Write each statement as a decimal to two decimal places.

Mathematics

1 answer:

Ad libitum [116K]2 years ago

5 0

Step-by-step explanation:

The above given statements can be written as decimals by first writing both quantities in a statement in the same unit.

1. $6.00 to 95 cents:

This is same as $6.00 : 95 cents = \frac{6.00}{95}956.00

Convert $6 .00 to cents to make both quantities be in the same unit.

$1 = 100 cents

$6.00 = 6*100 = 600 cents

\frac{600}{95} = 6.3295600=6.32 (to 2 d.p)

2. 3 hours to 35 minutes:

Convert 3 hours to 35 mins

1 hr = 60 mins

3 hrs = 3*60 = 180 mins

180mins : 35 mins = \frac{180}{35} = 5.14180mins:35mins=35180=5.14 (2 d.p)

3. 42 inches to 2 feet:

Convert 2 ft to inches

1 ft = 12 inches

2ft = 2*12 = 24 inches

42 in:24 in = \frac{42}{24} = 1.7542in:24in=2442=1.75

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Use the properties of operations to determine if each pair of expressions is equivalent

SIZIF [17.4K]

Using the properties of operations the given pair of expressions are not equivalent

Solution:

Given that, we have to use the properties of operations to determine if each pair of expressions is equivalent

And the two expressions are:

$\frac{1}{2}(4-2 x) \text { and } 2-2 x$

Now, we know that, there are four (4) basic properties of operations:

Commutative, Associative, Distributive and Identity. These properties only apply to the operations of addition and multiplication.

So, if we observe we can apply distributive property on 1st expression

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum.

$\begin{array}{l}{\frac{1}{2}(4-2 x) \rightarrow \frac{1}{2}(4)-\frac{1}{2}(2 x)} \\\\ {\rightarrow 2-x}\end{array}$