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(i) 4.3 xx 0.13 =? (ii) 1.12 xx 2.3 xx...

(i) 4.3 `xx` 0.13 =? (ii) 1.12 `xx` 2.3 `xx` 4.325 =?

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Let's solve the given questions step by step. ### Question (i): 4.3 `xx` 0.13 **Step 1:** Rewrite the numbers in fractional form. - \( 4.3 = \frac{43}{10} \) - \( 0.13 = \frac{13}{100} \) **Step 2:** Multiply the fractions. - \[ 4.3 \times 0.13 = \frac{43}{10} \times \frac{13}{100} = \frac{43 \times 13}{10 \times 100} \] **Step 3:** Calculate \( 43 \times 13 \). - \( 43 \times 13 = 559 \) **Step 4:** Substitute back into the fraction. - \[ \frac{559}{1000} \] **Step 5:** Convert to decimal form. - \[ \frac{559}{1000} = 0.559 \] ### Final Answer for (i): \[ 4.3 \times 0.13 = 0.559 \] --- ### Question (ii): 1.12 `xx` 2.3 `xx` 4.325 **Step 1:** Rewrite the numbers in fractional form. - \( 1.12 = \frac{112}{100} \) - \( 2.3 = \frac{23}{10} \) - \( 4.325 = \frac{4325}{1000} \) **Step 2:** Multiply the fractions. - \[ 1.12 \times 2.3 \times 4.325 = \frac{112}{100} \times \frac{23}{10} \times \frac{4325}{1000} \] **Step 3:** Combine the fractions. - \[ = \frac{112 \times 23 \times 4325}{100 \times 10 \times 1000} \] **Step 4:** Calculate \( 112 \times 23 \). - \( 112 \times 23 = 2576 \) **Step 5:** Now multiply \( 2576 \times 4325 \). - \( 2576 \times 4325 = 11141200 \) **Step 6:** Substitute back into the fraction. - \[ \frac{11141200}{1000000} \] **Step 7:** Convert to decimal form. - \[ \frac{11141200}{1000000} = 11.1412 \] ### Final Answer for (ii): \[ 1.12 \times 2.3 \times 4.325 = 11.1412 \] ---
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Knowledge Check

  • The value of (4-3 div 2 xx (4-2)-3 + 4 xx 3 div 2 + 4)/(4 + 3 div 4 xx (2-4) xx 4 + 3 div 4 of 3) is .............

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    B
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    C
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    D
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    C
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    D
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