Mathematics
Grade 10
15 min
Multiply three or more numbers up to 2 digits each
Multiply three or more numbers up to 2 digits each
What you'll learn
- Solve multiplication problems involving three or more numbers, where each number is a 2-digit number or less, with at least 80% accuracy.
- Explain the order of operations (grouping symbols first, then multiplication) when multiplying three or more numbers up to 2 digits each, using mathematical vocabulary like 'factor' and 'product'.
- Apply the associative property of multiplication to regroup factors and simplify the process of multiplying three or more numbers up to 2 digits each, as demonstrated in at least two different examples.
- Identify real-world scenarios where multiplying three or more numbers is necessary to solve a problem, and correctly set up the multiplication problem.
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Apply the associative and commutative properties to efficiently multiply three or more numbers up to 2 digits each.
Calculate the square of a 2-digit number as a preliminary step in geometric formulas.
Accurately calculate the volume of a cylinder by multiplying π, the squared radius, and the height.
Solve multi-step problems involving circles that require the multiplication of three or more values.
Verify the reasonableness of a product by using estimation with rounded numbers.
Deconstruct a geometric problem to identify the sequence of multiplications required.
How would you calculate the exact amount of water needed to fill 15 cylindrical pipes, each with a 12 cm radius and a height of 50 cm? 💧 Let's find out!
This tutorial focuses on a critical...
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Key Concepts & Vocabulary
TermDefinitionExample
Commutative Property of MultiplicationThis property states that the order in which you multiply numbers does not change the product.Calculating the volume of a cylinder might involve `3.14 * 16 * 16 * 20`. Using this property, you could rearrange it to `3.14 * 20 * 16 * 16` to simplify mental math.
Associative Property of MultiplicationThis property states that when you multiply three or more numbers, the way you group them in parentheses does not change the product.For `15 * 12 * 10`, you can calculate it as `(15 * 12) * 10 = 180 * 10 = 1800` or as `15 * (12 * 10) = 15 * 120 = 1800`.
Radius (r)The distance from the center of a circle to any point on its circumference. In the coordinate plane, it is the distance from the center (h, k) to a point (x, y) on the circle....
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Core Formulas
Area of a Circle Formula
A = \pi r^2
Use this formula to find the area (A) of a circle when you know its radius (r). This is often the first calculation in a volume problem and involves multiplying `π` by the radius twice (`r * r`).
Volume of a Cylinder Formula
V = \pi r^2 h
Use this formula to find the volume (V) of a cylinder. This calculation requires multiplying three numbers: `π`, the radius squared (`r * r`), and the height (`h`). This is a direct application of multiplying three or more numbers.
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Challenging
A concrete pipe is a hollow cylinder with an outer radius of 15 cm, an inner radius of 12 cm, and a length of 50 cm. What is the volume of the concrete used to make the pipe? Use π ≈ 3.14.
A.12717 cm³
B.35325 cm³
C.22608 cm³
D.47728 cm³
Challenging
The radius of a cylinder is doubled, and its height is tripled. By what factor does the volume of the cylinder increase?
A.5
B.6
C.9
D.12
Challenging
A circle in the coordinate plane is centered at (5, 2) and passes through the point (5, 15). If this circle forms the base of a cylinder with a height of 20 units, what is the volume of the cylinder? Use π ≈ 3.14.
A.8164 units³
B.10613.2 units³
C.5306.6 units³
D.4082 units³
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What grade level is "Multiply three or more numbers up to 2 digits each"?
Multiply three or more numbers up to 2 digits each is a Grade 10 Mathematics lesson on ExcelOS.
What will I learn in Multiply three or more numbers up to 2 digits each?
You'll be able to: Solve multiplication problems involving three or more numbers, where each number is a 2-digit number or less, with at least 80% accuracy; Explain the order of operations (grouping symbols first, then multiplication) when….
Is "Multiply three or more numbers up to 2 digits each" free to practice?
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How many practice questions are included with Multiply three or more numbers up to 2 digits each?
This lesson includes 24 practice questions across multiple difficulty levels, each with instant feedback and explanations.