Look at the number below and use place value knowledge to complete the statements that follow.

5,642

If the 4 was moved one place to the left, its value would be ______
times the value it represents in 5,642.
So, the value of 4 moved one place to the left would be __
.

1 answer

In the number 5,642, the digit 4 is in the hundreds place, which means its value is 400.

If the 4 is moved one place to the left, it will be in the thousands place. In that position, the value of 4 would be 4,000.

To find out how many times the new value is compared to the original value, we can divide the new value by the original value:

\[ \frac{4,000}{400} = 10 \]

So, if the 4 was moved one place to the left, its value would be 10 times the value it represents in 5,642.

Thus, the value of 4 moved one place to the left would be 4,000.