4th Grade - Negative Numbers

 
     
 
     
 
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4th
Numbers - large, small, prime and negative
Negative Numbers
Use concepts of negative numbers (i.e. on a number line, in counting and in temperature)
Understand how and when to use negative numbers (i.e. temperature)
 

Sample Problems

(1)

Plot -5 and +3 on the number line:

-----------------------------------------------------------------------------

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10


Complete the number sentence ___ > ___


(+3 > -5)

(2)

Compare the following numbers:

-50 O +10


(-50 < +10)

(3)

Order the numbers from least to greatest:

-15, 13, 0, 23, -17


(-17, -15, 0, 13, 23)

(4)

Order the numbers from greatest to least:

18, 12, -4, 3, -6


(-6, -4, 3, 12, 18)

(5)

Use a thermometer to chart the change in temperature:

-20 degrees to 40 degrees


(60 degrees)

Learning Tips

(1)

Use a number line to explain the place of positive and negative numbers:

-----------------------------------------------------------------------------

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10

NEGATIVE NUMBERS POSITIVE NUMBERS

Negative numbers are to the left of 0

Positive numbers are to the right of 0


(2)

Positive numbers are greater than negative numbers (any number to the right of a given number is greater.


i.e.) -9 is less than +8 The digit 9 is larger, but the value of -9 is less than +8.

(3)

Explain that a thermometer is like a number line, it is displayed vertically. The positive numbers are above 0 and the negative numbers are below 0. Hence the terms, below zero (freezing temperatures)

Fahrenheit (F)- customary units for measuring temperature


Celsius-(C) – Metric units for measuring temperature


212°F- Water will boil

68°F- Room temperature (average)

32°F- Water will freeze

100°C- Water will boil

20°C- Room temperature

0°C- Water will freeze

(4)

Review the symbols (<, >, =) in order to compare positive and negative numbers. Remind child that the lower negative digits are greater in value than higher negative digits. (i.e. -9 < -8)

(5)

To help child get a full understanding, explain negative and positive numbers in relation to money. Positive numbers = you have that amount of money in your possession. Negative numbers = you owe that amount of money to someone.

Extra Help Problems

(1)

Plot the following numbers on the number line below:

-2 and -7

-----------------------------------------------------------------------------

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10



(2)

Plot the following numbers on the number line below:

-2 and -7

-----------------------------------------------------------------------------

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10


(3)

Plot the following numbers on the number line below:

+3 and -3

-----------------------------------------------------------------------------

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10


(4)

Plot the following numbers on the number line below:

+9 and -10

-----------------------------------------------------------------------------

-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 +1 +2 +3 +4 +5 +6 +7 +8 +9 +10


(5)

Plot the following numbers on the number line below:

-65 and +25


-----------------------------------------------------------------------------

-80 -70 -60 -50 -40 -30 -20 -10 0 +10 +20 +30 +40 +50 +60 +70 +80


(6)

Compare the following numbers:

-5 O -6


(-5 > -6)

(7)

Compare the following numbers:


  1. O -8


(0 > -8)

(8)

Compare the following numbers:


+7 O -7


( +7 > -7)

(9)

Compare the following numbers:


-5 O +3


(-5 < +3)

(10)

Compare the following numbers:


27 O -72


(27 > -72)

(11)

Order the numbers from least to greatest:

+17, -9, +4, 0


(-9, 0, +4, +17)

(12)

Order the numbers from least to greatest:

+2, -2, -9, +7


(-9, -2, +2, +7)

(13)

Order the numbers from least to greatest:

-30, -19, -3, -12


(-30, -19, -12, -3)

(14)

Order the numbers from greatest to least:

+20, +7, -18, 0


(+20, +7, 0, -18)

(15)

Order the numbers from greatest to least:

+12, -12, +14, -14


(+14, +12, -12, -14)



(16)

Use the table to plot temperatures on the number line:

State

Temperature

California

80 degrees

Michigan

-10 degrees

New York

-20 degrees

Arizona

87 degrees



(17)

Find the change in temperature:

-5 °F to 30° F


(35°F)

(18)

Find the change in temperature:

30°F to -10°F


(40°F)

(19)

Find the change in temperature:

80°F to 120°F


(40°F)

(20)

Find the change in temperature:

-10°F to -30°F


(20° F)

(21)

Find the change in temperature:

117°F to 90°F


(27°F)

(22)

Find the change in temperature:

-5°F to 15°F


(10°F)

(23)

Name the temperature that water will boil in degrees Fahrenheit: ______


(212 °)

(24)

Name the temperature that water will freeze in degrees Celsius: ______


(0 °)

(25)

What is the average room temperature for degrees Celsius: ______


(20 °C)

 

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