Question

Use grouping symbols and at least one exponent to write a numerical expression that has a value of 80.

Answer 1

To group an expression, means that the factors of the expression are to be separated in (), [] or {}.

An expression with a value of 80 is: $2^2 \times ( [2 + 2] \times [3 + 2] )$

The number is given as:

$80$

Factorize

$80 = 2 \times 40$

Factorize 40

$80 = 2 \times 2 \times 20$

Express $2 \times 2$ as an exponent

$80 = 2^2 \times 20$

Express 20 as 4 x 5

$80 = 2^2 \times ( 4 \times 5)$

Express 5 as 3 + 2

$80 = 2^2 \times ( 4 \times [3 + 2] )$

Express 4 as 2 + 2

$80 = 2^2 \times ( [2 + 2] \times [3 + 2] )$

Hence, the above expression has a numerical value of 80

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