When a 3 digit number is rounded to the nearest ten and to the nearest hundred, the answer is the same. What is one possible number that fits this rule?

Answers

Answer 1
Answer:

The one possible number that fits this rule is 495

Step-by-step explanation:

Let us revise how we can round a number

1. When we round a number to the nearest ten we look to the one

digit if its 5 or greater than 5 we add the ten digit by 1 and put the

one digit 0, if the one digit less than 5 we keep the ten digit as it

and put the ones digit 0

2. When we round a number to the nearest hundred we look to the

ten digit if its 5 or greater than 5 we add the hundred digit by 1 and

put the ten and one digits 0, if the ten digit less than 5 we keep the

hundred digit as it and put the ten and one digits 0

Examples:

If 256 rounded to the nearest ten, then it will be 260

and if rounded to the nearest hundred, then it will be 300

If 543 rounded to the nearest ten, then it will be 540

and if rounded to the nearest hundred, then it will be 500

Now let us solve the problem

We are looking for 3 digit number when rounded to the nearest ten

and to the nearest hundred give the same answer

∴ Its unit digit must be 5 or greater than 5 to add ten digit by 1

∴ Its ten digit must be 9 because when we add 9 by 1 it will be 10

  and that mean the hundred digit will added by 1

- If The number is 495

∵ Its unit digit is 5

∴ When we round it to the nearest ten we will add the ten digit 9 by 1

∴ The ten digit will be 10 then we will add hundred digit by 1

∴ The hundred digit is 5 , ten digit is 0 and we will put the one digit 0

∴ The number after rounded to the nearest ten is 500

∵ When we round it to the nearest hundred we will look to the ten digit

∵ Its ten digit is 9

∴ We will add the hundred digit 4 by 1 and put the ten and one digits 0

∴ The number after rounded to the nearest hundred is 500

The one possible number that fits this rule is 495

Learn more:

You can learn more about rounding to significant figure in brainly.com/question/12445529

#LearnwithBrainly


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Answers

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Explain how knowing 50 times 4 =200 helps you find 500 times 400.

Answers

Given -

50 times 4 =200

Find out the  values of 500 times 400.

To prove

As given in the question

50 times 4 =200

i.e the above also written in the form as follows.

50 × 4 = 200

Now find out for 500 times 400.

500 times 400 is also written in the form as follows .

500 × 400 = 200000

Therefore the 500 times 400 is 200000.

Hence proved



To find 500 times 400 from 50 times 4 =200 : usecommutative, associative properties and place value

500 times 400 \large{\boxed{\bold{=200000}}}

Further explanation

There are 3 properties in arithmetic operations that can be applied to arithmetic operations, namely: commutative, associative , and distributive properties

Commutative properties are mathematical operations of two numbers that are exchanged and produce the same results

a + b = b + a = c

a x b = b x a = c

this property applies to addition and multiplication operations.

Associative properties are mathematical operations of 3 numbers by grouping 2 numbers with parentheses and the location of the grouping is exchanged with the result that remains the same

(a + b) + c = a + (b + c) = d

(a × b) × c = a × (b × c) = d

Distributive properties are mathematical operations with 2 different arithmetic operations, by distributing numbers grouped in parentheses.

a × (b + c) = (a × b) + (a × c) = d

In the digit system, the value of a number depends on its place, or position, in the number.

Each digit is different place value.

the place value of the digits in a number: hundred thousands, ten thousands, one thousands, hundreds, tens, ones, decimal points, tenths, hundredths, thousandths, ten thousandths, hundred thousandths

From the task:

use the previous problem (50 times 4 = 200) to help solve 500 times 400.

50 times 4 = 200

in the form of arithmetic operations

50 x 4 = 200

or in place value

5 tens x 4 ones = 2 hundreds

we can use associative and commutative properties

(5*10)*4=200

(5*4)*10=200

=20*10=200

so multiplication can be expressed in an interchangeable form because it has the same value

So to complete 500 x 400:

multiplying the whole numbers first then the zeros

The difference between first number operations and second number operations is the place value unit

 500 x 400

= 5 hundreds x 4 hundreds

= 5 x100 x 4 x 100 (there are 4 times ​​of 10)

= (5 x 4 x 10) x 10 x 10 x 10

(5 x 4 x 10) = from previous problem

= 200 x 10 x 10 x 10

\large{\boxed{\bold{=200000}}}

Learn more

the place value: 12,354,897

brainly.com/question/559183

brainly.com/question/840500

place-value patterns

brainly.com/question/98364

Keywords : place value, digit, number, times , commutative, associative

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Answers

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Answers

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before a race,you start 4 5/8 behind your friend . At the halfway point,you are 3 2/3 feet ahead of your friend. What is the change in distance between you and your friend from beginning of the race?

Answers

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Step-by-step explanation:

Given

At the beginning of race you start4(5)/(8) behind your friend .

At the halfway point, you are  3(2)/(3) feet ahead of your friend.

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Answers

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