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Answer :
Sure! Let's solve each part of the problem step by step.
### Part a: [tex]\( 7382 \times 39 \)[/tex]
1. Multiply 7382 by 9 (which is the units digit of 39):
[tex]\[
7382 \times 9 = 66438
\][/tex]
2. Multiply 7382 by 30 (which is the tens digit of 39, note that it's actually 3, but because it's in the tens place we multiply by 30):
[tex]\[
7382 \times 30 = 221460
\][/tex]
3. Add the two results:
[tex]\[
66438 + 221460 = 287898
\][/tex]
So, [tex]\( 7382 \times 39 = 287898 \)[/tex].
### Part b: [tex]\( 6928 \times 72 \)[/tex]
1. Multiply 6928 by 2 (which is the units digit of 72):
[tex]\[
6928 \times 2 = 13856
\][/tex]
2. Multiply 6928 by 70 (which is the tens digit of 72, note that it's actually 7, but because it's in the tens place we multiply by 70):
[tex]\[
6928 \times 70 = 484960
\][/tex]
3. Add the two results:
[tex]\[
13856 + 484960 = 498816
\][/tex]
So, [tex]\( 6928 \times 72 = 498816 \)[/tex].
### Summary:
- [tex]\( 7382 \times 39 = 287898 \)[/tex]
- [tex]\( 6928 \times 72 = 498816 \)[/tex]
These are the step-by-step detailed solutions for each given problem.
### Part a: [tex]\( 7382 \times 39 \)[/tex]
1. Multiply 7382 by 9 (which is the units digit of 39):
[tex]\[
7382 \times 9 = 66438
\][/tex]
2. Multiply 7382 by 30 (which is the tens digit of 39, note that it's actually 3, but because it's in the tens place we multiply by 30):
[tex]\[
7382 \times 30 = 221460
\][/tex]
3. Add the two results:
[tex]\[
66438 + 221460 = 287898
\][/tex]
So, [tex]\( 7382 \times 39 = 287898 \)[/tex].
### Part b: [tex]\( 6928 \times 72 \)[/tex]
1. Multiply 6928 by 2 (which is the units digit of 72):
[tex]\[
6928 \times 2 = 13856
\][/tex]
2. Multiply 6928 by 70 (which is the tens digit of 72, note that it's actually 7, but because it's in the tens place we multiply by 70):
[tex]\[
6928 \times 70 = 484960
\][/tex]
3. Add the two results:
[tex]\[
13856 + 484960 = 498816
\][/tex]
So, [tex]\( 6928 \times 72 = 498816 \)[/tex].
### Summary:
- [tex]\( 7382 \times 39 = 287898 \)[/tex]
- [tex]\( 6928 \times 72 = 498816 \)[/tex]
These are the step-by-step detailed solutions for each given problem.
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