# 4th Grade - Negative Numbers

 Grade Level: 4th Skill: Numbers - large, small, prime and negative Topic: Negative Numbers Goal: Use concepts of negative numbers (i.e. on a number line, in counting and in temperature) Skill Description: 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.

### Online Resources

 (1) (2) (3) (4)

### 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)