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3 years ago

How many times larger is the 7 in the number 7042 than the 7 in the number 427?

Mathematics

1 answer:

e-lub [12.9K]3 years ago

6 0

Answer:

1000

Step-by-step explanation:

To find the value of a digit in a number, set all the other digits to zero.

The value of 7 in 7042 is 7000.

The value of 7 in 427 is 007 = 7.

Then the question is "how many times larger is 7000 than 7?" That result is found by dividing 7000 by 7:

7000/7 = 1000

The 7 in 7042 is 1000 times larger than the 7 in 427.

_____

<em>Another way to consider this</em>

The 7 in 7042 is in the "thousands" place. The 7 in 427 is in the "ones" place. The thousands place is 3 places to the left of the ones place. Each place moved to the left increases the value by a factor of 10, so the value of a digit in the thousands place is 10×10×10 = 1000 times that of the same digit in the ones place.

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Converting a negative exponent to a positive one: $x^{-m}=\frac{1}{x^m}\ \textsf{and}\ \frac{1}{x^{-m}}=x^m$

Firstly, solve the outside exponent:

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For this, convert all negative exponents into positive ones:

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3 years ago

How do you do...<br> cos2x-sin2x=1-2sin2x

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3 years ago

Find the value of s if 57+s=68

olga2289 [7]

Answer

s = 11

Step-by-step explanation:

Find the value of S:

57 + s = 68

Substract 57 from both sides of the equation

s = 68 - 57

s = 11

6 0

3 years ago

Read 2 more answers

a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the numb

bogdanovich [222]

· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.

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3 years ago

How do you solve 6=3+5(y-2)

Harlamova29_29 [7]

Answer:

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Step-by-step explanation:

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2 years ago