Name: Matchstick Patterns
Uploaded: 2019-07-19
Duration: 5 min 53 s
Description: We can use matchsticks to create several patterns and series. Can you calculate the number of matchsticks required without actually making the model of the p...

Question

Complete the table for four expressions that have the given expression value $24$ .

Expression Value	Value of $n$
$24$	$3$
Addition Expression:
Subtraction Expression:
Multiplication Expression:
Division Expression:

Accepted Answer

Let the unknown number be $x$ .

For addition expression

$x + n = 24$

$24$

$x = 24 - 3$

$x = 21$

So, the addition expression is $21 + n$ .

For subtraction expression,

$x - n = 24$

$x - 3 = 24$

$x = 24 + 3$

$x = 27$

So, the subtraction expression is $27 - n$ .

For multiplication expression,

$x n = 24$

$x \times 3 = 24$

$x = \frac{24}{3}$

$x = 8$

So, the multiplication expression is $8 n$ .

For division expression,

$\frac{x}{n} = 24$

$\frac{x}{3} = 24$

$x = 24 \times 3$

$x = 72$

So, the division expression is $\frac{72}{n}$ .

Expression Value Value of $n$

$24$ $3$

Addition Expression: $21 + n$

Subtraction Expression: $27 - n$

Multiplication Expression: $8 n$

Division Expression: $\frac{72}{n}$

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