Of course! Let's break down and solve the mathematical expressions provided step-by-step.
### Expression 1: [tex]\(5 - 32 \times 5 \div 4\)[/tex]
Here’s how you can evaluate this expression step-by-step:
1. Order of Operations:
- First, perform the multiplication and division from left to right.
- Then perform the subtraction.
2. Begin with the multiplication and division:
- [tex]\( 32 \times 5 = 160 \)[/tex]
- [tex]\( 160 \div 4 = 40 \)[/tex]
3. Now, subtract 40 from 5:
- [tex]\( 5 - 40 = -35 \)[/tex]
So, the result of the first expression is [tex]\(-35\)[/tex].
### Expression 2: [tex]\(7 \times 7 \times 5 \times 32\)[/tex]
Let’s evaluate this expression step-by-step:
1. Order of Operations:
- Simply perform the multiplications from left to right.
2. Begin with the first two multiplications:
- [tex]\( 7 \times 7 = 49 \)[/tex]
- [tex]\( 49 \times 5 = 245 \)[/tex]
3. Now, multiply the result by 32:
- [tex]\( 245 \times 32 = 7840 \)[/tex]
So, the result of the second expression is [tex]\(7840\)[/tex].
### Summary:
- The value of the first expression [tex]\( 5 - 32 \times 5 \div 4 \)[/tex] is [tex]\(-35\)[/tex].
- The value of the second expression [tex]\( 7 \times 7 \times 5 \times 32 \)[/tex] is [tex]\(7840\)[/tex].
Therefore, the two expressions result in [tex]\((-35, 7840)\)[/tex].
