Here are the solutions to your assignment on Comparing Integers.
Q1 - Compare. Use the symbols: <, >, and =.
Rule to remember:
* Positive numbers are always greater than negative numbers.
* For negative numbers, the one closer to zero is greater (e.g., -2 is greater than -8 because it is "less cold").
* For positive numbers, the bigger number is greater.
a. 3 \_\_\_ -5
* Positive 3 is greater than negative 5.
* Answer:
>
b. -10 \_\_\_ 0
* Negative numbers are always less than zero.
* Answer:
<
c. -7 \_\_\_ 7
* Negative 7 is less than positive 7.
* Answer:
<
d. -1 \_\_\_ -1
* The numbers are exactly the same.
* Answer:
=
e. -8 \_\_\_ -2
* Think of temperature: -8 degrees is colder than -2 degrees. So, -8 is smaller.
* Answer:
<
f. 14 \_\_\_ -15
* Positive 14 is greater than any negative number.
* Answer:
>
g. -56 \_\_\_ -58
* On a number line, -56 is to the right of -58 (closer to zero). So, -56 is greater.
* Answer:
>
h. 43 \_\_\_ 34
* 43 is a larger positive number than 34.
* Answer:
>
i. -16 \_\_\_ 15
* Negative 16 is less than positive 15.
* Answer:
<
j. -354 \_\_\_ -345
* Both are negative. 354 is further away from zero than 345. So, -354 is smaller (more negative).
* Answer:
<
k. 789 \_\_\_ -798
* Positive 789 is greater than negative 798.
* Answer:
>
l. -605 \_\_\_ -655
* Both are negative. 605 is closer to zero than 655. So, -605 is greater.
* Answer:
>
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Q2 - Circle the integer with the greatest value.
a. 4, -5
* Positive 4 is greater than negative 5.
* Greatest:
4
b. -16, -14
* -14 is closer to zero than -16.
* Greatest:
-14
c. -22, 0
* Zero is greater than any negative number.
* Greatest:
0
d. -51, 7
* Positive 7 is greater than negative 51.
* Greatest:
7
e. 57, 75
* 75 is larger than 57.
* Greatest:
75
f. -290, -209
* -209 is closer to zero than -290.
* Greatest:
-209
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Q3 - Answer the questions.
s. Which is colder: -3°F or 0°F?
* Colder means a lower temperature. -3 is lower than 0.
* Answer:
-3°F
t. Which is warmer: -13°C or -10°C?
* Warmer means a higher temperature. -10 is higher (closer to zero) than -13.
* Answer:
-10°C
u. Which is a higher elevation? 40 feet below sea level or 14 feet below sea level?
* "Below sea level" means negative numbers (-40 and -14).
* -14 is higher up than -40.
* Answer:
14 feet below sea level
v. Which is a higher elevation? 2 feet below sea level or 1 foot above sea level?
* "Below" is negative (-2). "Above" is positive (+1).
* Positive numbers are always higher than negative numbers.
* Answer:
1 foot above sea level
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Final Answer:
Q1
a. >
b. <
c. <
d. =
e. <
f. >
g. >
h. >
i. <
j. <
k. >
l. >
Q2
a. 4
b. -14
c. 0
d. 7
e. 75
f. -209
Q3
s. -3°F
t. -10°C
u. 14 feet below sea level
v. 1 foot above sea level
Parent Tip: Review the logic above to help your child master the concept of math 7 grade worksheet.
