Question

How is place value used to model and find products when multiplying 2 digit numbers?
Give an example to explain your answer.


Please do explain and with numbers and multiple.o

Answer 1

Answer:

1 x 4=4 (Both numbers are in the ones place, so their value are ones.)

Step-by-step explanation

In order to use place value to multiply, we use the distributive property to break apart each place. Always begin with the ones place. We can break apart a 2-digit by 1-digit number into 2 simpler problems. 1 x 4=4 (Both numbers are in the ones place, so their value are ones.)

Answer 2

This is about understanding Place Value.

An example of multiplication of two digit numbers has been done using Place value method.

• Place value is simply defined as the value of each digit in a given number.

For example, if we have a number to be 152, the place values are;

1 is 100; 5 is 50 and 2 is 2. This means that first number from the right is units, second from right is tens and third from right is hundreds.

• Now, in a two digit number of say 37, using place value means that;

3 is 30 and 7 remains 7.

• let us use place value in addition before we answer the question.

If we want to add 47 + 52;

47 is; 40 and 7 while 52 is 50 and 2.

To add this, we will add the tens digit together and the units together to get; (40 + 50) + (7 + 2) = 99

• Now, in multiplication; 47 × 52;

47 is; 40 and 7 while 52 is 50 and 2.

Using the distributive property, we have;

(40 + 7) × (50 + 2)

⇒ 40(50) + 40(2) + 7(50) + 7(2)

⇒ 2000 + 80 + 350 + 14

⇒ 2444

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