Math  /  Numbers & Operations

Question4. If 201×61=12261201 \times 61=12261, what is 2.01×6.12.01 \times 6.1 equal to? A. 1226.1 B. 122.61 C. 12.261
5. If a meter of cloth cost P88.50, how much would 5.5 mcos5.5 \mathrm{~m} \cos ? A. P575. 25 D. 1.2281 B. P486 75 C. P398.25
6. What is the area of a rectangular garden with a length of 3.25 m and a vidh of 115 m ? D. P309 75 A. 4.4 m24.4 \mathrm{~m}^{2} B. 3.7375 m23.7375 \mathrm{~m}^{2} C. 27275 m227275 \mathrm{~m}^{2} D. 2.1 m22.1 \mathrm{~m}^{2}
7. Carlo bought a dozen of ballpen at P6 75 each. How much did he pay? A. P6.75 B. P47.25 C. P6 50 D. P81.00

Studdy Solution

STEP 1

1. We will solve each problem individually.
2. Each problem involves basic arithmetic operations like multiplication and division.
3. Accurate multiplication and addition are necessary for each solution.

STEP 2

1. Solve for 2.01×6.12.01 \times 6.1.
2. Calculate the cost of 5.5 m5.5 \mathrm{~m} of cloth at P88.50 per meter.
3. Find the area of a rectangular garden with given dimensions.
4. Determine the total cost Carlo paid for a dozen ballpens at P6.75 each.

STEP 3

To solve 2.01×6.12.01 \times 6.1, note that we know 201×61=12261201 \times 61 = 12261.
201×61=12261 201 \times 61 = 12261

STEP 4

Since 2.012.01 is 201201 divided by 100100, and 6.16.1 is 6161 divided by 1010, we can use:
2.01×6.1=201100×6110 2.01 \times 6.1 = \frac{201}{100} \times \frac{61}{10}

STEP 5

Simplify the multiplication:
201×611000=122611000=12.261 \frac{201 \times 61}{1000} = \frac{12261}{1000} = 12.261
Therefore, 2.01×6.1=12.2612.01 \times 6.1 = 12.261.

STEP 6

To solve for the cost of 5.5 m5.5 \mathrm{~m} of cloth at P88.50 per meter, use multiplication.
5.5×88.50 5.5 \times 88.50

STEP 7

Break down the multiplication for easier calculation:
5.5×88.50=5.5×(88+0.50)=(5.5×88)+(5.5×0.50) 5.5 \times 88.50 = 5.5 \times (88 + 0.50) = (5.5 \times 88) + (5.5 \times 0.50)

STEP 8

Calculate each term separately:
5.5×88=484 5.5 \times 88 = 484 5.5×0.50=2.75 5.5 \times 0.50 = 2.75

STEP 9

Add the results to get the total cost:
484+2.75=486.75 484 + 2.75 = 486.75
Therefore, the cost of 5.5 m5.5 \mathrm{~m} of cloth is P486.75.

STEP 10

To find the area of a rectangular garden with a length of 3.25 m3.25 \mathrm{~m} and a width of 1.15 m1.15 \mathrm{~m}, use the formula for area:
Area=length×width \text{Area} = \text{length} \times \text{width}

STEP 11

Plug in the values:
Area=3.25×1.15 \text{Area} = 3.25 \times 1.15

STEP 12

Perform the multiplication:
3.25×1.15=3.7375 3.25 \times 1.15 = 3.7375
Therefore, the area is 3.7375 m23.7375 \mathrm{~m}^2.

STEP 13

To determine the total cost Carlo paid for a dozen ballpens at P6.75 each, use multiplication.
Cost=12×6.75 \text{Cost} = 12 \times 6.75

STEP 14

Perform the multiplication:
12×6.75=81.00 12 \times 6.75 = 81.00
Therefore, Carlo paid P81.00 for the dozen ballpens.
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