To solve the problem of multiplying 5 by 674, let's break it down step by step:
1. Write down the numbers clearly:
- The first number is 5.
- The second number is 674.
2. Understand that multiplication is repeated addition:
- We are essentially adding 674 a total of 5 times.
3. Perform the multiplication:
- Start with the units place:
- [tex]\( 5 \times 4 = 20 \)[/tex]. Write down 0 and carry over 2.
- Move to the tens place:
- [tex]\( 5 \times 7 = 35 \)[/tex]. Adding the 2 we carried over: [tex]\( 35 + 2 = 37 \)[/tex]. Write down 7 and carry over 3.
- Finally, the hundreds place:
- [tex]\( 5 \times 6 = 30 \)[/tex]. Adding the 3 we carried over: [tex]\( 30 + 3 = 33 \)[/tex]. Write down the 33.
4. Combine all the partial results:
- Putting it all together, we have 3370.
Thus, multiplying 5 by 674 gives us [tex]\( 3370 \)[/tex].
