PLACE VALUE The Value of a Number One

PLACE VALUE The Value of a Number © One Stop Teacher Shop

The Value of a Digit The value of a digit is based on where it is placed within a number. Thousandths Hundredths Tenths Ones Tens Hundreds Thousands Ten-Thousands Hundred-thousands Millions For Example: 8, 1 4 3, 1 2 9 3 1 8 Look at the placement of the 1 in this number. Which 1 has the greatest value? If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit The 1 furthest to the left is greater than the 1 furthest to the right. Thousandths Hundredths Tenths Ones Tens Hundreds Thousands Ten-Thousands Hundred-thousands Millions Which would you rather have? $100, 000 or $0. 01 8, 1 4 3, 1 2 9 3 1 8 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the left, the value of the digit is 10 times greater. LOOK… 1 1 x 10 = If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the left, the value of the digit is 10 times greater. LOOK… 10 10 x 10 = If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the left, the value of the digit is 10 times greater. LOOK… 100 x 10 = If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the left, the value of the digit is 10 times greater. LOOK… 1, 000 x 10 = If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the left, the value of the digit is 10 times greater. LOOK… 10, 000 x 10 = If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the left, the value of the digit is 10 times greater. LOOK… 100, 000 x 10 = If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the left, the value of the digit is 10 times greater. LOOK… 1, 000 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before. LOOK… see what ’s t le w o N ove a m when we s n e p p a h he right. t o t r e b num 1, 000, 000 ÷ 10 = If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before. LOOK… 100, 000 ÷ 10 = If thegorilla pink gorilla watermelon every night, how much watermelons does he he eat? If the pink eats watermelon every night, watermelons does © One Stop Teacher Shop © One Teacher

The Value of a Digit When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before. LOOK… 10, 000 ÷ 10 = If thegorilla pink gorilla watermelon every night, how much watermelons does he he eat? If the pink eats watermelon every night, watermelons does © One Stop Teacher Shop © One Teacher

The Value of a Digit When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before. LOOK… 1, 000 ÷ 10 = If thegorilla pink gorilla watermelon every night, how much watermelons does he he eat? If the pink eats watermelon every night, watermelons does © One Stop Teacher Shop © One Teacher

The Value of a Digit When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before. LOOK… 100 ÷ 10 = If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before. LOOK… 10 10 ÷ 10 = If the pink gorilla eats watermelon every night, how much watermelons does he eat? If the pink gorilla eats watermelon every night, how © One Stop Teacher Shop

The Value of a Digit When we move a digit in a number one place to the right, the value of the digit is 1/10 less than before. LOOK… 1 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Let’s Practice Use what you just learned to answer the following questions. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit How does the tens place value compare to the ones place value? Answer: The tens place value is 10 times greater than the ones place value. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit How does the thousands place value compare to the tenthousands place value? Answer: The thousands place value is 1/10 of the value of the tenthousands place value. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Compare 1, 000 to 100, 000. Answer: 1, 000 is 10 times greater than 100, 000. If the pink gorilla eats watermelon every night, how much watermelons does he eat? If the pink gorilla eats watermelon every night, how © One Stop Teacher Shop

The Value of a Digit Compare 5, 000 to 50, 000 Answer: 5, 000 is 1/10 of the value of 50, 000. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

Now let’s look at the value of each digit in a number. If the pink gorilla eats watermelon every night, how much watermelons does he eat? If the pink gorilla eats watermelon every night, how © One Stop Teacher Shop

The Value of a Digit 4, 238, 192 We can represent the value of each digit by multiplying the digit by its place value. 2 x 1=2 2 is e h t e s u a Bec 9 x 10 = 90 s e n o e h t in , we e u l a v e c a pl 1 x 100 = 100. 1 y b t i y multipl 8 x 1, 000 = 8, 000 3 x 10, 000 = 30, 000 2 x 100, 000 = 200, 000 4 x 1, 000 = 4, 000 If thegorilla pink gorilla watermelon every night, how much watermelons does he he eat? If the pink eats watermelon every night, watermelons does © One Stop Teacher Shop © One Teacher

The Value of a Digit 43. 598 The same can be done with a decimal! 8 x. 001 =. 008 8 x 1/1, 000 =. 008 9 x. 01 =. 09 9 x 1/100 =. 09 5 x. 1 =. 5 5 x 1/10 =. 5 OR 3 x 1=3 4 x 10 = 40 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit To show the value of each digit, we can write a number in expanded form! If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit How do we write 3, 429. 188 in expanded form? (3 x 1, 000)+(4 x 100)+(2 x 10)+(9 x 1)+ (1 x 1/10)+(8 x 1/100)+(8 x 1/1, 000) OR 3, 000+400+20+9+0. 1+0. 08+0. 008 In both examples, each place-value is represented. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Let’s Practice Use what you just learned to answer the following questions. If thegorilla pink gorilla watermelon every night, how much watermelons does he he eat? If the pink eats watermelon every night, watermelons does © One Stop Teacher Shop © One Teacher

