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Beginning with Whole Numbers

Practice

More Whole Numbers

Practice

Decimal Numbers

Practice

Beginning with Whole Numbers

Is there a difference between having 70 dollars and having 7 million dollars? Of course. That is the importance of place value.

Place value is the position of a single digit in the number. The position of a number is how far from the right or left it is from the decimal point. (If there is no decimal point, it is assumed to be at the end of the number.)

For example, in the number 70, the 7 is two places from the right.

In the number 7,000,000, the 7 is seven places from the right.

The first place to the right of the decimal is the ones place. The next one to the right is the tens place. The third place from the right is the hundreds place.

In a whole number, the value of each place is 10 times greater than the place to the right. Places to the left have a much larger value.

Let’s practice what we’ve learned.

Practice

1. Which digit is in the ones place in 547?

A) 5
B) 4
C) 7

2. What place is the 4 in the number 547?

A) ones
B) tens
C) hundreds

3. Which digit in 284 has the highest value?

A) 2
B) 8
C) 4

4. Which digit is in the hundreds place in 178?

A) 1
B) 7
C) 8

5. What place is the 9 in the number 879?

A) ones
B) tens
C) hundreds

6. Which digit in 391 has the highest value?

A) 3
B) 9
C) 1

7. Which digit is in the hundreds place in 953?

A) 9
B) 5
C) 3

8. What place is the 5 in the number 850?

A) ones
B) tens
C) hundreds

9. Which digit is in the tens place in 426?

A) 4
B) 2
C) 6

10. What place is the 6 in the number 647?

A) ones
B) tens
C) hundreds

11. Which digit is in the tens place in 901?

A) 9
B) 0
C) 1

12. What place is the 3 in the number 913?

A) ones
B) tens
C) hundreds

13. Which digit is in the ones place in 830?

A) 8
B) 3
C) 0

14. What place is the 3 in the number 384?

A) ones
B) tens
C) hundreds

15. Which digit in 198 has the highest value?

A) 1
B) 9
C) 8

16. Which digit is in the hundreds place in 169?

A) 1
B) 6
C) 9

17. Which digit is in the ones place in 983,120?

A) 9
B) 3
C) 2
D) 0

18. What place is the 4 in the number 958,564?

A) ones
B) tens
C) hundreds

19. Which digit is in the ones place in 387,456?

A) 3
B) 7
C) 4
D) 6

20. What place is the 2 in the number 749,562?

A) ones
B) tens
C) hundreds

21. Which digit is in the tens place in 953,420?

A) 5
B) 3
C) 2
D) 0

22. What place is the 5 in the number 361,752?

A) ones
B) tens
C) hundreds

23. Which digit is in the tens place in 562,438?

A) 6
B) 2
C) 4
D) 3

24. What place is the 0 in the number 953,046?

A) ones
B) tens
C) hundreds

25. Which digit is in the hundreds place in 562,701?

A) 5
B) 6
C) 1
D) 7

26. What place is the 2 in the number 563,420?

A) ones
B) tens
C) hundreds

27. Which digit is in the hundreds place in the number 867,213?

A) 8
B) 7
C) 2
D) 1

28. What place is the 8 in the number 650,918?

A) ones
B) tens
C) hundreds

More Whole Numbers

For numbers larger than 3 digits, we use commas to separate the places. A comma should be placed every 3 places to the left of the decimal. (Make sure to count from right to left when placing commas.) Each set of three digits is called a period.

To figure out where the comma goes, start counting from the decimal place or the number most to the right if there is no decimal place, after each set of three numbers, write a comma.

Now, let’s look at place value for larger numbers.

We’ve already learned that the first place to the right is the ones place. The next one to the right is the tens place. The third place from the right is the hundreds place.

The next period is called the thousands. The fourth place to the left is the thousands. The fifth place to the left is the ten thousands. The sixth place to the left is the hundred thousands.

The next period is called the millions. The seventh place to the left is the millions. The eighth place to the left is the ten millions. The ninth place to the left is the hundred millions.

Knowing these place names is important in knowing how to read a number.

1,986,000 is read “one million nine hundred eighty six thousand.”

549,119 is read “five hundred forty nine thousand one hundred nineteen.”

10,540,455 is read “ten million five hundred forty thousand four hundred fifty five.”

6,056,123 is read “six million fifty six thousand one hundred twenty three.” (Note that a zero is in the hundred thousands place. This holds that place since there are no hundred thousands.)

Remembering the periods will help you know how to read numbers.

