Mathematics Grade 5 15 min

Multiply by 2

Multiply by 2

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Introduction & Learning Objectives

Learning Objectives Multiply decimals to the hundredths place by 2. Multiply fractions and mixed numbers by 2 and simplify the result. Apply the concept of multiplying by 2 to solve problems involving geometric measurements. Analyze the effect of multiplying a coordinate by 2 on its position on a coordinate plane. Use mental math strategies to multiply multi-digit whole numbers by 2. Recognize that multiplying by 2 is equivalent to doubling a quantity or adding a number to itself. Solve multi-step word problems that require multiplying by 2. What happens if you double the secret ingredient in a recipe? 🍪 Let's find out how multiplying by 2 can double the fun, or the trouble! You're already a pro at basic multiplication, but multiplying by 2 is a special skill t...
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Key Concepts & Vocabulary

TermDefinitionExample DoublingThe act of multiplying a quantity by 2. It is the same as adding a number to itself.Doubling 15 is the same as 15 x 2, which equals 30. It's also 15 + 15. ScalingChanging the size of something proportionally. Multiplying by 2 is a form of scaling up that makes an object or value twice as large.If a line segment is 5 cm long, scaling it by a factor of 2 makes it 5 x 2 = 10 cm long. ProductThe result or answer obtained from a multiplication problem.In the equation 4.5 x 2 = 9, the product is 9. Improper FractionA fraction where the numerator (top number) is greater than or equal to the denominator (bottom number). Mixed numbers are often converted to improper fractions before multiplying.The mixed number 2 1/4 is equal to the improper fraction 9/4. Coordin...
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Core Formulas

The Doubling Rule (Addition Equivalent) n \times 2 = n + n This fundamental rule shows that multiplying any number (n) by 2 is identical to adding that number to itself. This is useful for mental math and for checking your work. Fraction Multiplication Rule \frac{a}{b} \times 2 = \frac{a \times 2}{b} To multiply a fraction by 2, you only multiply the numerator (a) by 2. The denominator (b) stays the same. Remember that 2 can be written as the fraction 2/1. Decimal Multiplication Process (a.bc) \times 2 To multiply a decimal by 2, first ignore the decimal point and multiply the numbers as if they were whole numbers. Then, count the number of decimal places in the original decimal and place the decimal point in your answer so it has the same number of places.

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Sample Practice Questions

Challenging
A rectangle has a length of 3.25 cm and a width of 2 cm. If both the length and the width are doubled, what is the area of the new, larger rectangle?
A.26 sq cm
B.13 sq cm
C.10.5 sq cm
D.6.5 sq cm
Challenging
Leo ran 3 1/2 miles on Monday. On Tuesday, he ran twice as far as he did on Monday. On Wednesday, he ran 1 1/4 miles less than he did on Tuesday. How many miles did he run on Wednesday?
A.7 miles
B.5 3/4 miles
C.5 1/2 miles
D.8 1/4 miles
Challenging
A square on a coordinate plane has vertices at A(1,1), B(1,3), C(3,3), and D(3,1). If the coordinates of every vertex are multiplied by 2, what is the area of the new square?
A.4 square units
B.8 square units
C.16 square units
D.32 square units

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