QuestionFind a number where the digit 7 is worth 10 times more than in 0.975. Choose from: (A) 8.457, (B) 7.99, (C) 0.73, (D) 676.9.

Studdy Solution

STEP 1

Assumptions1. We are looking for a number where the digit7 has a value that is10 times as great as the digit7 in the number0.975. . The value of a digit in a number depends on its position in the number.

STEP 2

First, we need to find the value of the digit7 in the number0.975. The value of a digit in a decimal number is determined by its position. In this case,7 is in the hundredths place.
$Value\, of\,7\, in\,0.975 =7 \\times0.01$

STEP 3

Calculate the value of the digit7 in the number0.975.
$Value\, of\,7\, in\,0.975 =7 \\times0.01 =0.07$

STEP 4

Now, we need to find a number where the value of the digit7 is10 times as great as0.07. $Required\, value\, of\,7 =10 \\times Value\, of\,7\, in\,0.975 =10 \\times0.07$

STEP 5

Calculate the required value of the digit7.
$Required\, value\, of\,7 =10 \\times0.07 =0.7$

STEP 6

Now, we need to find a number from the given options where the digit has a value of0.. This means that must be in the tenths place.

STEP 7

Check each option to see if the digit7 is in the tenths place.
(A).457 - The digit7 is in the thousandths place. (B)7.99 - The digit7 is in the ones place. (C)0.73 - The digit7 is in the tenths place. (D)676.9 - The digit7 is in the hundreds place.
From the above, we can see that only option (C)0.73 has the digit7 in the tenths place.
So, the number in which the digit7 has a value that is10 times as great as the digit7 in the number0.975 is0.73.

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QuestionFind a number where the digit 7 is worth 10 times more than in 0.975. Choose from: (A) 8.457, (B) 7.99, (C) 0.73, (D) 676.9.

Studdy Solution

STEP 1

Assumptions1. We are looking for a number where the digit7 has a value that is10 times as great as the digit7 in the number0.975. . The value of a digit in a number depends on its position in the number.

STEP 2

First, we need to find the value of the digit7 in the number0.975. The value of a digit in a decimal number is determined by its position. In this case,7 is in the hundredths place.
$Value\, of\,7\, in\,0.975 =7 \\times0.01$

STEP 3

Calculate the value of the digit7 in the number0.975.
$Value\, of\,7\, in\,0.975 =7 \\times0.01 =0.07$

STEP 4

Now, we need to find a number where the value of the digit7 is10 times as great as0.07. $Required\, value\, of\,7 =10 \\times Value\, of\,7\, in\,0.975 =10 \\times0.07$

STEP 5

Calculate the required value of the digit7.
$Required\, value\, of\,7 =10 \\times0.07 =0.7$

STEP 6

Now, we need to find a number from the given options where the digit has a value of0.. This means that must be in the tenths place.

STEP 7

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QuestionFind a number where the digit 7 is worth 10 times more than in 0.975. Choose from: (A) 8.457, (B) 7.99, (C) 0.73, (D) 676.9.

Studdy Solution

STEP 1

Assumptions1. We are looking for a number where the digit7 has a value that is10 times as great as the digit7 in the number0.975. . The value of a digit in a number depends on its position in the number.

STEP 2

First, we need to find the value of the digit7 in the number0.975. The value of a digit in a decimal number is determined by its position. In this case,7 is in the hundredths place.Value of 7 in 0.975=7times0.01Value\, of\,7\, in\,0.975 =7 \\times0.01Valueof7in0.975=7times0.01

STEP 3

Calculate the value of the digit7 in the number0.975.Value of 7 in 0.975=7times0.01=0.07Value\, of\,7\, in\,0.975 =7 \\times0.01 =0.07Valueof7in0.975=7times0.01=0.07

STEP 4

Now, we need to find a number where the value of the digit7 is10 times as great as0.07.Required value of 7=10timesValue of 7 in 0.975=10times0.07Required\, value\, of\,7 =10 \\times Value\, of\,7\, in\,0.975 =10 \\times0.07Requiredvalueof7=10timesValueof7in0.975=10times0.07

STEP 5

Calculate the required value of the digit7.Required value of 7=10times0.07=0.7Required\, value\, of\,7 =10 \\times0.07 =0.7Requiredvalueof7=10times0.07=0.7

STEP 6

Now, we need to find a number from the given options where the digit has a value of0.. This means that must be in the tenths place.

STEP 7

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

First, we need to find the value of the digit7 in the number0.975. The value of a digit in a decimal number is determined by its position. In this case,7 is in the hundredths place.
$Value\, of\,7\, in\,0.975 =7 \\times0.01$

Calculate the value of the digit7 in the number0.975.
$Value\, of\,7\, in\,0.975 =7 \\times0.01 =0.07$

Now, we need to find a number where the value of the digit7 is10 times as great as0.07. $Required\, value\, of\,7 =10 \\times Value\, of\,7\, in\,0.975 =10 \\times0.07$

Calculate the required value of the digit7.
$Required\, value\, of\,7 =10 \\times0.07 =0.7$