Section D: Practice Problems Different Ways to Make a Number

Section Summary

Details

We made two-digit numbers with different amounts of tens and ones.

Each of these representations shows 37.

Base ten diagram. 3 tens. 7 ones.
Base ten diagram. 2 tens. 17 ones.
Base ten diagram. 1 ten.  27 ones.
Base ten diagram. 37 ones.

We compared two-digit numbers that were made with tens and ones in different ways.

5 tens 2 ones and 12 ones 3 tens

Problem 1 (Lesson 20)

  1. Circle 2 pictures that show 46.

    1. Base ten diagram. 4 tens. 6 ones.
    2. Base ten diagram. 5 tens. 6 ones.
    3. Base ten diagram. 3 tens. 16 ones.
    4. Base ten diagram. 2 tens. 16 ones.

  2. Show a different way to make 46.

Problem 2 (Lesson 21)

Show 4 different ways you can make 35 using tens and ones.

Problem 3 (Lesson 22)

Fill in each blank with , , or to make the equation true.

  1. 79

  2. 20+25

  3. 35

Problem 4 (Exploration)

Andre said he is thinking of a 2-digit number.
He makes the number from tens and ones in 8 different ways.
In one way, there is 1 more ten than there are ones.
What is Andre’s number?
Show your thinking using drawings, numbers, or words.

Problem 5 (Exploration)

  1. Fill in the blanks so that all three descriptions show the same number.

    • 7 tens + ones

    • 2 tens + ones

    • tens + 35 ones

  2. Is there more than one way you can fill in the blanks?
    Show your thinking using drawings, numbers, or words.

Problem 6 (Exploration)

Exploration

Incomplete Number Riddles

Choose digits from the list to put in the blanks in the riddles.

3

6

5

4

2

1

Then solve the riddles.
You can use cubes or other math tools to help you.

  1. I have tens and ones. What number am I?

  2. I have tens and ones. What number am I?

  3. I have tens and 18 ones. What number am I?

  4. I have tens and 25 ones. What number am I?