4. Simplify the following:

(a) [tex]4739 + 63 \times 3290 + 14 - 12698[/tex]

(b) [tex]12276 + 18 \times 53 + 28956[/tex]

(c) [tex]67 \times 43 - 42432 + 17 + 3615[/tex]

(d) [tex]8930 + 5497 + 19 \times 35[/tex]



Answer :

Sure! Let's simplify each expression step-by-step.

### Part (a)
Simplify: [tex]\(4739 + 63 \times 3290 + 14 - 12698\)[/tex]

1. First, calculate the multiplication: [tex]\(63 \times 3290\)[/tex].
2. Then add 4739 to the result.
3. Next, add 14.
4. Finally, subtract 12698.

Final simplified result:
[tex]\[ 4739 + 63 \times 3290 + 14 - 12698 = 199325 \][/tex]

### Part (b)
Simplify: [tex]\(12276 + 18 \times 53 + 28956\)[/tex]

1. Start with the multiplication: [tex]\(18 \times 53\)[/tex].
2. Add 12276 to the result.
3. Then add 28956 to that result.

Final simplified result:
[tex]\[ 12276 + 18 \times 53 + 28956 = 42186 \][/tex]

### Part (c)
Simplify: [tex]\(67 \times 43 - 42432 + 17 + 3615\)[/tex]

1. Begin with the multiplication: [tex]\(67 \times 43\)[/tex].
2. Subtract 42432 from the result.
3. Then add 17.
4. Finally, add 3615.

Final simplified result:
[tex]\[ 67 \times 43 - 42432 + 17 + 3615 = -35919 \][/tex]

### Part (d)
Simplify: [tex]\(8930 + 5497 + 19 \times 35\)[/tex]

1. First, do the multiplication: [tex]\(19 \times 35\)[/tex].
2. Add 8930 to the result.
3. Then add 5497.

Final simplified result:
[tex]\[ 8930 + 5497 + 19 \times 35 = 15092 \][/tex]