Question

1. use digits and symbols to write \seven minus ten equals negative three.\

8.
rectangle with length 8 cm and width 4 cm
a. find the perimeter of this rectangle.
b. find the area of this rectangle.

1. reduce:

a. $5\frac{18}{24}$
b. $\frac{12}{21}$

Explanation:

7.

Step1: Translate words to symbols

"Seven" is \(7\), "minus" is \(-\), "ten" is \(10\), "equals" is \(=\), "negative three" is \(-3\).

Step2: Form the equation

Combine the symbols: \(7 - 10 = -3\).

Step1: Recall perimeter formula for rectangle

The formula for the perimeter \(P\) of a rectangle is \(P = 2\times (length + width)\).

Step2: Identify length and width

Here, length \(l = 8\) cm and width \(w = 4\) cm.

Step3: Substitute into formula

\(P = 2\times(8 + 4)\)
\(= 2\times12\)
\(= 24\) cm.

Step1: Recall area formula for rectangle

The formula for the area \(A\) of a rectangle is \(A = length\times width\).

Step2: Identify length and width

Length \(l = 8\) cm and width \(w = 4\) cm.

Step3: Substitute into formula

\(A = 8\times4\)
\(= 32\) \(cm^2\).

Answer:

\(7 - 10 = -3\)

8a.