ORDERING REAL NUMBERS ON A NUMBER LINE WORKSHEET
About "Ordering real numbers on a number line worksheet"
Ordering real numbers on a number line worksheet :
Worksheet on ordering real numbers on a number line is much useful to the students who would like to have better understanding on real numbers.
Ordering real numbers on a number line worksheet - Questions
1. Order √22, π+1 and 4 1/2 on a number line. Then list them in the order from least to greatest.
2. Order π², 10 and √75 on a number line. Then list them in the order from least to greatest.
Ordering real numbers on a number line worksheet - Answers
Question 1 :
Order √22, π+1 and 4 1/2 on a number line. Then list them in the order from least to greatest.
Solution :
Step 1 :
First approximate √22.
√22 is between 4 and 5. Since we don’t know where it falls between 4 and 5, we need to find a better estimate for √22.
So that we can compare it to 4 1/2.
Since 22 is closer to 25 than 16, use squares of numbers between 4.5 and 5 to find a better estimate of √22.
4.5² = 20.25
4.6² = 21.16
4.7² = 22.09
4.8² = 23.04
Since 4.7² = 22.09, an approximate value for √22 is 4.7.
That is,
√22 ≈ 4.7 -------- (1)
Step 2 :
An approximate value of π is 3.14. So an approximate value of π+1 is 4.14.
That is,
π+1 ≈ 4.14 -------- (2)
Step 3 :
The value of 4 1/2 is 4.5.
That is,
4 1/2 = 4.5 -------- (3)
Step 4 :
Plot √22, π+1 and 4 1/2 on a number line.
Step 5 :
Read the numbers from left to right to list them in order from least to greatest..
π+1, 4 1/2, √22
Question 2 :
Order π², 10 and √75 on a number line. Then list them in the order from least to greatest.
Solution :
Step 1 :
An approximate value of π is 3.14. So an approximate value of π² is 9.86.
That is,
π² ≈ 9.86 -------- (2)
Step 2 :
First approximate √75.
√75 is between 8 and 9.
Since we do not know the exact value of √75, we have to mark √75 on a number line at somewhere between 8 and 9.
Step 3 :
Now, plot π², 10 and √75 on a number line
Step 4 :
Read the numbers from left to right to list them in order from least to greatest..
√75, π², 10
After having gone through the stuff given above, we hope that the students would have understood "Ordering real numbers on a number line worksheet".
Apart from the stuff given above, if you want to know more about "Ordering real numbers on a number line", please click here
Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
WORD PROBLEMS
HCF and LCM word problems
Word problems on simple equations
Word problems on linear equations
Word problems on quadratic equations
Area and perimeter word problems
Word problems on direct variation and inverse variation
Word problems on comparing rates
Converting customary units word problems
Converting metric units word problems
Word problems on simple interest
Word problems on compound interest
Word problems on types of angles
Complementary and supplementary angles word problems
Markup and markdown word problems
Word problems on mixed fractrions
One step equation word problems
Linear inequalities word problems
Ratio and proportion word problems
Word problems on sets and venn diagrams
Pythagorean theorem word problems
Percent of a number word problems
Word problems on constant speed
Word problems on average speed
Word problems on sum of the angles of a triangle is 180 degree
OTHER TOPICS
Time, speed and distance shortcuts
Ratio and proportion shortcuts
Domain and range of rational functions
Domain and range of rational functions with holes
Graphing rational functions with holes
Converting repeating decimals in to fractions
Decimal representation of rational numbers
Finding square root using long division
L.C.M method to solve time and work problems
Translating the word problems in to algebraic expressions
Remainder when 2 power 256 is divided by 17
Remainder when 17 power 23 is divided by 16
Sum of all three digit numbers divisible by 6
Sum of all three digit numbers divisible by 7
Sum of all three digit numbers divisible by 8
Sum of all three digit numbers formed using 1, 3, 4
Sum of all three four digit numbers formed with non zero digits
