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8 Thousands Divided By 10

Written By Moore Theds1980 Monday, October 31, 2022 Add Comment Edit

How to multiply or divide by ten, 100, or 1000 using place value

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tin can be used to multiply or split whole numbers by ten, 100 or 1,000
When multiplying , each digit moves to the left .
When dividing , each digit moves to the right .

can be helpful when multiplying by ten, 100 and 1,000. When multiplying by a power of x (eg 10, 100, i,000) are needed to make sure that the number is written correctly.

Multiplying by 10

To multiply by 10 , each digit moves ane place to the left . Eg, units get tens.

Multiplying by 100

To multiply past 100 , each digit moves 2 places to the left . Eg, units become hundreds.

Multiplying by i,000

To multiply by 1,000 , each digit moves three places to the left . Eg, units become thousands.

Note: units are often referred to as ones. For example, 34 has 3 tens and 4 units, or we could say 34 has 3 tens and 4 ones.

Example 1: Multiplying by 10. Place value showing 26 with units, tens and a blank hundreds label. Below: 26 multiplied by 10. — Write 26 out with place value labels. To multiply 26 by ten, move each digit one place to the left.

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Place value labels showing 26 moved to the left and labelled as hundred and tens. The units label is now blank. Below: 26 multiplied by 10. — Each digit has moved one place to the left. This creates a gap in the units identify.

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Two hundred and sixty written with place value labels hundreds, tens and units. Below: 26 multiplied by 10 equals two hundred and sixty. — At that place aren't whatever units, so insert a 0 as a placeholder in the units place. 26 10 10 = 260

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Example 2: Multiplying by 100. Place value showing 18 with units, tens and blank thousands and hundreds labels. Below: 18 multiplied by one hundred. — Write eighteen out with place value labels. To multiply 18 by 100, motion each digit 2 places to the left.

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Place value labels showing 18 moved two spaces to the left and labelled as thousands and hundred. The units and tens labels are now blank. Below: 18 multiplied by one hundred. — Each digit has moved two places to the left. This creates a gap in both the tens and the units place.

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One thousand eight hundred written with place value labels thousands, hundreds, tens and units. Below: 18 multiplied by 100 equals one thousand eight hundred. — In that location aren't whatever tens or units, so insert a 0 as a placeholder in both places. 18 x 100 = 1800

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Example 3: Multiplying by one thousand. Place value showing 5 units. The tens, hundreds and thousands labels are blank. Below: 5 multiplied by one thousand. — Write 5 out with a units place value characterization. To multiply v by k, move each digit three places to the left.

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Place value labels showing 5 moved three spaces to the left and labelled as thousands. The units, tens and hundreds labels are now blank. Below: 5 multiplied by one thousand. — Each digit has moved iii places to the left. This creates a gap in the hundreds, tens and the units place.

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Five thousand written with place value labels thousands, hundreds, tens and units. Below: 5 multiplied by one thousand equals five thousand. — At that place aren't any hundreds, tens or units, and then insert a 0 as a placeholder in each place. v x grand = 5000

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Place value can be helpful when dividing by x, 100 and 1,000. Dividing by a power of x (eg 10, 100, 1,000) can atomic number 82 to a serial of zeros later the decimal signal which don't need to be recorded.

Dividing by 10

When dividing by 10 , each digit moves one place to the right . Eg, Thousands become hundreds, hundreds become tens and tens become units.

Dividing by 100

When dividing by 100 , each digit moves two places to the right . Thousands become tens, hundreds become units, and tens and units become fractions of a unit.

Dividing by 1,000

When dividing by 1,000 , each digit moves three places to the right . Thousands become units. Hundreds, tens, and units become fractions of a unit.

Example 1: Dividing by 10. Four hundred and sixty written with place value labels hundreds, tens, and units. Below: four hundred and sixty divided by 10. — Write 460 out with identify value labels. To divide 460 by 10, motility each digit one identify to the correct.

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Place value labels showing four hundred and sixty moved one space to the right and labelled as tens, units and tenths to become forty six point zero. The hundreds labels is now blank. Below: four hundred and sixty divided by 10. — Each digit has moved one place to the right. This makes 46.0

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Forty-six written with place value labels tens and units. The hundreds labels is now blank. Below: four hundred and sixty divided by 10 equals forty-six. — 46.0 is the same every bit 46, and so remove the zero and decimal point. 460 ÷ 10 = 46

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Example 2: Dividing by one hundred. Three thousand seven hundred written with place value labels thousands, hundreds, tens and units. Below: Three thousand seven hundred divided by one hundred. — Write 3,700 out with place value labels. To divide 3,700 past 100, move each digit two places to the correct.

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Place value labels showing three thousand seven hundred moved to the right and labelled as tens, units, tenths and hundredths to become thirty seven point zero zero. The thousands and hundreds labels are now blank. Below: Three thousand seven hundred divided by one hundred. — Each digit has moved two places to the right. This is 37.00

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Place value showing thirty-seven with units, tens and hundreds and thousands labels blank. Below: Three thousand seven hundred divided by one hundred equals thirty-seven. — 37.00 is the aforementioned as 37, and then remove the zeros and decimal point. three,700 ÷ 100 = 37

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Example 3: Dividing by one thousand. Seven thousand written with place value labels thousands, hundreds, tens and units. Below: Seven thousand divided by one thousand. — Write 7,000 out with place value labels. To separate vii,000 by i,000, motion each digit three places to the right.

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Place value labels showing seven thousand moved three spaces to the right and labelled as units, tenths, hundredths and thousandths to become seven point zero zero zero. The thousands, hundreds and tens labels are now blank. Below: Seven thousand divided by one thousand. — Each digit has moved three places to the correct. This is 7.000

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Place value showing 7 with units, tens and hundreds and thousands labels blank. Below: Seven thousand divided by one thousand equals 7. — 7.000 is the same as 7, so remove the zero and decimal point. vii,000 ÷ ane,000 = 7

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Practice what you've learned about multiplying and dividing past x, 100 and 1,000 with this quiz.

People may use multiplying or dividing by x, 100 or ane,000 to work out the cost of different items.

Expensive items are not always paid for in full. Sometimes they are paid for in a number of instalments. For case, a games console costs £450.

A person may desire to split up their payment over 10 months to make it more affordable. They would demand to be able to dissever £450 by 10 to calculate the monthly payments.

A shop possessor may use this method to summate profits. For example, they know that they make £2 profit for each box of chocolates they sell. If they sell 100 boxes in a month, they need to multiply by 100. 100 ten £2 = £200 profit.

Expensive items like games consoles can be paid for in a number of instalments.

8 Thousands Divided By 10,

Source: https://www.bbc.co.uk/bitesize/topics/zc3d7ty/articles/zmk72v4

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