Rounding a number means to change its value slightly so it is not as exact as the original number. Numbers are rounded to a certain place value - tens, hundreds, thousands. etc..
Numbers are rounded to make it easier to do various math processes such as estimating costs in one's head or dividing larger numbers.
RULE: To round a two digit number or higher number to the nearest tens place:
If the number in the ones place of a two digit number is less than five, round the number down to the nearest tens place. If the number in the ones place is greater than five, round it up to the nearest tens plac.
Example 1: Round 23 to the nearest tens place
The number 3 in the ones place is less than five. Therefore the number 23 is rounded down to 20.
23 rounded to the nearest tens place is 20.
Example 2: Round 28 to the nearest tens place.
The number 8 in the ones place is greater than five. Therefore the number 28 is rounded up to 30.
28 rounded to the nearest tens place is 30.
Example 3: Round 94 to the nearest tens place.
The number 4 in ones place is less than five. Therefore the number 94 is rounded down to 90.
94 rounded to the nearest tens place is 90.
Example 4: Round the number 97 to the nearest tens place.
This one is tricky. The number 7 in the ones place is greater than five. Therefore the number 97 is rounded up to 100.
97 rounded to the nearest tens place is 100.
The answer is 45.65
45 + 6.5 = 45.065
45 divided by 6.5 over a hundred = 45 + 0.065
Thats how you get 45.65
Answer:
Therefore the maximum number of video games that we can purchase
is 6.
Step-by-step explanation:
i) Let us say the number of video game system we can buy that costs $185
is x and the number of video games of cost $14.95 is y.
ii) The total amount we can spend on the purchase of the video game
system is $280.
iii) Now with the amount of $280 mentioned in ii) we can see that the
number of game systems that can be bought is 1.
Therefore x = 1.
Therefore the equation we can write to equate the number of video
games and video game system is given by $185 + $14.95 × y ≤ 280
Therefore 14.95 × y ≤ 280 - 185 = 95
Therefore y ≤ 95 ÷ 14.95 = 6.355
Therefore the maximum number of video games that we can purchase
is 6.
Given:
The graph of a downward parabola.
To find:
The domain and range of the graph.
Solution:
Domain is the set of x-values or input values and range is the set of y-values or output values.
The graph represents a downward parabola and domain of a downward parabola is always the set of real numbers because they are defined for all real values of x.
Domain = R
Domain = (-∞,∞)
The maximum point of a downward parabola is the vertex. The range of the downward parabola is always the set of all real number which are less than or equal to the y-coordinate of the vertex.
From the graph it is clear that the vertex of the parabola is at point (5,-4). So, value of function cannot be greater than -4.
Range = All real numbers less than or equal to -4.
Range = (-∞,-4]
Therefore, the domain of the graph is (-∞,∞) and the range of the graph is (-∞,-4].
