Pre-Algebra : Other Pre-Algebra Properties

Study concepts, example questions & explanations for Pre-Algebra

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Example Questions

Example Question #11 : Other Pre Algebra Properties

What digit is in the tenths place? 

\(\displaystyle 645.912\)

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 5\)

\(\displaystyle 6\)

\(\displaystyle 1\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 9\)

Explanation:

The tenths place is always the first digit to the right of the decimal point. 

Example Question #431 : Number & Operations In Base Ten

What is \(\displaystyle 78.1763\) rounded to the thousandths place? 

Possible Answers:

\(\displaystyle 78.17\)

\(\displaystyle 78.18\)

\(\displaystyle 78.1753\)

\(\displaystyle 78.175\)

\(\displaystyle 78.176\)

Correct answer:

\(\displaystyle 78.176\)

Explanation:

When we round a number to the thousandths place, we look to the ten thousandths place (the digit directly to the right of the thousandths place) to tell us if we round up or down. 

In this case, our ten thousandths place is \(\displaystyle 3\), which tells us to round down. Remember, \(\displaystyle 0-4\) means round down, \(\displaystyle 5-9\) means round up. 

The \(\displaystyle 6\) is in the thousandths place, so that stays \(\displaystyle 6\) and we get rid of all of the numbers to the right of the thousandths place. Our rounded number becomes \(\displaystyle 78.176\)

Example Question #622 : Identifying Place Value

What is \(\displaystyle 56.7894\) rounded to the nearest thoundsandths? 

Possible Answers:

\(\displaystyle 56.7893\)

\(\displaystyle 56.789\)

\(\displaystyle 56.7\)

\(\displaystyle 56\)

\(\displaystyle 56.78\)

Correct answer:

\(\displaystyle 56.789\)

Explanation:

When we round a number to the thousanths place, we look to the ten thousandths place (the digit directly to the right of the tousandths place) to tell us if we round up or down. 

In this case, our ten thousanths place is \(\displaystyle 4\), which tells us to round down. Remember, \(\displaystyle 0-4\) means round down, \(\displaystyle 5-9\) means round up. 

The \(\displaystyle 9\) is in the thousandths place, so that stays at \(\displaystyle 9\) and we get rid of all of the numbers to the right of the thousandths place. Our rounded number becomes \(\displaystyle 56.789\)

Example Question #441 : Number & Operations In Base Ten

What is \(\displaystyle 987.631\) rounded to the nearest tenths? 

Possible Answers:

\(\displaystyle 987.7\)

\(\displaystyle 987.6\)

\(\displaystyle 987.5\)

\(\displaystyle 987\)

\(\displaystyle 987.63\)

Correct answer:

\(\displaystyle 987.6\)

Explanation:

When we round a number to the tenths place, we look to the hundredths place (the digit directly to the right of the tenths place) to tell us if we round up or down. 

In this case, our hundredths place is \(\displaystyle 3\), which tells us to round down. Remember, \(\displaystyle 0-4\) means round down, \(\displaystyle 5-9\) means round up. 

The \(\displaystyle 6\) is in the tenths place, so we leave that as a \(\displaystyle 6\) and get rid of all of the numbers to the right of the tenths place. Our rounded number becomes \(\displaystyle 987.6\)

Example Question #624 : Identifying Place Value

What is \(\displaystyle 23.167\) rounded to the nearest hundredths? 

Possible Answers:

\(\displaystyle 23\)

\(\displaystyle 23.17\)

\(\displaystyle 23.16\)

\(\displaystyle 23\)

\(\displaystyle 24\)

Correct answer:

\(\displaystyle 23.17\)

Explanation:

When we round a number to the hundredths place, we look to the thousandths place (the digit directly to the right of the hundredths place) to tell us if we round up or down. 

In this case, our thousandths place is \(\displaystyle 7\), which tells us to round up. Remember, \(\displaystyle 0-4\) means round down, \(\displaystyle 5-9\) means round up. 

The \(\displaystyle 6\) is in the hundredths place, so we round that up to \(\displaystyle 7\) and get rid of all of the numbers to the right of the hundredths place. Our rounded number becomes \(\displaystyle 23.17\)

Example Question #625 : Identifying Place Value

What is \(\displaystyle 45.7875\) rounded to the nearest thousandths? 

