ISEE Middle Level Quantitative : Whole Numbers

Study concepts, example questions & explanations for ISEE Middle Level Quantitative

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Example Questions

Example Question #1 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 10.32.59 am

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Next, we multiply and 

 

Example Question #2 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 11.07.48 am

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Next, we multiply  and 

 

Example Question #3 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.00.41 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Next, we multiply  and 

 

Example Question #4 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.14.20 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Next, we multiply  and 

 

Example Question #1 : Whole Numbers

Solve the following:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.20.54 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Next, we multiply  and 

 

Example Question #1 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.31.20 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Next, we multiply  and 

 

Example Question #5 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.36.48 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Next, we multiply  and 

 

Example Question #6 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.45.25 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Because the product is greater than , we carry the  and add it to the next product. 

Next, we multiply  and  and then add the  we carried. 

 

Example Question #7 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 12.53.41 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Because the product is greater than , we carry the  and add it to the next product. 

Next, we multiply  and  and then add the  we carried. 

 

Example Question #8 : Use Place Value Understanding And Properties Of Operations To Perform Multi Digit Arithmetic

Solve:

Possible Answers:

Correct answer:

Explanation:

We can make a rectangular array using squares to help us solve this problem. Our multiplication problem is ; therefore, the rectangular array should have  squares across the top row and  squares down the first column. The rectangular array should look like the image below:

Screen shot 2016 05 18 at 1.11.14 pm

We can count the squares to find our answer. The correct answer is is 

In order to solve this problem using multiplication, we must multiply the multiplier by each digit of the multiplicand to get the answer, which is called the product.

For this problem,  is the multiplier and  is the multiplicand. 

First, we multiply  and 

Because the product is greater than , we carry the  and add it to the next product. 

Next, we multiply  and  and then add the  we carried. 

 

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