In 7,442 (seven thousand four hundred forty two), swap the digits at hundreds and tens place and form a new…

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In 7,442 (seven thousand four hundred forty two), swap the digits at hundreds and tens place and form a new number

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1. In 7,442 (seven thousand four hundred forty-two), swap the digits at hundreds and tens place and form a new number.

Identify the hundreds digit and tens digit in 7,442.
The hundreds digit is 4, and the tens digit is 4.
Swap the digits.
Since both digits are the same, swapping them results in no change.
$\text{The new number is } \boxed{7442}$
2. I am a 4-digit number whose thousands and hundreds digit are odd numbers. My units and tens digits are equal and smaller than 1 - write my sum values.
The units and tens digits are equal and smaller than 1.
The only digit smaller than 1 is 0. So, the units digit is 0 and the tens digit is 0.
The thousands digit and hundreds digit are odd numbers.
The odd digits are 1, 3, 5, 7, 9.
The smallest possible sum of digits occurs when the thousands and hundreds digits are both 1
$1+1+0+0 = 2$ .
The largest possible sum of digits occurs when the thousands and hundreds digits are both 9
$9+9+0+0 = 18$ .
$\text{The possible sum values for the digits range from } \boxed{2 \text{ to } 18}$
3. I am a 5-digit number, all my digits are consecutive, give all my possible values.
Identify sequences of 5 consecutive digits.
These can be in ascending or descending order.
Form 5-digit numbers using these sequences, ensuring the first digit is not zero.
$\boxed{12345, 23456, 34567, 45678, 56789, 98765, 87654, 76543, 65432, 54321}$
4. I am the largest 4-digit number that comes in the tables of 2, 4 and 8. What is my value?
A number that comes in the tables of 2, 4, and 8 is divisible by 8.
We need the largest 4-digit number divisible by 8.
The largest 4-digit number is 9999.
Divide 9999 by 8
$9999 \div 8 = 1249$ with a remainder of 7.
Subtract the remainder from 9999 to find the largest 4-digit number divisible by 8.
$9999 - 7 = \boxed{9992}$
5. I am a 5-digit number in which all digits are equal and I come in the table of 5.
If all digits are equal, the number has the form AAAAA.
For a number to be divisible by 5, its units digit must be 0 or 5.
Since all digits are equal, A must be 0 or 5.
A 5-digit number cannot start with 0, so A must be 5.
$\text{The number is } \boxed{55555}$
6. A 4-digit number in which 5 is at thousands place, 4 at tens place, 3 at hundreds place and 0 at units place.
Place the digits according to their specified positions.
Thousands: 5, Hundreds: 3, Tens: 4, Units: 0.
$\text{The number is } \boxed{5340}$
7. A 5-digit number in which 9 is at thousands, 4 at units, 7 at tens, 0 at hundreds, and the sum of all digits is 21.
Let the 5-digit number be ABCDE.
Fill in the known digits:
Thousands (B) = 9, Units (E) = 4, Tens (D) = 7, Hundreds (C) = 0.
The number is A9074.
The sum of all digits is 21.
$A + 9 + 0 + 7 + 4 = 21$ $A + 20 = 21$ $A = 21 - 20$ $A = 1$ $\text{The number is } \boxed{19074}$
8. Write in words a number in which 7 is at hundreds, 6 at thousands, 5 at tens and 0 at units.
Assemble the digits to form the number.
Thousands: 6, Hundreds: 7, Tens: 5, Units: 0.
The number is 6750.
Write the number in words.
$\boxed{\text{Six thousand seven hundred fifty}}$
9. Write a number in which the thousands digit is double the tens digit, hundreds is triple its units, and units and tens digits are equal.
Let the units digit be $x$ .
Since units and tens digits are equal, the tens digit is also $x$ .
The thousands digit is double the tens digit
$2x$.
The hundreds digit is triple the units digit
$3x$.
All digits must be single digits (0-9).
If $x=1$ : Units=1, Tens=1, Thousands=2, Hundreds=3. The number is 2311.
If $x=2$ : Units=2, Tens=2, Thousands=4, Hundreds=6. The number is 4622.
If $x=3$ : Units=3, Tens=3, Thousands=6, Hundreds=9. The number is 6933.
If $x=4$ : Hundreds digit would be $3 \times 4 = 12$ , which is not a single digit. So $x$ cannot be 4 or greater.
$\text{One possible number is } \boxed{2311}$
10. Write numbers as directed.
- 10 (i) Four numbers greater than 9504.
  $\boxed{9505, 9506, 9507, 9508}$
- 10 (ii) Four numbers smaller than 7082.
  $\boxed{7081, 7080, 7079, 7078}$
- 10 (iii) Write four such numbers in which the digit in the tens place is 5 and all the other digits are different.
  $\boxed{1052, 3456, 7859, 2150}$
- 10 (iv) Write four numbers with 8 on tens place number less than 7000.
  $\boxed{1080, 2183, 5487, 6981}$
- 10 (v) Write four numbers with 6 on hundreds place and number greater than 2500.
  $\boxed{2600, 3610, 4620, 5630}$
- 10 (vi) Write four numbers with hundreds digit 3, number greater than 2500 and less than 9500.
  $\boxed{3300, 4310, 5320, 6330}$

