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5th Grade Math Help

Grade 5 is important for students because they know a lot of Math already and you step into learning tricky incredible math, by covering each subject exquisitely. Class 5 Math syllabus is well-structured and students need to cover each topic in Math repeatedly to make a good grounding in the subject. To avail these sessions, students need to login and schedule the sessions at their convenient time. TutorVista offers a comfortable learning platform where students can nurture their knowledge and skills in an organized manner by taking demo learning session.

Mental arithmetic, numbers and operations, fractional numbers, data handling, measurements are some interesting Math topics that students should learn in a meticulous manner. Math worksheets designed for Class 5 are beneficial for students. Students can take free demo sessions for Class 5 Math topics where it helps them understand and showcase the benefits of online tutoring. By using the whiteboard and chat option, students can share each Math problem in an easy manner. Most importantly, virtual tutors associated with TutorVista are well-trained and they efficiently guide students throughout the session.

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5th Grade Math Topics

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Math topics for grade 5:


Number and Operations
  • Read, write, count numbers from 0 to 9,999,999 and identify, compare, order, represent estimates, equivalency or place value using models.
  • Positive Fractional Numbers (proper, mixed and improper).
  • Understanding of place value to the right and left of 0 - 4 places and be able to apply four operations on decimals.
  • Problems involving multiple operations on whole numbers or the use of the properties of factors, multiples, prime, or composite numbers, and addition or subtraction
    of fractions (proper) and decimals to the hundredths place.
  • LCM, GCF, ratios and select the appropriate problem solving methods in word problems.
Geometry and Measurement
  •  Identify, sort, classify, construct, measure, and apply a variety of geometric shapes and figures on the basis of properties of angles or sides of triangles (right, acute, obtuse, equiangular, or equilateral) or quadrilaterals (rectangles, squares, rhombus, trapezoids, or parallelograms) or 3-dimensional shapes (rectangular prisms, triangular prisms,cylinders, spheres, pyramids, or cones).
  • Use of properties to identify, compare, or describe three-dimensional shapes (rectangular prisms, triangular prisms, cylinders, or spheres).
  • Understanding of similar and congruent figures applying characteristics of similar figures and using reflections, translations, or rotations.
  • Classify triangles by side properties and types (obtuse, isosceles) etc. Measure and construct a variety of triangle and angles.
  • Perimeter of polygons, area of rectangle or right triangle and volume or cube.
  • Appropriately and consistently use of units of measures, and makes conversions within systems when solving problem.

Functions and Algebra

  • Identify, create, analyze, and extend patterns and describe the rules with more than one variable.
  • Determine the values in linear algebraic expressions when there are missing terms in the four operations and provide the rules.
  • Determine the amount in missing values when given an equation that involve more than one operation.
  • Demonstrate equivalence in equations with the four operations.

Data, Statistics, and Probability

  • Analyze the data to formulate or justify conclusions, to make predictions, or to solve problems.
  • Conduct surveys and experiments and represent the collected data using tables, line plots, bar graphs, and pictographs.
  • Mean, Median and Mode.
  • Counting Techniques to solve Problems (Combinations or simple permutations and variety of strategies).
  • Probability: Predict and determine events in which the sample space may or may not contain equal likely outcomes.

5th Grade Math Problems

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Understand each tough Math problem by getting adequate learning help from TutorVista. Its online sessions are well-designed and comprehensive. Students prefer to take these sessions as per their learning requirements, with the help of these sessions they can revise each Math topic in a requisite manner. And above all students can solve worksheets with experienced Math tutors. In this way, they can not only enhance their subject knowledge, but also handle their exam stress. Online 5 grade homework help designed by TutorVista is also useful for students.

Choose online 5th grade homework help and solve all your complex homework problems in a systematic manner. Get informative online sessions with TutorVista and make your learning process interesting.

Solved Examples

Question 1: Write the place value of 4,

8,345,632
Solution:
 
Given, 8,345,632

=> Place value of 4 = 40,000.

 

Question 2: Solve 5234.34 + 345.6 + 786.03
Solution:
 
     5 2 3 4 . 3 4
+  0  3 4 5 . 6 0
    0  7 8 6 . 0 3
------------------------
     6 3 6 5 . 9 7
------------------------
 

Question 3: Find the area and perimeter of circle having radius 2 m.

Solution:
 
Radius of the circle (r) = 2

Area = $\pi$ r2

Circumference = 2 $\pi$ r

=> Area of circle = $\pi \times 2 \times 2$

= 4 $\pi$

and Circumference of the circle = 2 $\times \pi \times$ 2

= 4 $\pi$

=> Area of circle = 4 $\pi$ square mtr

and Circumference of the circle = 4 $\pi$ mtr

 

Question 4: Solve the equation for x, 32x - 46 = 12x + 20

Solution:
 
Given, 32x - 46 = 12x + 20

32x - 46 = 12x + 20

=> 32x - 12x = 20 + 46

=> (32 - 12)x = 66

=> 20x = 66

=> x = $\frac{66}{20}$

or x = $\frac{33}{10}$
 

Question 5: Bob drive 1.6 miles to the bakery, 2.6 miles to the store and 6.3 miles to the library. From there he go 0.7 to the Church. How far did he travel?

Solution:
 
Distance covered by Bob to bakery = 1.6

Distance covered by Bob to store = 2.6

Distance covered by Bob to library = 6 .3

Distance covered by Bob to the Church = 0.7

=> Total distance he covered = 1.6 + 2.6 + 6.3 + 0.7

= 11.2 miles

Hence Bob  traveled 11.2 miles.

 

5th Grade Math Practice Problems

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Below are few problems based on 5th grade math:

Practice Problems

Question 1: Solve 7456.89 + 3423.22 + 78632.12  (Answer: 89512.23)
Question 2: Find the area of square whose each side is 2 cm. (Answer: 4 cm2)
Question 3: Solve the equation: 16x - 40 = 84x + 10  (Answer: x = -3)
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