How does the value of a digit change?
 Show In the positional place value system of numbers its value is increased by increments of 10, 100, 1000, 10,000 of etc. More answers In the positional place value system of numbers its value is increased by increments of 10, 100, 1000, 10,000 ..... etc Add your answer:Earn +20 pts Q: How does moving the place of a digit changes its value? Write your answer... Still have questions? Continue Learning about Other Math Made with 💙 in St. Louis Copyright ©2022 System1, LLC. All Rights Reserved. The material on this site can not be reproduced, distributed, transmitted, cached or otherwise used, except with prior written permission of Answers. What is the difference between face value and place value of digits? Before we proceed to face value and place value let us recall the expanded form of a number. The expanded form of 534 is 500 + 30 + 4 We read it as five hundred thirty four. Similarly, 798 = 700 + 90 + 8 We read it as seven hundred ninety eight. 2936 = 2000 + 900 + 30 + 6 = Two thousand nine hundred thirty six For
example similarly, all numbers can be written in expanded form and read accordingly. (i) 35 = 30 + 5 = Thirty five (ii) 327 = 300 + 20 + 7 = Three hundred twenty seven (iii) 942 = 900 + 40 + 2 = Nine hundred forty two (iv) 1246 = 1000 + 200 + 40 + 6 = One thousand two hundred forty six (v) 3584 = 3000 + 500 + 80 + 4 = Three thousand five hundred eighty four (vi) 5167 = 5000 + 100 + 60 + 7 = Five thousand one hundred sixty seven The digits of a number express the values of their own when the number is given in expanded form and read in words. The value of a digit when expressed in expanded form of the number is called its place value in the number. For example: (i) In the number 378; the place value of 3 is 300 (three hundred) the place value of 7 is 70 (seventy) the place value of 8 is 8 (eight) (ii) In the number 5269; the place value of 5 is 5000 (five thousand) the place value of 2 is 200 (two hundred) the place value of 6 is 60 (sixty) the place value of 9 is 9 (nine) Thus, the place value of a digit in a number is the value it holds to be at the place in the number. If 5 is at Thousand-place in a number, its place value will be 5000, if it is at Hundred-place, its value will be 500, etc. In the number 2137, 2 is at Thousand-place, 1 is at Hundred-place, 3 is at ten’s-place and 7 is at one’s-place. So, the place values of the digits 2, 1, 3 and 7 are 2000, 100, 30 and 7. Place Value of a Digit = Digit × Position of digit For example, (i) Place value of 7 in 3765 is 7 × 100 = 700 or 7 Hundreds. (ii) Place value of 9 in 9210 is 9 × 1000 = 9000 or 9 Thousands. (iii) Place value of 4 in 5642 is 4 × 10 = 40 or 4 Tens. Now, let us find place value of each digit of the numbers given below. (i) 5672; (ii) 4198 (i) 5672 In the number 5672 The place value of 5 is 5000 (in words five thousand) The place value of 6 is 600 (in words six hundred) The place value of 7 is 70 (in words seventy) The place value of 2 is 2 (in words two) (ii) 4198 In the number 4198 The place value of 4 is 4000 (in words four thousand) The place value of 1 is 100 (in words one hundred) The place value of 9 is 90 (in words ninety) The place value of 8 is 8 (in words eight) We know that the face value of a digit is the digit itself, at whatever place it may be. The face value of a digit never changes. It is unchangeable and definite. But place value changes according to the digit’s place. The face value of digit 9 is 9. The face value of digit 1 is 1. The face value of digit 5 is 5. For example; to find face value and place value of 3572: face value of 2 is 2 place value of 2 is 2 face value of 7 is 7 place value of 7 is 70 face value of 5 is 5 place value of 5 is 500 face value of 3 is 3 place value of 3 is 3000 The face value as well as place value of zero (0) is always (0). We used the spike-abacus to show, to read and to write a number properly. Now with our knowledge of the values of the digits we read and write the numbers without the help of an abacus. This abacus shows the number 423.
Now, having the knowledge of face value and place value of the digit, we ascertain the total value of a number; as: In 423; the face value of 4 is 4 and place value of 4 is 400 the face value of 2 is 2 and place value of 2 is 20 the face value of 3 is 3 and place value of 3 is 3 So, 423 = 400 + 20 + 3 It is read as, four hundred, twenty and three or four hundred twenty three. The face value of a digit is the digit itself. Face value of a digit is unchangeable and definite. But place value changes according to the digit’s place. For example, face value of 5 in 3547 is 5 and in 8599 is also 5. Similarly, face value of 7 in 2736 is 7. Now, let us find the face value and place value of all the digits in number 9283. Face value 3 is 3 and place value of 3 is 3. Face value 8 is 8 and place value of 8 is 80. Face value 2 is 2 and place value of 2 is 200. Face value 9 is 9 and place value of 9 is 9000 Note: Place value and face value of 0 is always 0. Questions and Answers on Place Vale and Face Value: I. Write the place value and face value of each underlined digit:
Answer: I. (i) 800, 8 (ii) 4000, 4 (iii) 3, 3 (iv) 200, 2 (v) 30, 3 (vi) 2000, 2 (vii) 10, 1 II. Write the face value and place value of the digits given in red. One has been done for you.
Answer: II. (ii) 3, 300 (iii) 1, 10 (iv) 6, 600 (v) 0, 0 III. Write the missing place value in the blank space: (i) 5174 = 5000 + 100 + 70 + ……….. (ii) 6797 = 6000 + ……….. + 90 + 7 (iii) 1132 = ……….. + 100 + 30 + 2 (iv) 9679 = ……….. + 600 + 70 + 90 (v) 5864 = 5000 + 800 + 60 + ……….. Answer: III. (i) 4 (ii) 700 (iii) 1000 (iv) 9000 (v) 4 IV. Write the place value of each colored digit in the following numbers: (i) 2347 (ii) 6439 (iii) 4685 (iv) 3341 (v) 5519 (vi) 8971 (vii) 8131 (viii) 1112 (ix) 8308 (x) 2101 (xi) 2434 (xii) 6245 Answer: IV. (i) 300 (ii) 9 (iii) 4000 (iv) 1 (v) 9 (vi) 8000 (vii) 30 (viii) 1000 (ix) 8 (x) 100 (xi) 2000 (xii) 40 V. Write the place and its face value of the digits given in pink. One has been done for you.
Answer: (ii) Ones, 9 (iii) Hundreds, 6 (iv) Hundreds, 9 (v) Tens, 0 3rd Grade Math Lessons From Face Value and Place Value to HOME PAGE Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need. How does the value of a digit change as it moves from the right to the left in a place value chart?A place value chart is a diagram that helps us to find and compare the place value of the digits in numbers through millions. The place value of a digit in the place value chart increases by ten times as we shift to the left and decreases by ten times as we shift to the right.
What determines the value of a digit?The value refers to the worth of each digit depending on where it lies in the number. We calculate it by multiplying the place value and face value of the digit.
How does a digits position affect its value?Numbers - Place Value - First Glance. In our decimal number system, the value of a digit depends on its place, or position, in the number. Each place has a value of 10 times the place to its right. A number in standard form is separated into groups of three digits using commas.
What change occurs when a digit changes its place?Moving the place of a digit changes its value by 10, increasing ten times if moved to the left and decreasing ten times if moved to the right.
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