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Math – Review & Practice Place Value

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What are digits? Digits are the numbers… Together, they can be combined to make up all of the numbers.

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What is place value? Place value is the value given to the place a digit has in a number. For example: Look at the number 3,056. The 5 is in the ten’s place, so it’s value equals 50. You try! Look at the number 14,289. What is the value of the underlined digit? The 4 is in the thousands place, so the value is 4,000.

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What is the value of the underlined digit? 1. 14,768 2. 256,201 3. 134,783 4. 845,682 5. 614,503 6. 1,234,568,245 700 1 30,000 5,000 600,000 200,000,000

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What is a period in math? A period is a group of three digits in a number, separated by a comma. Ones PeriodThousands Period

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Get a pencil and write the numbers below in standard form. Two hundred four million, one hundred one 40,000,000 + 30,000 + 200 + 8

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Write the numbers below in expanded form. 1. One thousand, two hundred twenty-five 2. 543,031 3. Fifty billion, two hundred eight

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Write the word name for the numbers below. 1. 25, 658,012,041 Twenty-five billion, six hundred fifty- eight million, twelve thousand, forty-one 2. 237, 984.02 Two hundred thirty-seven thousand, nine hundred eighty-four and two hundredths

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Place Value Relationships

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Comparing Numbers What does it mean to compare? You are deciding which of 2 numbers is greater. Step 1: Check to see if there are the same number of digits. The first number has 5 digits. The second number has 4 digits. Step 2: If not, the number with more digits has a greater value. 5 digits > 4 digits So, 28,462 > 2,846Or, 2,846 < 28,462

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Comparing Numbers What does it mean to compare? You are deciding which of 2 numbers is greater. Step 1: Begin at the left if there are the same number of digits. Compare. Both numbers have an 8 in the thousands place. Both numbers have a 1 in the hundreds place. Step 2: Find the 1 st place the digits differ. Compare. 9 tens > 8 tens So, 8,193 > 8,186Or, 8,186 < 8,193

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You try it! Compare. 1. 456465 2. 54,19354,183 3. 125152 4. 167,465167,465

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Ordering Numbers What does it mean to order numbers? You are placing the numbers from least to greatest or greatest to least.

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Exploring Rounding 1. What does estimate mean? It means to find a number close to the exact number. 2. What does rounding mean? It means replacing a number with a number that tells about how many or how much. (Rounding is a way to estimate.)

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Round 56 to the nearest ten. 56 When I count by tens, 56 is between 50 and 60. So, my answer is either 50 or 60. 56 is closer to 60, so my answer is 60.

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Round 35 to the nearest ten. 35 When I count by tens, 35 is between 30 and 40. So, my answer is either 30 or 40. 35 is halfway to 40, so my answer is 40.

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Round 517 to the nearest hundred. 517 When I count by hundreds, 517 is between 500 and 600. So, my answer is either 500 or 600. 517 is closer to 500, so my answer is 500.

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Round 968 to the nearest hundred. 968 When I count by hundreds, 968 is between 900 and 1,000. So, my answer is either 900 or 1,000. 968 is closer to 1,000, so my answer is 1,000.

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