Now that we’ve learned how to solve word problems involving the sum of consecutive integers, let’s narrow it down and this time, focus on word problems that only involve finding the sum of consecutive even integers.
But before we start delving into word problems, it’s important that we have a good understanding of what even integers, as well as consecutive even integers, are.
Even Integers
We know that even numbers are integers that can be divided exactly or evenly by 22. Thus, the general form of the even integer nn, is n = 2kn=2k, where kk is also an integer.
In other words, since even numbers are the multiples of 22, we can represent an even integer nn by 2k2k, where kk is also an integer. So if we have the even integers 1010 and 1616,
Answer:
Step-by-step explanation:
Given
See attachment for number line
Required
Determine the model
From the attachment, we can see that each partition is 1/3
The gray rectangle covers 11 partitions.
So:
Express as a mixed number
The black rectangle covers 8 partitions
So:
Express as a mixed number
So, the model is:
Where Total is the point where the black rectangle stops
Answer:
Next 2 numbers are 28,22
Step-by-step explanation:
Answer:
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Step-by-step explanation:
Step 1:
Multiply each by 5, then make any necessary conversions to the other units of measurement (ie. gallon, quart, etc)
30 gallons x 5= 150 gallons
3 quarts x 5= 15 quarts
1 pint x 5= 5 pints
Step 2:
CONVERSION
1 gallon=4 quarts
1 gallon= 8 pints
1 quart= 2 pints
GALLONS: 150 gallons
QUARTS:
=15 quarts ÷ # quarts in gallon
=15/4= 3 gallons 3 quarts
PINTS:
=5 pints ÷ # pints in quart
=5/2= 2 quarts 1 pints
TOTALS:
150 gallons
3 gallons 3 quarts
2 quarts 1 pint
Since we have 5 additional quarts, and we know that 4 quarts=1 gallon, we need to convert again.
=3 quarts + 2 quarts
=5 quarts ÷ # quarts in gallon
=5/4 = 1 gallon 1 quart
FINAL TOTALS
GALLONS: 150 + 3 + 1= 154 gallons
QUARTS: 1 quart
PINTS: 1 pints
