Question

Noah loves the Half-Tens facts and often uses them to solve multiplication problems. Make up a 2-digit by 3-digit multiplication problem for which using Half- Ten facts is efficient. Then, solve the problem using that strategy.

Answer 1

Half Tens is a way of multiplying where we have to find the value of given numbers. First we double any 'one' of the two given numbers and multiply both to get an answer. Then we divide that answer by '2' to get the answer.

Lets take two numbers as 16 and 340

$16\times340=?$

Double the number 16

$32\times340=10880$

Now we will divide this by 2

$\frac{10880}{2}= 5440$

So, if we check $16\times340=?$ , it is 5440.

Similarly if we double the number 340, we get 680

Now, $16\times680=10880$

And 10880/2 = 5440

Hence, in both ways the answer is 5440.

Answer 2

In Half-Tens method first, double the first number then multiply that number with the second number, and then divide that value by 2 the result obtained is the required result.

Given :

Noah loves the Half-Tens facts and often uses them to solve multiplication problems.

It is given that make up a 2-digit by 3-digit multiplication problem for which using Half Ten facts is efficient.

So, let the two numbers be 56 and 362 then multiply both the numbers by using the Half-Tens method.

First, double the two-digit number:

$=56\times2$

= 112

Then multiply the above number by 362.

$=112\times 362$

= 40544

Then divide the above number by 2.

$=\dfrac{40544}{2}$

= 20272

Now, check : $56\times 362= 20272$

Now, similarly double the number 362.

$=362\times 2$.

= 724

Then multiply the above number by 56.

$=724\times 56$

= 40544

Then divide the above number by 2.

$=\dfrac{40544}{2}$

= 20272

Now, check : $56\times 362= 20272$

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https://brainly.com/question/22687297