Possible Answers:

\(\displaystyle 45.79\)

\(\displaystyle 45.787\)

\(\displaystyle 45.788\)

\(\displaystyle 45.8\)

\(\displaystyle 45.7885\)

Correct answer:

\(\displaystyle 45.788\)

Explanation:

When we round a number to the thousandths place, we look to the ten thousandths place (the digit directly to the right of the thousandths place) to tell us if we round up or down. 

In this case, our ten thousandths place is \(\displaystyle 5\), which tells us to round up. Remember, \(\displaystyle 0-4\) means round down, \(\displaystyle 5-9\) means round up. 

The \(\displaystyle 7\) is in the thousandths place, so we round that up to \(\displaystyle 8\) and we get rid of all of the numbers to the right of the thousandths place. Our rounded number becomes \(\displaystyle 45.788\)

Example Question #2 : Round Decimals: Ccss.Math.Content.5.Nbt.A.4

What is \(\displaystyle 734.7239\) rounded to the nearest thousandths? 

Possible Answers:

\(\displaystyle 734.723\)

\(\displaystyle 734.724\)

\(\displaystyle 734.72\)

\(\displaystyle 734.8\)

\(\displaystyle 734.7249\)

Correct answer:

\(\displaystyle 734.724\)

Explanation:

When we round a number to the thousandths place, we look to the ten thousandths place (the digit directly to the right of the thousandths place) to tell us if we round upfor down. 

In this case, our ten thousandths place is \(\displaystyle 9\), which tells us to round up. Remember, \(\displaystyle 0-4\) means round down, \(\displaystyle 5-9\) means round up. 

The \(\displaystyle 3\) is in the thousandths place, so we round that up to \(\displaystyle 4\) and we get rid of all of the numbers to the right of the thousandths place. Our rounded number becomes \(\displaystyle 734.724\)

Example Question #442 : Number & Operations In Base Ten

What is \(\displaystyle 167.981\) rounded to the nearest hundredths?

Possible Answers:

\(\displaystyle 167.971\)

\(\displaystyle 167.98\)

\(\displaystyle 167.97\)

\(\displaystyle 167.9\)

\(\displaystyle 167.99\)

Correct answer:

\(\displaystyle 167.98\)

Explanation:

When we round a number to the hundredths place, we look to the thousandths place (the digit directly to the right of the hundredths place) to tell us if we round up or down. 

In this case, our thousandths place is \(\displaystyle 1\), which tells us to round down. Remember, \(\displaystyle 0-4\) means round down, \(\displaystyle 5-9\) means round up. 

The \(\displaystyle 8\) is in the hundredths place, so that stays \(\displaystyle 8\) and we get rid of all of the numbers to the right of the hundredths place. Our rounded number becomes \(\displaystyle 167.98\)

Example Question #443 : Number & Operations In Base Ten

What is \(\displaystyle 4.579\)rounded to the nearest hundredths? 

Possible Answers:

\(\displaystyle 4.5\)

\(\displaystyle 4.6\)

\(\displaystyle 4.57\)

\(\displaystyle 4.589\)

\(\displaystyle 4.58\)

Correct answer:

\(\displaystyle 4.58\)

Explanation:

When we round a number to the hundreths place, we look to the thousandths place (the digit directly to the right of the hundredths place) to tell us if we round up or down. 

In this case, our thousandths place is \(\displaystyle 9\), which tells us to round up. Remember, \(\displaystyle 0-4\) means round down, \(\displaystyle 5-9\) means round up. 

The \(\displaystyle 7\) is in the hundredths place, so we round that up to \(\displaystyle 8\) and get rid of all of the numbers to the right of the hundredths place. Our rounded number becomes \(\displaystyle 4.58\)

Example Question #624 : Common Core Math: Grade 5

What is \(\displaystyle 98.379\) rounded to the nearest tenths?

Possible Answers:

\(\displaystyle 98.3\)

\(\displaystyle 98.38\)

\(\displaystyle 98.37\)

\(\displaystyle 98\)

\(\displaystyle 98.4\)

Correct answer:

\(\displaystyle 98.4\)

Explanation:

When we round a number to the tenths place, we look to the hundreths place (the digit directly to the right of the tenths place) to tell us if we round up for down. 

In this case, our hundreths place is \(\displaystyle 7\), which tells us to round up. Remember, \(\displaystyle 0-4\) means round down, \(\displaystyle 5-9\) means round up. 

The \(\displaystyle 3\) is in the tenths place, so we round that up to \(\displaystyle 4\) and get rid of all of the numbers to the right of the tenths place. Our rounded number becomes \(\displaystyle 98.4\)

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