Test 1. Writing numbers

Before proceeding to the solution of examples and problems be sure to read the theoretical part of the lesson 

Writing numbers

 1. WRITE   >, <,  or  =  in each box:

650 ? 825.

 а)  > ;      b)  = ;     

 c)  < ;      d)  ∞.

  2. WRITE   >, <,  or  =  in each box:

503 ? 490.

 а)  > ;      b)  = ;     

 c)  < ;      d)  ∞.

 3. WRITE   >, <,  or  =  in each box:

239 ? 223.

 а)  > ;      b)  = ;     

 c)  < ;      d)  ∞.

 4. WRITE   >, <,  or  =  in each box:

2,895 ? 4,923.

 а)  > ;      b)  = ;     

 c)  < ;      d)  ∞.

 5. WRITE   >, <,  or  =  in each box:

6,067 ? 8,489.

 а)  > ;      b)  = ;     

 c)  < ;      d)  ∞.

 6. WRITE   >, <,  or  =  in each box:

7,445 ? 6,301.

 а)  > ;      b)  = ;     

 c)  < ;      d)  ∞.

 7. WRITE   >, <,  or  =  in each box:

5,636 ? 5,207.

 а)  > ;      b)  = ;     

 c)  < ;      d)  ∞.

 8. WRITE  <  or  >  in each box:

2.389 ? 3,289.

 а)  > ;      b)  = ;      
 c)  < ;      d)  ∞.

 9. WRITE   >, <,  or  =  in each box:

 а)  > ;      b)  = ;      
 c)  < ;      d)  ∞.

10. WRITE   >, <,  or  =  in each box:

 а)  > ;      b)  = ;      
 c)  < ;      d)  ∞.

11. WRITE   >, <,  or  =  in each box:

 а)  > ;      b)  = ;      
 c)  < ;      d)  ∞.

12. WRITE   >, <,  or  =  in each box:

 а)  > ;      b)  = ;      
 c)  < ;      d)  ∞.

Lesson 1. Writing numbers

Place value tells you what each digit in a namber means. The value of the digit depends on the place it occupies.

Place Value of 100s

Numbers have digits. Place value helps you know what each digit stands for.

EXAMPLE:

Each digit in the number 111 has its own value.

EXAMPLE:

In the number 373, the 3 in the hundreds place, the 7 is the tens place, and the 5 is in the ones place. So 375 means 3 handreds + 7 tens + 5 onts.

Place Value of 1,000s

Some numbers have 4 digits.

EXAMPLE:

Each digit in the number 1,132 has its own value.

Place Value of 100,000s

You can write numbers that have 6 digits.

EXAMPLE:

Each digit in the number 763,285 has its own value.

You can use a place-value chart to help you tell the value of a digit in a number.

EXAMPLE:

This number is 493,286. The 2 is in the hundreds place. The 9 is in the ten thousands place.

USE A PLACE-VALUE CHART

EXAMPLE:

This place-value chart shows the place occupied by all the digits in the number 784,234,941.

In this number, the digit 7 is the hundred millions place, the digit 8 is in the ten millions place, and so on. Places are organized into periods, or groups of thee. A long string of digits is hard to read, so periods are separated by commas.

NUMBER FORMS

You can write numbers in different ways. There free three ways to write numbers. You can use standard form, expanded form, and word form.

  

Standard Form:

8,297,345.

Expanded Form:

(8×1,000,000) + (2×100,000) + (9×10,000) + (7×1,000) + (3×100) + (4×10) + (5×1).

Word Form:

Eight million, two hundred ninety-seven thousand, three hundred forty-five.

The value of a digit changes when its place in a number changes. You can multiply of divide to determine the value.

EXAMPLE:

In 700, the 7 has a value of 700. Move the 7 one place to the right. What is the value of the digit now? You can use a place value chart to find the value.

You can also divide by 10 to find the value: 

700 ÷ 10 = 70. 

The 7 has a value of 70.

EXAMPLE:

In 942, the 9 has a value of 900. Move the 9 one place to the left. What is the value of the digit now? You can use a place value chart to find the value.

You can also multiply by 10 to find the value:

900 × 10 = 9,000.

The 9 has a value of 9,000.

