Chapter 1: Q3. (page 19)

Evaluate each expression using the properties of numbers. Name the property used in each step.
3A. $2 .9 \cdot 4 \cdot 10$

Short Answer

Expert verified

The value of the expression is 116.

Step by step solution

–Write the formulae used

Associative property of multiplication:

$(a \cdot b) \cdot c = a \cdot (b \cdot c)$

Commutative property of multiplication:

$a \cdot b = b \cdot a$

Inverse property of multiplication:

$a \cdot \frac{1}{a} = \frac{1}{a} \cdot a = 1$

– Write the given information

The expression given is

$2.9 \cdot 4 \cdot 10$

- DESCRIPTION OF STEP

To solve given expression first rewrite it as:

$2.9 \cdot 4 \cdot 10 = \frac{29}{10} \cdot 4 \cdot 10$

Now use commutative property and associative property to solve it as:

$\begin{matrix} \frac{29}{10} \cdot 4 \cdot 10 = 4 \cdot \frac{29}{10} \cdot 10 \\ = 4 \cdot (\frac{29}{10} \cdot 10) \\ = 4 \cdot (29 \cdot 1) inverseproperty \\ = 4 \cdot 29 \\ = 116 \end{matrix}$

Hence, $2.9 \cdot 4 \cdot 10 = 116$

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Evaluate each expression using the properties of numbers. Name the property used in each step.
3A. $2 .9 \cdot 4 \cdot 10$

Short Answer

Step by step solution

–Write the formulae used

– Write the given information

- DESCRIPTION OF STEP

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Evaluate each expression using the properties of numbers. Name the property used in each step.3A.2.9⋅4⋅10

Short Answer

Step by step solution

–Write the formulae used

– Write the given information

- DESCRIPTION OF STEP

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Calculus

Pure Maths

Decision Maths

Discrete Mathematics

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

Evaluate each expression using the properties of numbers. Name the property used in each step.
3A. $2 .9 \cdot 4 \cdot 10$