QuestionFind how many times the value of 7 in 64,713 is compared to 375, and the value of 3 in 375 compared to 64,713.

Studdy Solution

STEP 1

Assumptions1. The value of a digit in a number is determined by its place in the number. . The place value system is based on powers of10.
3. The rightmost digit in a number has a place value of10^0 or1.
4. Each digit to the left of the rightmost digit has a place value that is10 times the place value of the digit to its right.

STEP 2

First, we need to find the value of the digit7 in64,713. This can be done by multiplying the digit7 by its place value.
$Value_{7_{64713}} =7 \\times Place\, value_{7_{64713}}$

STEP 3

The place value of the digit7 in64,713 is10^1 or10.
$Value_{7_{64713}} =7 \\times10$

STEP 4

Calculate the value of the digit7 in64,713.
$Value_{7_{64713}} =7 \\times10 =70$

STEP 5

Next, we need to find the value of the digit7 in375. This can be done by multiplying the digit7 by its place value.
$Value_{7_{375}} =7 \\times Place\, value_{7_{375}}$

STEP 6

The place value of the digit in375 is10^2 or100.
$Value_{_{375}} = \\times100$

STEP 7

Calculate the value of the digit7 in375.
$Value_{7_{375}} =7 \\times100 =700$

STEP 8

Now, we can find how many times the value of the digit7 in64,713 is of the value of the digit7 in375 by dividing the two values.
$Times_{7} = Value_{7_{64713}} / Value_{7_{375}}$

STEP 9

Plug in the values for Value_{7_{64713}} and Value_{7_{375}} to calculate Times_{7}.
$Times_{7} =70 /700$

STEP 10

Calculate Times_{7}.
$Times_{7} =70 /700 =0.$

STEP 11

Next, we need to find the value of the digit3 in375. This can be done by multiplying the digit3 by its place value.
$Value_{3_{375}} =3 \\times Place\, value_{3_{375}}$

STEP 12

The place value of the digit in375 is10^2 or100.
$Value_{_{375}} = \\times100$

STEP 13

Calculate the value of the digit3 in375.
$Value_{3_{375}} =3 \\times100 =300$

STEP 14

Next, we need to find the value of the digit3 in64,713. This can be done by multiplying the digit3 by its place value.
$Value_{3_{64713}} =3 \\times Place\, value_{3_{64713}}$

STEP 15

The place value of the digit3 in64,713 is10^0 or.
$Value_{3_{64713}} =3 \\times$

STEP 16

Calculate the value of the digit3 in64,713.
$Value_{3_{64713}} =3 \\times =3$

STEP 17

Now, we can find how many times the value of the digit3 in375 is of the value of the digit3 in64,713 by dividing the two values.
$Times_{3} = Value_{3_{375}} / Value_{3_{64713}}$

STEP 18

Plug in the values for Value_{3_{375}} and Value_{3_{64713}} to calculate Times_{3}.
$Times_{3} =300 /3$

STEP 19

Calculate Times_{3}.
$Times_{3} =300 /3 =100$ The value of the digit7 in64,713 is.1 times the value of the digit7 in375.
The value of the digit3 in375 is100 times the value of the digit3 in64,713.

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