Chapter 2 of 5
Concept Maps
Fractions and Decimals — Concept Maps
Gujarat Board · Class 7 · Mathematics
3 concept maps of Fractions and Decimals for Gujarat Board Class 7 Mathematics, each also written out as a text outline.
45 questions8 formulas & key relations5 concepts
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3 Concept Maps
Chapter Overview: Fractions and Decimals
The map in words
- Fractions and Decimals
- Multiplication of Fractions
- Fraction times Whole Number
- Multiply numerator by whole number
- Keep denominator same
- Convert mixed to improper first
- Fraction as Operator of
- of means multiply
- Half of 20 = 10
- Fraction times Fraction
- Multiply numerators
- Multiply denominators
- Simplify result
- Value of Products
- Proper times Proper = Smaller
- Improper times Improper = Larger
- Proper times Improper = Between
- Fraction times Whole Number
- Division of Fractions
- Reciprocal
- Flip numerator and denominator
- Product with original = 1
- Whole Number divided by Fraction
- Multiply by reciprocal
- Fraction divided by Whole Number
- Multiply by 1 over whole number
- Fraction divided by Fraction
- Multiply by reciprocal of divisor
- Reciprocal
- Multiplication of Decimals
- Decimal times Decimal
- Multiply as whole numbers
- Count total decimal places
- Place decimal from right
- Multiply by 10 100 1000
- Shift decimal RIGHT
- One place per zero
- Decimal times Decimal
- Division of Decimals
- Divide by 10 100 1000
- Shift decimal LEFT
- One place per zero
- Decimal divided by Whole Number
- Divide as whole numbers
- Keep same decimal places
- Decimal divided by Decimal
- Make divisor a whole number
- Shift both decimals equally
- Divide by 10 100 1000
- Multiplication of Fractions
Fractions and Decimals – Complete Chapter Overview
The map in words
- Fractions and Decimals
- Multiplication of Fractions
- Fraction by Whole Number
- Multiply numerator only
- Keep denominator same
- Mixed fraction first convert
- Fraction by Fraction
- Multiply numerators
- Multiply denominators
- Simplify result
- Value of Product
- Proper x Proper less than both
- Improper x Improper greater than both
- Proper x Improper mixed result
- Fraction by Whole Number
- Division of Fractions
- Reciprocal concept
- Flip the fraction
- Product equals 1
- Whole by Fraction
- Multiply by reciprocal
- Fraction by Whole
- Multiply by 1 over whole
- Fraction by Fraction
- Multiply by reciprocal
- Reciprocal concept
- Multiplication of Decimals
- Decimal by Whole
- Normal multiplication
- Place decimal in product
- Decimal by Decimal
- Multiply as whole numbers
- Count decimal places
- Place decimal in answer
- Multiply by 10 100 1000
- Shift decimal RIGHT
- One place per zero
- Decimal by Whole
- Division of Decimals
- Divide by Whole Number
- Divide normally
- Place decimal in quotient
- Divide by 10 100 1000
- Shift decimal LEFT
- One place per zero
- Divide by Decimal
- Make divisor whole number
- Shift both equally
- Divide by Whole Number
- Multiplication of Fractions
Complete Concept Map - Fractions and Decimals Operations
The map in words
- Fractions & Decimals
- Fractions
- Multiplication
- Fraction by Whole
- Rule: multiply numerator
- Keep denominator
- Example: 3 × 2/7
- Fraction by Fraction
- Multiply numerators
- Multiply denominators
- Example: 2/3 × 5/7
- Properties
- Proper × Proper
- Product < each fraction
- Improper × Improper
- Product > each fraction
- Proper × Proper
- Fraction by Whole
- Division
- Whole by Fraction
- Use reciprocal
- Multiply instead
- Example: 6 ÷ 3/4
- Fraction by Whole
- Multiply by 1/whole
- Example: 3/4 ÷ 3
- Fraction by Fraction
- Use reciprocal
- Example: 2/3 ÷ 5/7
- Whole by Fraction
- Reciprocals
- Flip upside down
- Product = 1
- a/b × b/a = 1
- Multiplication
- Decimals
- Multiplication
- Multiply as whole numbers
- Count decimal places
- Place decimal point
- Example: 2.5 × 1.3 = 3.25
- Division
- By Whole Number
- Divide normally
- Place decimal same position
- By Powers of 10
- 10: shift left 1 place
- 100: shift left 2 places
- 1000: shift left 3 places
- By Decimal
- Shift both decimals right
- Until divisor whole
- By Whole Number
- Multiplication
- Of' Operator
- Means multiplication
- 1/2 of 20 = 10
- 2/5 of 25 = 10
- Real world applications
- Place Value
- Decimal positions matter
- × 10, 100, 1000
- Shift right
- ÷ 10, 100, 1000
- Shift left
- Fractions
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Explore DiagramsFrequently Asked Questions
What are the important topics in Fractions and Decimals for Gujarat Board Class 7 Mathematics?
Key topics in Fractions and Decimals include Multiplication of a Fraction by a Whole Number, Multiplication of a Fraction by a Fraction, Division of Fractions – Reciprocals, Multiplication of Decimal Numbers. Study these first, then practise questions on each for Class 7 exams.
What do the concept maps for Fractions and Decimals show?
The 3 maps show how the ideas in Fractions and Decimals connect: Chapter Overview: Fractions and Decimals; Fractions and Decimals – Complete Chapter Overview. Each map is also written out as an outline on this page.
How should I revise Fractions and Decimals for Class 7 exams?
Learn the core ideas first, then work through the 45 practice questions on Fractions and Decimals. Revise definitions regularly and use flashcards for quick recall before the exam.
Sources & Official References
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
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