How many zeros will be in the product of 7 times 5,000? Without calculating the answer, explain how to use place value strategies or the associative property to find the number of zeros in the product

Respuesta :

Answer:

We can see that 5000 has 3 zeros, and 7 has none.

This means that the product will have at least 3 zeros.

Now multiplying the first numbers, [tex]5\times7=35[/tex]

And putting three zeroes after 35.

Therefore, We get the product as 35000.

Regarding the place values, the zeroes will always come in the right most side in questions similar to this given question.

Place value can be defined as the value of each digit in a given number.

The number of zeros in the product of 7 and 5,000 is 3.

The associative property of multiplication states that no matter the grouping of the numbers we want to multiply, the product of the numbers remains the same.

Mathematically, this means that:

a(b x c) = (a x b)c

For our question, we are given:

7 x 5,000

5000 can also be written as: 5 x 1000. This also means the place value of 5000 is Thousands because it has 3 zeros.

Using associative property:

7(5 x 1000) = (7 x 5) x 1000

35,000 = 35,000

Therefore, the number of zeros in 7 x 5000 = 35,000 is 3 zeros because it has 3 zeros, its place value is thousands.

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https://brainly.com/question/5499020