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Recognize that digits are 1/10 of and 10 times as much and Powers of 10: Videos:

Multiply whole numbers and decimals by powers of ten

Divide whole numbers and decimals by powers of ten

Power of ten decimal shifts

Notes and Resources:

1/10 and 10 times as much explanation for parents

1/10 and 10 times as much explanation

Powers of 10 resource for parents

Powers of 10 resource

Activities and Questions:

1/10 or and 10 times as much:

Worksheet with decimals

1. Given the number 595,645, explain why the 5 in the hundred thousands is 100 times larger than the 5 in the thousands. Create a visual model.
2. Given the number 499,645, explain why the 9 in the ten thousands is 10 times larger than the 9 in the thousands. Create a visual model. Extension: Create a visual model why the 9 in the thousands is 1/10 of the 9 in the ten thousands.
3. Write the digits two and forty-three hundredths on your place value chart and multiply by 10, then 100, and then 1000. Compare these products with your partner.
4. Canada has a population that is about 1/10 as large as the United States. If Canada’s population is about 32 million, about how many people live in the United States? Explain the number of zeros in your answer.
5. Write an equation and solve this story problem. At the grocery store, 2 pounds of turkey costs $21.64.  How much would 20 pounds of turkey cost?
6. What do you think would happen if you multiplied a number by 1,000,000?
7. Janice thinks that 20 hundredths is equivalent to 2 thousandths because 20 hundreds is equal to 2 thousands. Use words and a place value chart to correct Janice’s error.
8. Two numbers multiply to give 36,000. What might the two numbers be?
9. What number has 3 hundreds, 4 more tens then hundreds, and 1 more one than hundreds?

Powers of 10

1. The sun is about 93,000,000 miles from earth.  What is the distance in exponential notation? 
2. Complete this pattern: 0.062, 6.2,  620 _________ _________ __________  (Write the pattern on the board.) Turn and talk with your partner about the pattern on the board. How is the value of the 4 changing as we move to the next term in the sequence? Draw a place value chart to explain your ideas as you complete the pattern and use an exponent to express the relationships.
3. 1(10,000) + 2(1,000) + 4(100) + 3(10) + 2(1) + 5(1/10) + 3(1/100) Write a whole number that will represent one-tenth of the expanded form above? Prove your solution to be true with models and equations.
4. Sara said that when you multiply 50 x 500 all you have to do is 5 x 5 and add three zeros. Is Sara correct? Why can you (or can you not) add zeros when you multiply by a multiple of ten or a power of ten?
5. By 2002, more than 5.8 x 108 people around the world were using the Internet. Explain  how you can write 5.8 x 108 in standard form. What is the relationship between 5.8 and 5.8 x 108? 
6. Using pictures, numbers, and words, describe the pattern in the products when you multiply a decimal number by 10, by 100, and by 1,000. 
7. Using pictures, numbers, and words, describe the pattern in the products when you divide a decimal number by 10, by 100, and by 1,000.

Multiply using standard algorithm:

Videos:

Algorithm Video Steps Level 1- sign in with google

Algorithm Video Steps Level 2- sign in with google

Resources:

Parent explanation of standard

More reading on how to do the algorithm

Activities:

Drag and Drop Math

Learnzillion Task- students log in

Multiply decimals:

Videos:

Multiply decimals

Decimal x Decimal

Decimal x Whole Number

Resources:

Parent resource

Parent resource

Activities:

1. Madeline purchased 8 songs on ITunes for $1.29 each. What was the total amount she spent?
2. Estimate the product of 3.1 and 5.42 to the nearest tenth. Compare your estimated product to the actual product. Which product is more accurate? Explain your reasoning.
3. Aunt Mallory bought 4 Wiis for $210.94 a piece for each of her nephews. What was the total amount that she spent?
4. Darren says that 4.238 halved is 2.124, is he correct? Why or why not? 
5. Charlie says that 12.906 is three times the amount of 4.302, is he correct? Explain your reasoning.

Multiply Decimals by Decimals

Multiply decimals by whole numbers practice

Write and evaluate expressions:

Videos:

Learnzillion

Learnzillion 2

Learnzillion 3

Learnzillion 4

Resources:

Evaluate Expressions

Write Expressions

Tasks:

1. I wrote an equation using addition and subtraction that also used parentheses, brackets, and/or braces. The answer was 325. What might have the equation been?
2. Insert parentheses in the given expression 2+5 x 7-4 that will yield the largest answer.
3. What is the first step when evaluating the expression ____? Why?
4. Is this an expression? Is this an equation? How do you know? How can you tell the difference between an expression and an equation?
5. Write $8.25 + (4 x $5.50). What do the parentheses do?
6. Quinn bought three notebooks for $4.20 and two packs of pens for $3.50. How much money does she need? Write an expression, be sure to include parentheses.

5.OA.A.2

1. Explain what steps are needed to solve 2 x (8+7).
2. Write an expression to show 3 times the sum of 12 and 14.
3. Write an expression for the following scenario: Al picked 28 apples and put them equally into 4 groups and then he ate 2 of the apples.
4. Add 2 and 4 and multiply the sum by 3. Next, add 5 to that product and then double the result.