Question

a) Use numbers 7,5,6 and 3, only once each, to create an expression that equals 75. You may use addition, subtraction, multiplication, and/or division, but you must use parentheses.

Answer: (7+5)x6+3

b) Now use the Distributive Property to write an equivalent expression without parentheses. (You may use the numbers more than once or use different digits for this part only)

Answer:

Answer 1

6(7+5) + 3 =
42 + 30 + 3 =      <<<< This one is the equivalent expression

If you wanted to continue and solve...

72 + 3 =
75

Answer 2

Mathematical expressions are expressions that uses at least one mathematical operator

• The expression is $\mathbf{(7+5) \times 6+3}$
• The equivalent expression is: 42 + 30 + 3

(a) The expression

Only one expression fits the given description.

And the expression is (7+5)x6+3

(b) Equivalent expression of (a)

In (a), we have:

$\mathbf{(7+5) \times 6+3}$

Distribute the expression as follows:

$\mathbf{(7+5) \times 6+3 = 7 \times 6 + 5 \times 6 + 3}$

Evaluate the products

$\mathbf{(7+5) \times 6+3 = 42 + 30 + 3}$

Hence, the equivalent expression is 42 + 30 + 3

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