## Envision Math 5th Grade Textbook Answer Key Topic 1.5 Problem Solving

**Look for a Pattern**

There are patterns in decimal number charts. Continue the pattern to label the other squares.

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Another Example

In this decimal number chart, what are the patterns in the diagonals?

Using the same system as above, you could fill in the diagonals of a decimal number chart.

**Explain It**

Question 1.

If the grid above were extended by 2 cells in the same design, what decimals would be used to complete the grid?

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What are the missing decimals?

What are the missing decimals?

Moving from left to right, tenths are the same in each row except for the last number; the hundredths increase by 1.

**Guided Practice***

Do you know how?

In 1 and 2, determine the patterns, and then complete the grids.

Question 1.

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Question 2.

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Do you UNDERSTAND?

Question 3.

In a completed decimal chart, look at the first row, which begins 0.01,0.02. If Rene were to create a thousandths table, what two numbers would immediately follow 0.001?

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Question 4.

Write a real-world problem that you could solve by looking for a pattern.

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**Independent Practice**

In 5 and 6, determine the patterns, and then complete the grids.

Question 5.

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Question 6.

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Question 7.

Describe the patterns you should use to complete the following grid, then complete it.

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Question 8.

Determine the pattern, and then complete the grid.

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Question 9.

Determine the pattern, and then complete the grid.

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Question 10.

What is the missing number in the grid?

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Question 11.

Drake drew a grid of five cells in a row. The number 0.75 was in the middle cell. What did Drake’s grid look like?

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Question 12.

Determine the pattern, and then complete the grid.

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Question 13.

Juan and his family went to a movie. They bought 2 adult tickets for $8 each and 3 student tickets for $5 each. They paid with two $20 bills. How much change did they get?

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Question 14.

The greatest distance of Mercury from Earth is 136,000,000 miles. Write this number in expanded form.

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**Think About the Process**

Question 15.

You buy three items costing $0.37, $0.35, and $0.19, and give the clerk $1.00. Which expression shows how to find the amount of change you would get from $1.00?

A. $0.37 + $0.35 + $0.19 + $1.00

B. $1.00 – $0.37

C. $1.00 – ($0.37 + $0.35 + $0.19)

D. $1.00 + $0.37 + $0.35 – $0.19

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Question 16.

If 100 people are waiting in line to buy tickets and only 53 tickets are available, which expression would you use to find how many people won’t be able to buy tickets?

A. 100+53

B. 100 – 53

C. 100×53

D. 53 + 53

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**Stop and Practice**

Find the sum. Estimate to check if the answer is reasonable.

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Question 2.

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Question 3.

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Question 4.

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Find the difference. Estimate to check if the answer is reasonable.

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Question 6.

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Question 7.

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Question 8.

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Find the product.

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Question 10.

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Question 11.

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Question 12.

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Question 13.

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Question 14.

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Question 15.

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Question 16.

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Question 17.

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Question 18.

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Error Search Find each sum or difference that is not correct. Write it correctly and explain the error.

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Question 20.

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Question 21.

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Question 22.

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Question 23.

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**Number Sense**

Estimating and Reasoning Write whether each statement is true or false. Explain your reasoning.

Question 24.

The product of 5 and 7 is 5 less than 30.

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Question 25.

The sum of 610 and 209 is less than 800.

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Question 26.

The quotient of 0 divided by 6 is zero.

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Question 27.

The difference of 619 – 271 is greater than 300 and less than 500.

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Question 28.

The sum of 196 + 435 is 4 less than 635.

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Question 29.

The quotient of 7 divided by 1 is 1.

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