3.1 Signed numbers

$4+10$

$7+(-4)$

$-9+2$

$-16-(+8)$

$-1-(-9)$

$0+(-7)$

8

17

$-6$

$-15$

$-(-1)$

$-[-(-7)]$

Suppose that $a$ is a positive number. What type of number is $-a$ ?

Suppose that $a$ is a negative number. What type of number is $-a$ ?

Suppose we do not know the sign of the number $m$ . Can we say that $-m$ is positive, negative, or that we do notknow ?

A number is denoted as positive if it is directly preceded by ____________________ .

A number is denoted as negative if it is directly preceded by ____________________ .

$-5$

$-3$

12

10

$-(-4)$

$-(-1)$

$5+7$

$2+6$

$11+(-2)$

$1+(-5)$

$6-(-8)$

$0-(-15)$

$-(-8)$

$-(-5)$

$-(-2)$

$-(-9)$

$-(-1)$

$-(-4)$

$-[-(-3)]$

$-[-(-10)]$

$-[-(-6)]$

$-[-(-15)]$

$-\{-[-(-26)]\}$

$-\{-[-(-11)]\}$

$-\{-[-(-31)]\}$

$-\{-[-(-14)]\}$

$-[-(12)]$

$-[-(2)]$

$-[-(17)]$

$-[-(42)]$

$5-(-2)$

$6-(-14)$

$10-(-6)$

$18-(-12)$

$31-(-1)$

$54-(-18)$

$6-(-3)-(-4)$

$2-(-1)-(-8)$

$15-(-6)-(-5)$

$24-(-8)-(-13)$

( [link] ) There is only one real number for which ${(5a)}^2=5a^2$ . What is the number?

( [link] ) Simplify $(3xy)(2x^2{y}^3)(4x^2{y}^4)$ .

( [link] ) Simplify $x^{n+3}\cdot x^5$ .

( [link] ) Simplify ${(a^3{b}^2{c}^4)}^4$ .

( [link] ) Simplify ${\left(\frac{4a^{2}b}{3x{y}^3}\right)}^2$ .