Decimal Place Values 1
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Question 1 of 5
1. Question
Convert to expanded form`14.305`Hint
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The expanded form of a decimal is the sum of its digits multiplied to their place values and are separated by parentheses.`\text(Place Values)` Hundreds Tens Units `.` Tenths Hundredths Thousandths `100` `10` `1` `.` `1/10` `1/100` `1/1000` Match the given values to the corresponding place values in the table.`14.305``\text(Place Values)` Tens Units `.` Tenths Hundredths Thousandths `10` `1` `.` `1/10` `1/100` `1/1000` `1` `4` `.` `3` `0` `5` Next, multiply the corresponding digits to their place values, starting from the left side, and get their sum.Each product should be separated by a parenthesis`\text(Tens)``=1xx10``\text(Units)``=4xx1``\text(Tenths)``=3xx1/10``\text(Hundredths)``=0xx1/100=0``\text(Thousandths)``=5xx1/1000``14.305` `=` `(1xx10)+(4xx1)+(3xx1/10)+(5xx1/1000)` `(1xx10)+(4xx1)+(3xx1/10)+(5xx1/1000)` -
Question 2 of 5
2. Question
Convert to expanded form`401.521`Hint
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The expanded form of a decimal is the sum of its digits multiplied to their place values and are separated by parentheses.`\text(Place Values)` Hundreds Tens Units `.` Tenths Hundredths Thousandths `100` `10` `1` `.` `1/10` `1/100` `1/1000` Match the given values to the corresponding place values in the table.`401.521``\text(Place Values)` Hundreds Tens Units `.` Tenths Hundredths Thousandths `100` `10` `1` `.` `1/10` `1/100` `1/1000` `4` `0` `1` `.` `5` `2` `1` Next, multiply the corresponding digits to their place values, starting from the left side, and get their sum.Each product should be separated by a parenthesis`\text(Hundreds)``=4xx100``\text(Tens)``=0xx10=0``\text(Units)``=1xx1``\text(Tenths)``=5xx1/10``\text(Hundredths)``=2xx1/100``\text(Thousandths)``=1xx1/1000``401.521` `=` `(4xx100)+(1xx1)+(5xx1/10)+(2xx1/100)+(1xx1/1000)` `(4xx100)+(1xx1)+(5xx1/10)+(2xx1/100)+(1xx1/1000)` -
Question 3 of 5
3. Question
Convert to a decimal`73+2/10+9/1000`- (73.209)
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To convert from expanded form to decimal form, use a table of place values to match the given values to their corresponding place value`\text(Place Values)` Hundreds Tens Units `.` Tenths Hundredths Thousandths `100` `10` `1` `.` `1/10` `1/100` `1/1000` Match the given values to the corresponding place values in the table.If there is no corresponding digit for a place value, write `0`.`7``3``+``2/10``+``9/1000`Tens Units `.` Tenths Hundredths Thousandths `10` `1` `.` `1/10` `1/100` `1/1000` `7` `3` `.` `2` `0` `9` `=` `73.209` Checking:A way to check is to list all place values and add them together`\text(Tens)=70``\text(Units)=3``\text(Tenths)=0.2``\text(Thousandths)=0.009``7` `0` `.` `0` `0` `0` `+` `3` `.` `0` `0` `0` `+` `0` `.` `2` `0` `0` `+` `0` `.` `0` `0` `9` `7` `3` `.` `2` `0` `9` Since the answers match, the decimal form is correct.`73.209` -
Question 4 of 5
4. Question
Find the value of the underlined digit$$\underline{8}5.204$$- (80)
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To identify the place value of a digit, match the given value to its corresponding place value`\text(Place Values)` Hundreds Tens Units `.` Tenths Hundredths Thousandths `100` `10` `1` `.` `1/10` `1/100` `1/1000` Match the given values to the corresponding place values in the table.$$\color{#00880a}{\underline8}5.204$$Tens Units `.` Tenths Hundredths Thousandths `10` `1` `.` `1/10` `1/100` `1/1000` `8` `5` `.` `2` `0` `4` Next, multiply `8` to its corresponding place value, which is tens (`10`).`8``xx``10` `=` `80` The place value of `8` in `85.204` is `80`.`80` -
Question 5 of 5
5. Question
Find the value of the underlined digit$$2\underline{3}.125$$- (3)
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To identify the place value of a digit, match the given value to its corresponding place value`\text(Place Values)` Hundreds Tens Units `.` Tenths Hundredths Thousandths `100` `10` `1` `.` `1/10` `1/100` `1/1000` Match the given values to the corresponding place values in the table.$$2\color{#00880a}{\underline3}.125$$Tens Units `.` Tenths Hundredths Thousandths `10` `1` `.` `1/10` `1/100` `1/1000` `2` `3` `.` `1` `2` `5` Next, multiply `3` to its corresponding place value, which is units (`1`).`3``xx``1` `=` `3` The place value of `3` in `23.125` is `3`.`3`
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