Practice

29. Where do the commas go in the number?

A) 5,621,862
B) 562,186,2
C) 5621,862
D) 562,1862

30. How is the number “four million six hundred twenty five thousand six hundred fifteen” written?

A) 46,256,150
B) 40,625,615
C) 4,625,615
D) 400,625,615

31. How is the number 120,853 read?

A) one hundred twenty eight million hundred fifty three
B) one hundred twenty eight hundred fifty three
C) twelve thousand eight hundred fifty three
D) one hundred twenty thousand eight hundred fifty three

32. What place is the 2 in the number 50,128,463?

A) tens
B) ten thousands
C) thousands
D) hundred thousands

33. Which digit is in the millions place in 45,187,302?

A) 4
B) 5
C) 1
D) 3

34. Where do the commas go in the number?

A) 965,200,5
B) 965,2,005
C) 9,652,005
D) 9,652005

35. How is the number “seven hundred five thousand one hundred twelve” written?

A) 705,112
B) 75,112
C) 705,000,112
D) 750,112

36. How is the number 1,000,003 read?

A) one million three
B) one hundred thousand three
C) one hundred million three
D) ten million three

37. What place is the 6 in the number 6,359,047?

A) ten thousands
B) hundred thousands
C) millions
D) thousands

38. Which digit is in the hundred thousands place in 16,523,804?

A) 6
B) 1
C) 8
D) 5

39. How is the number “nine million twenty six thousand one hundred seventy five” written?

A) 9,260,175
B) 9,026,175
C) 9,26,175
D) 9,261,75

40. How is the number 3,455,019 read?

A) three hundred four hundred fifty five thousand nineteen
B) three million four hundred fifty five nineteen
C) three hundred million four hundred fifty five thousand nineteen
D) three million four hundred fifty five thousand nineteen

41. What place is the 5 in the number 6,758,903?

A) ten millions
B) ten thousands
C) millions
D) thousands

mcs Which digit is in the thousands place in 13,856,724?
3
8
5
*6

42. Where do the commas go in the number?

A) 5,893,271,06
B) 589,327,106
C) 58,9327,106
D) 589,32,7106

43. How is the number 50,659,100 read?

A) five million six hundred fifty nine thousand one hundred
B) five million six hundred fifty nine one hundred
C) fifty million six hundred fifty nine thousand one hundred
D) fifty million six hundred fifty nine thousand one

44. How is the number 7,002,856 read?

A) seventy two million eight hundred fifty six
B) seven million two hundred thousand eight hundred fifty six
C) seven million twenty thousand eight hundred fifty six
D) seven million two thousand eight hundred fifty six

45. What place is the 0 in the number 26,503,914?

A) thousands
B) hundred thousands
C) zero
D) ten thousands

46. Where do the commas go in the number?

A) 659,637,120,6
B) 65,96,371,206
C) 6,596,371,206
D) 659,637,1206

47. What place is the 3 in the number 13,258,746?

A) millions
B) hundred thousands
C) thousands
D) ten thousands

48. How is the number “eight million six thousand four hundred eighty one” written?

A) 8,060,480
B) 86,481
C) 8,006,481
D) 8,600,481

49. How is the number 9,406,008 read?

A) nine million four hundred six thousand eight
B) nine million four sixty thousand eight
C) ninety four million six thousand eight
D) nine million four hundred six thousand eighty

50. Where do the commas go in the number?

A) 1,0238,965
B) 102,389,65
C) 102,38,965
D) 10,238,965

51. What place is the 9 in the number 4,000,927?

A) thousands
B) hundred thousands
C) ten thousands
D) hundreds

52. Which digit is in the hundred thousands place in 42,159,367?

A) 2
B) 3
C) 1
D) 4

Decimal Numbers

Just as there are place values in whole numbers, there are also place values to the right of the decimal point.

The decimal point is a dot or period in a number that separates the whole number part of the number from the fraction part of a number. The part to the right of the decimal point shows a part of a whole number.

The digits in a decimal have different place values. Moving to the right of the decimal point, each decimal place value is 10 times smaller than the one to the left.

Remember that there is always a “th” in the name of decimal place values.

No commas are included in digits to the right of the decimal point.

The decimal .87 is read “eight seven hundredths” or “point eight seven.”

Decimals can also be written as fractions. The digits to the right of the decimal point go on top of the fraction (without the decimal point). The place value goes on the bottom of the fraction.

For example, if there is only one digit in the decimal (place value of tenths), 10 goes on the bottom of the fraction. If there are two digits in the decimal (place value of hundredths), 100 goes on the bottom of the fraction. If there are three digits in the decimal (place value of thousandths), 1000 goes on the bottom of the fraction.

When we count or compute amounts of money, decimals are important. The digits to the right of the decimal point are cents. The cents represent fractions of a dollar.

An amount of $234.55 means 234 dollars and 55 cents. The 55 cents is a part of a dollar.

Note that when stating an amount of cents, we don't write the decimal point. A dime is worth $.10 or 10 cents (not .10 cents).

Let’s practice this now.