Mathematics
Grade 10
15 min
Add up to 4 fractions with denominators of 10 and 100
Add up to 4 fractions with denominators of 10 and 100
What you'll learn
- Identify fractions with denominators of 10 and 100 from a set of fractions.
- Solve addition problems involving up to four fractions with denominators of 10 and 100 with at least 80% accuracy.
- Explain the process of converting fractions with a denominator of 10 to an equivalent fraction with a denominator of 100 using multiplication.
- Apply knowledge of equivalent fractions to rewrite fractions with denominators of 10 and 100 to solve real-world problems involving addition of fractions.
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Apply the principles of fraction addition to determine and verify side lengths in geometric figures.
Prove the congruence of two polygons by calculating and comparing side lengths expressed as sums of fractions.
Utilize the SSS (Side-Side-Side) congruence postulate where side lengths are derived from adding up to four fractions with denominators of 10 and 100.
Translate geometric properties described with decimal notation into fractional form (tenths and hundredths) to facilitate congruence proofs.
Construct a logical argument for figure congruence that relies on accurate fractional arithmetic as evidence.
Deconstruct a complex geometric problem into a series of precise arithmetic calculations involving fractions.
How can an engineer verify that two preci...
2
Key Concepts & Vocabulary
TermDefinitionExample
Congruent FiguresTwo or more geometric figures that have the exact same size and shape. All corresponding sides and corresponding angles are equal in measure.If Triangle ABC is congruent to Triangle DEF (written as ΔABC ≅ ΔDEF), it means AB = DE, BC = EF, AC = DF, and ∠A = ∠D, ∠B = ∠E, ∠C = ∠F.
Corresponding PartsThe sides or angles of two congruent figures that are in the same relative position. The principle 'Corresponding Parts of Congruent Triangles are Congruent' (CPCTC) is a key reason for proving congruence.In the statement ΔPQR ≅ ΔXYZ, side PQ corresponds to side XY, and angle ∠Q corresponds to angle ∠Y.
SSS (Side-Side-Side) Congruence PostulateA rule stating that if three sides of one triangle are congruent to the three corresponding sides of anoth...
3
Core Formulas
Conversion to a Common Denominator (100)
\frac{a}{10} = \frac{a \times 10}{10 \times 10} = \frac{10a}{100}
To add fractions with denominators of 10 and 100, first convert all fractions with a denominator of 10 into an equivalent fraction with a denominator of 100 by multiplying both the numerator and the denominator by 10.
Addition of Fractions with a Common Denominator
\frac{a}{c} + \frac{b}{c} = \frac{a+b}{c}
Once all fractions share the same denominator, add the numerators together and place the sum over the common denominator. This rule is the foundation for calculating total side lengths in our geometric proofs.
SSS Congruence Postulate Condition
If AB = DE, BC = EF, and AC = DF, then \triangle ABC \cong \triangle DEF
This is the logical condition we aim to sati...
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Sign Up Free to ContinueSample Practice Questions
Easy
According to the 'Core Formulas' in the tutorial, how is the fraction 8/10 correctly converted into an equivalent fraction with a denominator of 100?
A.By adding 90 to both the numerator and the denominator.
B.By multiplying only the denominator by 10.
C.By multiplying both the numerator and the denominator by 10.
D.By adding 10 to the numerator and 90 to the denominator.
Easy
What is the fundamental condition for two geometric figures to be considered congruent?
A.They have the exact same size and shape.
B.They have the same number of sides.
C.They have the same area.
D.They have at least one corresponding angle that is equal.
Easy
The tutorial highlights a common pitfall when adding fractions like 3/10 + 45/100. What is the incorrect result shown as an example of this mistake?
A.75/100
B.48/100
C.75/110
D.48/110
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What grade level is "Add up to 4 fractions with denominators of 10 and 100"?
Add up to 4 fractions with denominators of 10 and 100 is a Grade 10 Mathematics lesson on ExcelOS.
What will I learn in Add up to 4 fractions with denominators of 10 and 100?
You'll be able to: Identify fractions with denominators of 10 and 100 from a set of fractions; Solve addition problems involving up to four fractions with denominators of 10 and 100 with at least 80% accuracy; Explain the process of converting….
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How many practice questions are included with Add up to 4 fractions with denominators of 10 and 100?
This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.