Answered

2. Fill in the blanks.

a. [tex]\( 77 + \quad = 103 + 77 \)[/tex]

b. [tex]\( 56 + (937 + 44) = 937 + (\quad) \)[/tex]

c. [tex]\( 88 + 0 = \quad \)[/tex]

d. [tex]\( 872 + \quad = 872 \)[/tex]

e. [tex]\( 77 + 998 = 998 + \quad \)[/tex]

f. [tex]\( 183 \times \quad = 183 \)[/tex]

g. [tex]\( 75 \times 42 = 42 \times \quad \)[/tex]

h. [tex]\( 394 \times 65 \times 72 = 394 \times 72 \times \quad \)[/tex]

i. [tex]\( 2 \times 179 \times 50 = 179 \times \quad \)[/tex]

j. [tex]\( \quad \div 972 = 1 \)[/tex]



Answer :

GinnyAnswer
Sure, let's fill in the blanks step-by-step, explaining each part clearly:

### a. [tex]\(77 + \_\_\_\_\_ = 103 + 77\)[/tex]

To make the equation true, the blank must be equal to 103.

So:
[tex]\[ 77 + 103 = 103 + 77 \][/tex]

### b. [tex]\(56 + (937 + 44) = 937 + (\_\_\_\_\_)\)[/tex]

Using the associative property of addition, the blank must be 44.

So:
[tex]\[ 56 + (937 + 44) = 937 + (56 + 44) \][/tex]

### c. [tex]\(88 + 0 = \_\_\_\_\_\)[/tex]

Using the identity property of addition, the blank must be 88.

So:
[tex]\[ 88 + 0 = 88 \][/tex]

### d. [tex]\(872 + \_\_\_\_\_ = 872\)[/tex]

Using the identity property of addition, the blank must be 0.

So:
[tex]\[ 872 + 0 = 872 \][/tex]

### e. [tex]\(77 + 998 = 998 + \_\_\_\_\_\)[/tex]

Using the commutative property of addition, the blank must be 77.

So:
[tex]\[ 77 + 998 = 998 + 77 \][/tex]

### f. [tex]\(183 \times \_\_\_\_\_ = 183\)[/tex]

Using the identity property of multiplication, the blank must be 1.

So:
[tex]\[ 183 \times 1 = 183 \][/tex]

### g. [tex]\(75 \times 42 = 42 \times \_\_\_\_\_\)[/tex]

Using the commutative property of multiplication, the blank must be 75.

So:
[tex]\[ 75 \times 42 = 42 \times 75 \][/tex]

### h. [tex]\(394 \times 65 \times 72 = 394 \times 72 \times \_\_\_\_\_\)[/tex]

Using the associative property of multiplication, the blank must be 65.

So:
[tex]\[ 394 \times 65 \times 72 = 394 \times 72 \times 65 \][/tex]

### i. [tex]\(2 \times 179 \times 50 = 179 \times \_\_\_\_\_\)[/tex]

To make the equation true, you need:
[tex]\[ 179 \times (2 \times 50) \][/tex]

So the blank must be:
[tex]\[ 2 \times 50 = 100 \][/tex]

Thus:
[tex]\[ 2 \times 179 \times 50 = 179 \times 100 \][/tex]

### j. [tex]\(\_\_\_\_\_\div 972 = 1\)[/tex]

To make the division true, the blank must be 972.

So:
[tex]\[ 972 \div 972 = 1 \][/tex]

Putting it all together:

[tex]\[ \begin{aligned} \text{a. } & 77 + \text{103} = 103 + 77 \\ \text{b. } & 56 + (937 + 44) = 937 + (56 + 44) \\ \text{c. } & 88 + 0 = 88 \\ \text{d. } & 872 + 0 = 872 \\ \text{e. } & 77 + 998 = 998 + 77 \\ \text{f. } & 183 \times \text{1} = 183 \\ \text{g. } & 75 \times 42 = 42 \times 75 \\ \text{h. } & 394 \times 65 \times 72 = 394 \times 72 \times 65 \\ \text{i. } & 2 \times 179 \times 50 = 179 \times 100 \\ \text{j. } & 972 \div 972 = 1 \\ \end{aligned} \][/tex]