Sure, let's solve the equation [tex]\( 525 = 3 \times 5 \times \quad \times 7 \)[/tex] by finding the missing number step by step.
1. Identify the known factors and set up the equation:
- We are given four numbers: [tex]\( 525 \)[/tex] on the left side, and [tex]\( 3 \)[/tex], [tex]\( 5 \)[/tex], and [tex]\( 7 \)[/tex] on the right side, leaving one number unknown.
[tex]$ 525 = 3 \times 5 \times \text{unknown factor} \times 7 $[/tex]
2. Multiply the known factors:
- First, multiply [tex]\( 3 \)[/tex] and [tex]\( 5 \)[/tex]:
[tex]$ 3 \times 5 = 15 $[/tex]
- Now, multiply the result by [tex]\( 7 \)[/tex]:
[tex]$ 15 \times 7 = 105 $[/tex]
3. Set up the division to find the unknown factor:
- The given value on the left side of the equation is [tex]\( 525 \)[/tex].
- We already know the product of the three given factors on the right side is [tex]\( 105 \)[/tex].
- To isolate the unknown factor, divide [tex]\( 525 \)[/tex] by the product of the known factors:
[tex]$ \text{unknown factor} = \frac{525}{105} $[/tex]
4. Perform the division:
- Calculate [tex]\( \frac{525}{105} \)[/tex]:
[tex]$ \frac{525}{105} = 5 $[/tex]
The missing factor is [tex]\( 5 \)[/tex]. Hence, the complete equation with all the factors is:
[tex]$ 525 = 3 \times 5 \times 5 \times 7 $[/tex]
