We will learn how to multiply and divide of units of measurement.

We carry out multiplication and division of measurements as we do for decimal numbers.

**Multiplication
of Units of Length:**

We can multiply lengths by a number like multiplication of ordinary numbers.

**1. Multiply 12 km 56 m by 7.**

**Solution: **

12 km 56 m = 12.056 m

Hence, 12.056 × 7 = 84.392 km

**2. Multiply 44 dam 28 cm by 12**

**Solution:**

28 cm = 0.28 m

1 dam = 10 m

28 cm = 0.028 dam

Hence, 44 dam 28 cm × 12 = 528.336

**3. Multiply 7 km 346 m by 6**

**Solution:**

**We first convert km and m into m and then multiply.**

To convert 44076 m to km we separate the last 3 digits from the right and write there as m.

44076 m = 44 km 76 m

Hence, 7 km 346 m by 6 =44 km 76 m

**Multiplication of Units of Mass:**

**4. Multiply 15 g 16 mg by 25**

**Solution:**

16 mg = \(\frac{16}{1000}\) g

15 g 16 mg = 15.016 g

Hence, 15 g 16 mg × 25 = 375.4 g

**Multiplication of Units of Capacity:**

We can multiply the units of capacity measures l and ml by a number like ordinary numbers.

**5. Multiply 9 dℓ 72 mℓ by 6**

**Solution:**

72 mℓ = \(\frac{72}{100}\) dℓ = 0.72 dℓ

9 dℓ 72 mℓ = 9.72 dℓ

Hence, 9.72 dℓ × 6 = 58.32 dℓ

**2. Multiply 72 ℓ 250 mℓ by 6**

First convert 72 l 250 ml into ml. 72 l 250 ml = 72 × 1000 ml + 250 ml = 72000 ml + 250 ml = 72250 ml 72250 × 6 = 433500 ml = 433 l 500 ml |

Hence, 72 l 250 ml × 6 = 433 l 500 ml

**Division of Units of Length:**

We can divide lengths by a number like division of ordinary numbers. If the measurement is given as a combination of two units like km and m or m and cm, we first convert higher unit to lower unit and then divide.

**1. Divide 2 km 560 m unit by 8.**

**Solution:**

**Hence, 2 km 560 m ÷ 8 = 320 m**

**Division of Units of Capacity:**

We can divide units of capacity measures l and ml by a number like ordinary numbers.

**1. Divide 132 ℓ 64 dℓ by 8**

**Solution:**

64 dℓ = 6.4 ℓ

132 ℓ 64 dℓ = 138.4 ℓ

Hence, 138.4 ℓ ÷ 8 = 17.3 ℓ

**2. Divide 60 l 750 ml by 5**

When measurements are given as combination of two units, we first convert the bigger unit to lower unit and then divide. 60 l 750 ml = 60 l + 750 ml
= 60000 ml + 750 ml = 60750 ml Now divide 60750 by 5 60750 ÷ 5 = 12150 ml = 12000 ml + 150 ml = 12 l 150 ml |

Hence, 60 l 750 ml ÷ 5 = 12 l 150 ml

Questions and Answers on Multiplication and Division of Units of Measurement:

**1. Multiply the following metric measures of length.**

(i) 16 m by 7

(ii) 70 dm 4 cm by 24

(iii) 22 km by 10

(iv) 84 km 560 m by 51

(v) 34 cm by 25

(vi) 48 cm 9 mm by 62

(vii) 26 m 24 cm by 30

(viii) 80 m 5 cm by 10

**Answers:**

**1.** (i) 112 m

(ii) 1689 dm 6 cm

(iii) 220 km

(iv) 4312 km 560 m

(v) 850 cm

(vi) 3031 cm 8 mm

(vii) 78 m 720 cm

(viii) 800 m 50 cm

**2. Divide the following metric measures of length.**

(i) 240 km by 6

(ii) 14 km 580 m by 12

(iii) 36 m by 18

(iv) 50 cm 4 mm by 7

(v) 72 m by 8

(vi) 62 m 8 cm by 4

**Answers:**

**2.** (i) 40 km

(ii) 1 km 215 m

(iii) 2 m

(iv) 7 cm 2 mm

(v) 9 m

(vi) 15 m 52 cm

**3. Solve the given:**

(i) 56 km × 32

(ii) 32 km 124 m × 4

(iii) 30 m 75 cm ÷ 15

(iv) 47 cm 6 mm ÷ 20

(v) 66 dm 3 cm × 61

**Answers:**

**3.** (i) 1792 km

(ii) 128 km 496 m

(iii) 2 m 5 cm

(iv) 23 cm 8 mm

(v) 4044 dm 3 cm

**4. Multiply the following M****etric Measures of Capacity:**

(i) 5 l 750 ml × 4

(ii) 12 l 125 ml × 22

(iii) 13 l 124 ml × 10

(iv) 14 l 120 ml × 7

(v) 44 l 85 ml × 15

(vi) 18 l 33 ml × 51

**Answers:**

**4.** (i) 23 l

(ii) 266 l 750 ml

(iii) 131 l 240 ml

(iv) 98 l 840 ml

(v) 661 l 275 ml

(vi) 919 l 683 ml

Ron, Sam, Mary and Jack were given different measuring jars. All of them were asked to fill a 1 l Can using their jars. Find out how many times each one of them have to fill their jars and pours them in their Can.

**Answers:**

(i) 2 times

(ii) 5 times

(iii) 10 times

(iv) 20 times

**5th Grade Numbers****5th Grade Math Problems****From Multiplication and Division of Units of Measurement to HOME PAGE**

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