In 7,442 (seven thousand four hundred forty two), swap the digits at hundreds and tens place and form a new number

Step-by-step solution

Identify the hundreds digit and tens digit in 7,442.

Swap the digits.

The units and tens digits are equal and smaller than 1.

The thousands digit and hundreds digit are odd numbers.

The smallest possible sum of digits occurs when the thousands and hundreds digits are both 1

The largest possible sum of digits occurs when the thousands and hundreds digits are both 9

Identify sequences of 5 consecutive digits.

Form 5-digit numbers using these sequences, ensuring the first digit is not zero.

A number that comes in the tables of 2, 4, and 8 is divisible by 8.

The largest 4-digit number is 9999.

Divide 9999 by 8

Subtract the remainder from 9999 to find the largest 4-digit number divisible by 8.

If all digits are equal, the number has the form AAAAA.

For a number to be divisible by 5, its units digit must be 0 or 5.

Since all digits are equal, A must be 0 or 5.

Place the digits according to their specified positions.

Let the 5-digit number be ABCDE.

The sum of all digits is 21.

Assemble the digits to form the number.

Write the number in words.

Let the units digit be $x$ .

The thousands digit is double the tens digit

The hundreds digit is triple the units digit

All digits must be single digits (0-9).

Still stuck on this one?

More Mathematics Questions

In 7,442 (seven thousand four hundred forty two), swap the digits at hundreds and tens place and form a new number

Step-by-step solution

Identify the hundreds digit and tens digit in 7,442.

Swap the digits.

The units and tens digits are equal and smaller than 1.

The thousands digit and hundreds digit are odd numbers.

The smallest possible sum of digits occurs when the thousands and hundreds digits are both 1

The largest possible sum of digits occurs when the thousands and hundreds digits are both 9

Identify sequences of 5 consecutive digits.

Form 5-digit numbers using these sequences, ensuring the first digit is not zero.

A number that comes in the tables of 2, 4, and 8 is divisible by 8.

The largest 4-digit number is 9999.

Divide 9999 by 8

Subtract the remainder from 9999 to find the largest 4-digit number divisible by 8.

If all digits are equal, the number has the form AAAAA.

For a number to be divisible by 5, its units digit must be 0 or 5.

Since all digits are equal, A must be 0 or 5.

Place the digits according to their specified positions.

Let the 5-digit number be ABCDE.

The sum of all digits is 21.

Assemble the digits to form the number.

Write the number in words.

Let the units digit be xxx.

The thousands digit is double the tens digit

The hundreds digit is triple the units digit

All digits must be single digits (0-9).

Still stuck on this one?

More Mathematics Questions

Let the units digit be $x$ .