The Value of a Digit Write the value of the underlined digit. 3, 428. 97 Three-Thousand or 3, 000 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Write the value of the underlined digit. 3, 428. 97 Four-Hundred or 400 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Write the value of the underlined digit. 3, 428. 97 Nine-Tenths or 0. 9 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Write the following number in expanded form. 1, 528 (1 x 1, 000)+(5 x 100)+(2 x 10)+(8 x 1) OR 1, 000+500+20+8 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Write the following number in expanded form. 429. 82 (4 x 100)+(2 x 10)+(9 x 1)+(8 x 1/10)+(2 x 1/100) OR 400+20+9+0. 8+0. 02 If the pink gorilla eats watermelon every night, how much watermelons does he eat? If the pink gorilla eats watermelon every night, how © One Stop Teacher Shop

The Value of a Digit Write the following number in expanded form. 7, 390. 002 (7 x 1, 000)+(3 x 100)+(9 x 10)+(2 x 1/1, 000) OR 7, 000+300+90+. 002 When the place-value is zero, you do not need to include it in expanded form. If thegorilla pink gorilla watermelon every night, how much watermelons does he he eat? If the pink eats watermelon every night, watermelons does © One Stop Teacher Shop © One Teacher

The Value of a Digit Now that we understand that the value of each digit in a number is determined by its place value, we can compare numbers! If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When comparing two numbers, you must consider each place value. 3. 80 3. 08 Look at these two numbers! The ones place contains a 3 in both numbers, so they have equal value. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When comparing two numbers, you must consider each place value. 3. 80 3. 08 Now look at the Tenths place. These numbers are different! Which is greater? 8 or 0 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When comparing two numbers, you must consider each place value. 3. 80 3. 08 Right! 8 is greater than 0, so 3. 80 is greater than 3. 08! Once you find a place value that is greater, you have found the greater number. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When comparing numbers, a good strategy is to line up the numbers. Line-up the decimals! 59. 010 59. 101 58. 001 When we line-up our numbers, it is easier to compare each place value. If thegorilla pink gorilla watermelon every night, how much watermelons does he he eat? If the pink eats watermelon every night, watermelons does © One Stop Teacher Shop © One Teacher

The Value of a Digit When comparing numbers, a good strategy is to lineup the numbers. 59. 010 59. 101 58. 001 Each number has a 5 in the tens place. That means the numbers have the same value so far. We need to look at the next place value. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When comparing numbers, a good strategy is to line up the numbers. LEAST 59. 010 59. 101 58. 001 The first two numbers have a 9 in the ones place. That means they have the same value. Because the last number has an 8 in the ones place, its value is less then the other numbers. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When comparing numbers, a good strategy is to line up the numbers. GREATEST LEAST 59. 010 59. 101 58. 001 Look at the tenths place! Which is greater? 1 is greater than 0! If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When comparing numbers, a good strategy is to line up the numbers. GREATEST LEAST 59. 010 59. 101 58. 001 We don’t need to compare anymore placevalues. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit When comparing numbers, a good strategy is to line up the numbers. GREATEST to LEAST 59. 101, 59. 010, 58. 001 We don’t need to compare anymore place values! If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Let’s try another! Remember… 1. Line up the decimals 2. Compare the largest place value first. 3. Compare the digits in each place value. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Let’s try another! GREATEST 231. 1 31. 9 31. 799 Remem focus o ber to n the v a of the numbe lue the num r, not ber of digits! In this example, only the first number has a digit in the hundreds place. That means it is the GREATEST! If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Let’s try another! GREATEST 231. 1 31. 9 31. 799 Now look at the tens place! They are both equal. If thegorilla pink gorilla watermelon every night, how much watermelons does he he eat? If the pink eats watermelon every night, watermelons does © One Stop Teacher Shop © One Teacher

The Value of a Digit Let’s try another! GREATEST 231. 1 31. 9 31. 799 The ones place is equal too! We need to look at the next place value. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Let’s try another! GREATEST 231. 1 31. 9 LEAST 31. 799 Look at the tenths-place. Which is greater? 9 is greater than 7 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Let’s try another! GREATEST to LEAST 231. 1, 31. 9, 31. 799 We don’t need to compare anymore placevalues! If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Another strategy you can use when comparing numbers is… “Pretend like it’s MONEY!” $59. 010 $59. 101 $58. 001 Don’t Forget! Tenths place = dimes Hundredths place = pennies Thousandths place = 1/10 of a penny If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Which amount of money would you rather have? $59. 010 (59 dollars and 1 cent) $59. 101 (59 dollars and 10 cents) $58. 001 (58 dollars and 0 cents) If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Let’s Practice Use what you just learned to answer the following questions. If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Order the numbers from Greatest to Least 4. 32 4. 03 4. 30 Answer: 4. 32, 4. 30, 4. 03 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Order the numbers from Greatest to Least 201. 09 210. 9 201. 009 Answer: 210. 9, 201. 009 If the pink gorilla eats watermelon every night, how much watermelons does he eat? © One Stop Teacher Shop

The Value of a Digit Order the numbers from Least to Greatest 42. 081 42. 810 42. 080 Answer: 42. 080, 42. 081, 42. 810 If the pink gorilla eats watermelon every night, how much watermelons does he eat? If the pink gorilla eats watermelon every night, how © One Stop Teacher Shop

The Value of a Digit Use >, <, or = < 5. 001 _______ 5. 010 > 62. 9 _______ 62. 19 = 709. 16 _______ 709. 160 If thegorilla pink gorilla watermelon every night, how much watermelons does he he eat? If the pink eats watermelon every night, watermelons does © One Stop Teacher Shop © One Teacher