Question

homework
activity 1
tell the value for the variable.

1. (mdiv8 = 6)
2. (4cdot7=n)
3. (5 + p=14)
4. (r - 8=9)
5. (35div5=t)
6. (3cdot u = 18)

activity 2

1. does (x + y=y + x) describe the pattern shown by these number sentences?

(4 + 5=5 + 4)
(3+2 = 2+3)
(7 + 8=8 + 7)

1. does (acdot bcdot c=ccdot bcdot a) describe the pattern shown by these number sentences?

(3cdot\frac{1}{3}cdot1=\frac{1}{3}cdot1cdot3)
(2cdot4cdot6 = 4cdot6cdot2)
(8cdot1.2cdot3=1.2cdot3cdot8)

1. does (acdot0 = 0) describe the pattern shown by these number sentences?

(0cdot0 = 0)
(3cdot3 = 9)
(\frac{1}{4}cdot\frac{1}{4}=\frac{1}{16})

1. does (0 + w=w) describe the pattern shown by these number sentences?

(0+\frac{1}{3}=\frac{1}{3})
(0 + 0.25=0.25)
(0 + 5=5)
part 3 on the back.

Explanation:

Activity 1

Question 1

• Multiply both sides by 8 to isolate m.

$m\div8 = 6$, so $m=6\times8$

Question 2

• Calculate the product.

$n = 4\times7$

Question 3

• Subtract 5 from both sides to isolate p.

$5 + p=14$, so $p=14 - 5$

Question 4

• Add 8 to both sides to isolate r.

$r-8 = 9$, so $r=9 + 8$

Question 5

• Calculate the quotient.

$t=35\div5$

Question 6

• Divide both sides by 3 to isolate u.

$3\cdot u = 18$, so $u=\frac{18}{3}$

Activity 2

Question 1

• The equation $x + y=y + x$ is the commutative - property of addition. Check if the given number sentences follow it.

The given sentences $4 + 5=5 + 4$, $3+2 = 2 + 3$, $7 + 8=8 + 7$ follow the commutative property of addition.

Question 2

• The equation $a\cdot b\cdot c=c\cdot b\cdot a$ is the commutative property of multiplication. Check if the given number sentences follow it.

The given sentences $3\cdot\frac{1}{3}\cdot1=\frac{1}{3}\cdot1\cdot3$, $2\cdot4\cdot6 = 4\cdot6\cdot2$, $8\cdot1.2\cdot3=1.2\cdot3\cdot8$ follow the commutative property of multiplication.

Question 3

• The equation $a\cdot0 = 0$ is the zero - property of multiplication. Check if the given number sentences follow it.

The sentence $0\cdot0 = 0$ follows the zero - property of multiplication, but $3\cdot3 = 9$ and $\frac{1}{4}\cdot\frac{1}{4}=\frac{1}{16}$ do not.

Question 4

• The equation $0 + w=w$ is the identity property of addition. Check if the given number sentences follow it.

The sentences $0+\frac{1}{3}=\frac{1}{3}$, $0 + 0.25=0.25$, $0 + 5=5$ follow the identity property of addition.

Answer:

Activity 1

1. $m = 48$
2. $n = 28$
3. $p = 9$
4. $r = 17$
5. $t = 7$
6. $u = 6$

Activity 2

1. Yes
2. Yes
3. No
4. Yes