Lesson 1.1
Draw a number line to show how far 15/20 is from 0.
<--------|--------|------*--|--------|-------->
-1 0 1 2
Using long division, write -3 1/5 as a terminating decimal.
-3.2
Show how to solve -7 + 9 using a number line.
∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩
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-7 -6 -5 -4 -3 -2 -1 0 1 2
Evaluate 30 - 40.
-10
A and B are two different numbers. If the absolute value of A is greater than the absolute value of B, does the value of A also have to be greater than the value of B?
No, because it's possible that A is a negative number that is only greater than B when using absolute value.
For example, A could be -10 and B could be 2. The absolute value of A would be 10 and the absolute value of B would be 2.
Write -67 as m/n in simplest form.
-67/1
Using long division write -9/24 as a terminating decimal.
-0.375
Show how to solve -2 + (-5) using a number line.
∩ ∩ ∩ ∩ ∩
<----|----|----|----|----|----|----|----|----|----|---->
-7 -6 -5 -4 -3 -2 -1 0 1 2
Evaluate 46 - 87.
-41
A submarine was cruising at 340 feet below sea level. What depth is the submarine at after it rises 76 feet?
It is 264 feet below sea level.
Write 17 2/3 as m/n in simplest form.
53/3
Simplify 56/64 and then write it as a terminating decimal.
7/8 = 0.875
Evaluate 62 + (-18) using absolute value.
44
Evaluate -14 - (-12).
-2
The temperature of a substance was originally -22 degrees. It was left to melt and the temperature rose by 48 degrees. What was the final temperature?
Write 270/33 as m/n in simplest form.
90/11
Simplify 214/8 and then write it as a terminating decimal.
107/4 = 26.75
Evaluate -19 + (-32) using absolute value.
-51
Evaluate -5 - 17 - 23.
-45
At 2 am, the temperature was -6 degrees. An hour later the temperature had decreased by 8 degrees. What is the new temperature?
The temperature is now - 14 degrees.
Graph 23 2/3 on a number line.
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22 23 24 25
Using long division, write -2/11 as a repeating decimal with 2 decimal places. Use bar notation to identify the repeating digit.
__
-0.18
Evaluate 14 + (-20) + (-6).
-12
Evaluate -8 - (-12) - 31.
-27
A diver was swimming at a depth of 28 feet below sea level. She then dove 35 feet further. What is her new depth below sea level?
She is 63 feet below sea level.