Respuesta :
no because 3x24=72 whereas cindy got 32. for cindy's "trick" to work, she would also have to multiply the remaining 2 tens by 3, getting a product of 60, and adding it the the previous product of 12.
Cindy's shortcut will not work because;
She made a mistake by not multiplying the 2 tens by 3 .
- She wants to multiply 3 × 24.
Now, for 24; 2 is the tens digit and 4 is the units digit.
This means according to partial products, we can rewrite 24 as; (2 × 10) + (4 × 1)
Now, to multiply 3 by (2 × 10) + (4 × 1) gives the expression;
3[(2 × 10) + (4 × 1)]
- Using distributive property to distribute 3 into the bracket, we have;
3(2 × 10) + 3(4 × 1)
- For her first step, she did; 3 × 4 = 12
This corresponds with the solution i got which is 3(4 × 1) = 12.
Now, the second part of the solution is; 3(2 × 10) = 60
But she just used 2 tens which is (2 × 10) = 20.
- She now proceeded to add the 2 tens to the 1 ten and 2 ones instead of adding 6 tens to the 1 ten and 2 ones .
This means she failed to multiply 2 tens by 3 and that was her mistake.
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