ordered: −44;−24;−20;−2;5;21;41;55;73\boxed{-44; -24; -20; -2; 5; 21; 41; 55; 73}

3. Fill in <, > or =

a) −2<2-2 \boxed{<} 2

b) −10<10-10 \boxed{<} 10

c) −5<0-5 \boxed{<} 0

d) −4<−3-4 \boxed{<} -3

e) −9<−6-9 \boxed{<} -6

f) −20<−16-20 \boxed{<} -16

4. Give five numbers smaller than and five numbers bigger than:

a) −2-2
Smaller: −3,−4,−5,−6,−7\boxed{-3, -4, -5, -6, -7}
Bigger: −1,0,1,2,3\boxed{-1, 0, 1, 2, 3}

b) −99-99
Smaller: −100,−101,−102,−103,−104\boxed{-100, -101, -102, -103, -104}
Bigger: −98,−97,−96,−95,−94\boxed{-98, -97, -96, -95, -94}

c) 1
Smaller: 0,−1,−2,−3,−4\boxed{0, -1, -2, -3, -4}
Bigger: 2,3,4,5,6\boxed{2, 3, 4, 5, 6}

Problem solving

Make your own word problem using a negative and a positive number:

A diver was at a depth of 15 meters below sea level, which can be represented as −15 m-15 \text{ m}. She then rose 10 meters towards the surface. What is her new depth?
New depth: −15 m+10 m=−5 m-15 \text{ m} + 10 \text{ m} = \boxed{-5 \text{ m}}

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