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Answer :
To solve the problem of finding 7 x 6 using George's approach, let’s break it down step by step:
George suggests using the facts 5 x 3 and 2 x 3. Let's see how this works:
1. Calculate 5 x 3:
- 5 groups of 3: [tex]\( 5 \times 3 = 15 \)[/tex].
2. Calculate 2 x 3:
- 2 groups of 3: [tex]\( 2 \times 3 = 6 \)[/tex].
3. Add the results of 5 x 3 and 2 x 3:
- Combine these results to get the total for 7 groups of 3:
- [tex]\( 15 + 6 = 21 \)[/tex].
4. Relate it to 7 x 6:
- You’ve found that 7 x 3 is 21.
- Now, since 6 is double of 3, you need to double the result of 7 x 3 to find 7 x 6:
- [tex]\( 21 \times 2 = 42 \)[/tex].
Therefore, George's method correctly shows that [tex]\( 7 \times 6 = 42 \)[/tex]. The correct option from the choices is:
Option D: Yes, 5 x 3 plus 2 x 3 equals 5 groups of 3 plus 2 groups of 3. That is 7 groups of 3, or 21. Because 6 is a double of 3, George needs to double his answer to find 7 x 6, or 42.
George suggests using the facts 5 x 3 and 2 x 3. Let's see how this works:
1. Calculate 5 x 3:
- 5 groups of 3: [tex]\( 5 \times 3 = 15 \)[/tex].
2. Calculate 2 x 3:
- 2 groups of 3: [tex]\( 2 \times 3 = 6 \)[/tex].
3. Add the results of 5 x 3 and 2 x 3:
- Combine these results to get the total for 7 groups of 3:
- [tex]\( 15 + 6 = 21 \)[/tex].
4. Relate it to 7 x 6:
- You’ve found that 7 x 3 is 21.
- Now, since 6 is double of 3, you need to double the result of 7 x 3 to find 7 x 6:
- [tex]\( 21 \times 2 = 42 \)[/tex].
Therefore, George's method correctly shows that [tex]\( 7 \times 6 = 42 \)[/tex]. The correct option from the choices is:
Option D: Yes, 5 x 3 plus 2 x 3 equals 5 groups of 3 plus 2 groups of 3. That is 7 groups of 3, or 21. Because 6 is a double of 3, George needs to double his answer to find 7 x 6, or 42.
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