Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 2 Practice 1 Using a Calculator to finish your assignments.

## Math in Focus Grade 5 Chapter 2 Practice 1 Answer Key Using a Calculator

**Add.**

Question 1.

215 + 9,843 = ________

Answer: 10050

The addition is taking two or more numbers and adding them together, that is, it is the total sum of 2 or more numbers.

An addition sentence is a mathematical expression that shows two or more values added together and their sum.

215

The numbers that are added are called addends and the answer to addition is called the sum. In an addition sentence, the addends are added to get the sum. The numbers with more than 2 digits can also be added vertically. We always start adding from the ones digit and move towards the digits at the highest place.

Question 2.

6,789 + 18 = ____

Answer: 6807

Step 1: Write the numbers one below the other as per the places of the digits.

Step 2: Start adding from the ones digit. Write the sum under the ones digit. If the sum of the one’s digit is greater than 9, write the one’s digit of the sum under the ones and carry forward its tens digit to the tens column.

Step 3: Add the tens digits. (If there was a carry forward digit, add it along)

The numbers that are added are called addends and the answer to the addition is called the sum. In an addition sentence, the addends are added to get the sum. The numbers with more than 2 digits can also be added vertically. We always start adding from the ones digit and move towards the digits at the highest place.

6789 and 18 are the addends and the 6807 is a sum.

Question 3.

97 + 8,154 = ________

Answer: 8,251

Step 1: Write the numbers one below the other as per the places of the digits.

Step 2: Start adding from the ones digit. Write the sum under the ones digit. If the sum of the one’s digit is greater than 9, write the one’s digit of the sum under the ones and carry forward its tens digit to the tens column.

Step 3: Add the tens digits. (If there was a carry forward digit, add it along)

The numbers that are added are called addends and the answer to the addition is called the sum. In an addition sentence, the addends are added to get the sum. The numbers with more than 2 digits can also be added vertically. We always start adding from the ones digit and move towards the digits at the highest place.

8154 and 97 are the addends and the 8251 is a sum.

Question 4.

1,693 + 8,157 = ____

Answer: 9850

Step 1: Write the numbers one below the other as per the places of the digits.

Step 2: Start adding from the ones digit. Write the sum under the ones digit. If the sum of the one’s digit is greater than 9, write the one’s digit of the sum under the ones and carry forward its tens digit to the tens column.

Step 3: Add the tens digits. (If there was a carry forward digit, add it along)

The numbers that are added are called addends and the answer to the addition is called the sum. In an addition sentence, the addends are added to get the sum. The numbers with more than 2 digits can also be added vertically. We always start adding from the ones digit and move towards the digits at the highest place.

1693 and 8157 are the addends and 9850 is a sum.

Subtract.

Question 5.

8,215 – 79 = ___

Answer: 8,136

Subtraction means reducing a value from another value to get the required value.

The number 8,125 is called minuend.

The number 79 is called subtrahend.

The number 8,136 is called the difference.

8,125-79=8,136

The number you take away from is called the minuend. It is the biggest number in the equation.

Question 6.

6,286 – 129 = ____

Answer: 6157

Subtraction means reducing a value from another value to get the required value.

The number 6,286 is called minuend.

The number 129 is called subtrahend.

The number 6,157 is called the difference.

6286-129=6157

The number you take away from is called the minuend. It is the biggest number in the equation.

we need to borrow 1 to group 6 as 16 and then subtract 9 from it. Then we get 7.

Question 7.

2,159 – 1,998 = ____

Answer: 161

Subtraction means reducing a value from another value to get the required value.

The number 2,159 is called minuend.

The number 1,998 is called subtrahend.

The number 161 is called the difference.

2159-1998=161

The number you take away from is called the minuend. It is the biggest number in the equation.

We need to borrow 1 to group 1 as 11 and 5 as 15 and then subtract from it.

Question 8.

26,145 – 9,354 = ____

Answer: 16791

Subtraction means reducing a value from another value to get the required value.

The number 26,145 is called minuend.

The number 9354 is called subtrahend.

The number 16,791 is called the difference.

26,145-9,354=16,791

The number you take away from is called the minuend. It is the biggest number in the equation.

We need to borrow 1 to group 4 as 14, 1 as 11, 6 as 16 and then subtract from it.

**Multiply.**

Question 9.

359 × 12 = ___

Answer: 4308

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life. The major application we can see in multiplication tables.

The multiplication of numbers say, ‘a’ and ‘b’, is stated as ‘a’ multiplied by ‘b’.

Multiplication symbol: The symbol of multiplication is denoted by a cross sign (×) and also sometimes by a dot (.).

Multiplication formula:

The multiplication formula is given by:

Multiplier × Multiplicand = Product

1. The multiplicand is the total number of objects in each group

2. The multiplier is the number of equal groups

3. Product is the result of multiplication of multiplier and multiplicand.

Rules of multiplication (how to multiply):

There are various rules to multiply numbers. They are:

1. Multiplication of two integers is an integer.

2. Any number multiplied by 0 is 0.

3. Any number multiplied by 1 is equal to the original number.

4. If an integer is multiplied by multiples of 10, then the same number of 0s are added at the end of the original number. Example: 4 × 1000 = 4000.

