**Category : **3rd Class

The standard unit for the measurement of mass is kilogram (kg) and gram (g).

Mass of small object is measured in grams. 1 kilogram = 1000 grams. Therefore, one gram is thousandths part of one kilogram.

**Addition of Measured Masses**

**Addition by Conversion**

**Following steps are used for the addition of two or more masses:**

**Step 1:** Convert kilograms into grams by multiplying thousand.

**Step 2:** Add them by simple addition.

**Step 3:** Express resulting numbers in gram.

**The weights of three boys are 25 kg 400 grams, 30 kg 500 grams and 20 kg 234 grams. Find the total weight of the boys?**

(a) 76 kg 134 grams

(b) 78 kg 150 grams

(c) 70 kg 500 grams

(d) None of these

(e) All of these

** **

**Answer (a)**

**Explanation **

**Addition without Conversion**

The following steps are used for the addition of two or more masses:

**Step 1: ** Arrange vertically kg under kg and grams under grams of all the given masses.

**Step 2:** Add them by simple addition method starting from right.

**Step 3: ** If carry is generated then add generated carry to the next addition.

**Add the following weights without conversion: 32 kg 930 grams and 22 kg grams?**

(a) 55kg

(b) 78kg

(c) 70kg

(d) None of these

(e) All of these

** **

**Answer (a) **

** **

**Explanations:**

**Subtraction of Measured Masses**

**Subtraction by Conversion**

The following steps are used for finding the difference between two masses:

**Step 1:** Convert the masses into grams.

**Step 2:** Subtract the smaller mass from bigger mass.

**Step 3:** Express the resulting numbers in grams.

**The weight of an unloaded truck is 1120 kg and its weight is increased by 2230 kg 560 grams on loading iron rods and cements. If the weight of iron rods is 1123 kg 300 grams then find the weight of cements in the loaded truck.**

(a) 1176 kg 176 grams

(b) 1107 kg 260 grams

(c) 1170 kg 500 grams

(d) none of these

(e) All of these

** **

**Answer (b)**

**Explanations**

Weight of cements in the loaded truck

= 1107 kg 260 grams.

**Subtraction without Conversion**

**The following steps are used for the subtraction of masses:**

**Step 1:** Arrange vertically kg under kg and grams under grams of the givenmasses.

**Step 2: ** Subtract smaller from bigger mass starting from right or grams.

**Step 3 ** Take borrow if required.

**Subtract the weight of a boy 25 kg 300 grams from the weight of a man 55 kg 100 grams.**

(a) 17 kg 7 grams

(b) 10 kg 6 grams

(c) 29 kg 800 grams

(d) none of these

(e) All of these

** **

**Answer (c)**

**Explanation **

**Multiplication of Measured Masses**

The following steps are used for finding the product:

**Step 1: ** Arrange the masses vertically.

**Step 2: ** Multiply the masses by simple multiplication from right or grams.

**Step 3: ** first three digits from the right of the product is in grams and remaining numbers are in kilograms.

**The weight of a cartoon of apple is 22 kg 320 grams. What will be the weight of 16 such cartoons?**

(a) 176 kg 76 grams

(b) 107 kg 60 grams

(c) 357 kg 120 grams

(d) none of these

(e) All of these

** **

**Answer (c)**

**Explanation:**

= 357 kg 120 grams.

**Division of Measured Masses**

Following steps are used or the division:

**Step 1: **Arrange the measured mass in division.

**Step 2: **Divide by simple division method.

**Step 3: **Quotient is the division of the mass.

**The weight of an iron ball is 30 kg 51 grams. Find the third part of total weight of the ball?**

(a) 10 kg 17 grams

(b) 10 kg 60 grams

(c) 7 kg 12 grams

(d) none of these

(e) All of these

** **

**Answer (a)**

**Explanation **

**Third part of the ball is obtained by dividing the weight of the ball by 3**

= 10 kg 17 grams.

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