Don’t forget the comma after the millions place and the thousands place. Starting at the right, count every three digits to the left and add a comma.

Tasks to the lesson 1

• Test 1
• Test 2
• Test 3

Other lessons:

• Lesson 2. Adding whole numbers
• Lesson 3. Substracting whole numbers
• Lesson 4. Multiplication table
• Lesson 5. Multiplying whole numbers
• Lesson 6. Division whole nambers
• Lesson 7. Exponentiation
• Lesson 8. Sizes and their measuring
• Lesson 9. Dividing whole numbers with remainder
• Lesson 10. Factors and prime numbers
• Lesson 11. Highest common factor
• Lesson 12. Lowest common multiple
• Lesson 13. Equivalent fractions
• Lesson 14. Transformation of fraction
• Lesson 15. Adding fractions
• Lesson 16. Subtract fractions
• Lesson 17. Multiplying fractions
• Lesson 18. Dividing fractions
• Lesson 21. Eventual decimal fractions
• Lesson 22. Adding decimals
• Lesson 23. Subtracting decimals
• Lesson 24. Multiplying decimals
• Lesson 25. Dividing decimals
• Lesson 26. Rounding numbers

Test 3. Adding whole numbers

Before proceeding to the solution of examples and problems be sure to read the theoretical part of the lesson 

Adding whole numbers

 1. In the first four games of the season, the Muskrat basketball team scored 77, 88, 93, and 101 points. How many points did they score in the fish 4 games?

 а)  359;      b)  379;      
 c)  249;      d)  369.

 2. At Gainesville Middle School, there are 327 students in the sixth grade, 463 students in the seventh grade, and 308 students in the eighth grade. How many students are there at Gainesville Middle School?

 а)  1,096;      б)  1,198;      
 c)  1,098;      d)  1,088.

 3. Trevor is calculating the betting statistics for his baseball team. They hit 145 homeruns, 117 triples, 612 doubles, and 543 singles. Using these statistics, how many times did Trevor’s team hit the ball?

 а)  1523;      b)  1417;      
 c)  1434;      d)  1517.

 4. The populations of Pottsville, Middleton, and Swain are 38,247; 42,635; and 1,324. What is the total population of these cities?

 а)  82,196;      b)  82,106;      
 c)  82,216;      d)  82,206.

 5. Marcella has a dog-walking business. She walked 12 dogs on Thursday, 15 dogs on Saturday, and 9 dogs on Sunday. How many dogs did Marcella walk altogether? Write a number sentence and solve the problem.

     

 а)  18;      b)  36;      
 c)  6;        d)  12.

 6. On Monday, Sarah read 24 pages of her book. On Tuesday night, she read 41 pages, and Wednesday night, she read 32 pages. How many pages did Sarah read altogether?

 а)  97;      b)  33;      
 c)  65;      d)  69.

 7. Bly has 43 pennies, 13 dimes, and 16 nickels. How many coins does she have in all?

 а)  29;      b)  56;      
 c)  72;      г)  59.

8. There are 23 students in Ms. Haran’s class, 26 students in Ms. Robinson’s class, and 27 students in Ms. Campos’s class. How many students are in the three classes?

 а)  49;      b)  76;      
 c)  53;      d)  69.

 9. Manuel has 19 quarters, 36 dimes, 58 nickels, and 143 pennies. How many coins does Manuel have?

 а)  256;      b)  258;      
 c)  246;      d)  236.

  

10. Beatrice works the weekend shift at the local nature park. 325 people visited the park on Saturday morning. During the afternoon, another 455 people visited the nature park. That evening, another 175 people attended. How many people, in total, visited the park on Saturday?

 а)  855;      b)  895;      
 c)  987;      d)  955.

11. Manuel read 58 pages on Sunday, 37 pages on Monday, and 43 pages on Tuesday. How many total pages did he read?

 а)  138;      b)  96;      
 c)  128;      d)  148.

12. Mr. Grant’s class is working on a recycling project. The students are collecting aluminum cans. Over 3 days, they collected 88 cans, 113 cans, and 73 cans. Haw many cans did they collect?

 а)  264;      b)  201;      
 c)  274;      d)  186.