5. The order of the numbers, does not matter, when multiplied together. Example: 2 × 3 × 4 × 5 = 5 × 4 × 3 × 2 = 3 × 2 × 4 × 5 = 120.

Now by applying all the rules we need to calculate 359×12:

Now I multiplied 2 with 9 then I get 18 I cancelled 8 and wrote in the problem and the remaining 1 will be added to the next means I multiplied 2 with 5 then I get 10. To this 10 I added the remaining 1 to the 10 then it becomes 11 again I cancelled 1 and wrote in the problem and so on…

Question 10.

217 × 58 = ___

Answer:12,586.

Multiplication symbol: The symbol of multiplication is denoted by a cross sign (×) and also sometimes by a dot (.).

Multiplication formula:

The multiplication formula is given by:

Multiplier × Multiplicand = Product

1. The multiplicand is the total number of objects in each group

2. The multiplier is the number of equal groups

3. Product is the result of multiplication of multiplier and multiplicand.

Therefore, the answer is 12,586.

Question 11.

1,975 × 5 = ___

Answer: 9875

Multiplication symbol: The symbol of multiplication is denoted by a cross sign (×) and also sometimes by a dot (.).

Multiplication formula:

The multiplication formula is given by:

Multiplier × Multiplicand = Product

1. The multiplicand is the total number of objects in each group

2. The multiplier is the number of equal groups

3. Product is the result of multiplication of multiplier and multiplicand.

We need to add the remaining numbers to the next multiple products.

Question 12.

7,050 × 8 = ___

Answer: 56400

Multiplication symbol: The symbol of multiplication is denoted by a cross sign (×) and also sometimes by a dot (.).

Multiplication formula:

The multiplication formula is given by:

Multiplier × Multiplicand = Product

1. The multiplicand is the total number of objects in each group

2. The multiplier is the number of equal groups

3. Product is the result of multiplication of multiplier and multiplicand.

Multiplying with something with 0 will get 0. And I multiplied 8 by 5 I get 40. In 40 I cancelled 0 and the remaining 4 will be added to the next multiple products and so on… the process continues until the calculation completes.

**Divide**

Question 13.

504 ÷ 9 = ____

Answer: 56

Division: The meaning of divide is to separate into two or more equal parts, areas, classes, categories, groups or divisions. In simple words, the meaning of divide is to distribute the whole thing to a group in equal parts or make equal parts. Suppose, a diagonal of a square divides it into two triangles of equal area. The result of a division operation may or may not be an integer. Sometimes, the result will be in the form of decimal numbers.

Divide symbol: The symbol used to represent divide or division is ÷, slash (/) or a horizontal line ( _ ). These symbols are used as per convenience while dealing with various types of problems and calculations. Also, x/y or can be read as “x by y” or “x over y”.

Division Math Formula: The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate the division of two numbers is:

Dividend ÷ Divisor = Quotient + Remainder.

Here,

1. The dividend is the number, which is being divided

2. The divisor is the number, which divides the number (dividend) into equal parts

3. The quotient is the result of the division operation

4. The remainder is the leftover number in the division operation.

Points to Remember:

– If a number is divided by 1, the answer should be the same as the dividend. For example, 56/1 is 56.

– If the dividend and divisor are the same, then the quotient is 1. For example, 10/10 is 1.

– If a dividend is divided by 0, then the answer is undefined. For example, 15/0 is undefined.

Now by remembering all the points we calculate the division problem:

Question 14.

4,104 ÷ 6 = ___

Answer: 684

Division Math Formula: The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate the division of two numbers is:

Dividend ÷ Divisor = Quotient + Remainder.

We need to divide 4104 with 6 then we get the quotient 684 and the remainder is 0.

Question 15.

8,160 ÷ 85 = ____

Answer: 96

Division Math Formula: The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate the division of two numbers is:

Dividend ÷ Divisor = Quotient + Remainder.

96 is the quotient and 0 is the remainder.

Multiply 85 by 9 then we get 765. from 816 subtract 765 then we get 51 and in the dividend, we have 0. That 0 will get down. Then it will become 510. Again multiply 85 by 6. Then we get 510. Subtract 510 from the 510. Then it becomes 0 which is the remainder.

Question 16.

17,604 ÷ 18 = ____

Answer: 978

Division Math Formula: The four important terms used in the division operation are dividend, divisor, quotient and remainder. The formula to calculate the division of two numbers is:

Dividend ÷ Divisor = Quotient + Remainder.

In this problem also we have to multiply 18 by 9 then we get 162 and then subtract then we get 14. Now the tens place will get down then 14 becomes 140 and again multiply 18 by 7 then we get 126 again subtract 126 from 140 then we get 14 and again get down ones place 4, then 14 becomes 144. Subtract both we get 0 which is the remainder.

**Only one path after each problem has the correct answer.**

**Trace Flavio’s path by choosing the paths with the correct answers.**

Question 17.

The prize at the end of Flavio’s path is:

Answer: Football.

Flavio’s path is represented in the below diagram with the colouring:

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