10th Class Maths: Division and Multiplication
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Questions and Answers

What is $990 ÷ 55$?

18

What is $6 ÷ 100$?

0.06

What is $126 × 6$?

756

What is $67 × 82$?

<p>5,494</p> Signup and view all the answers

What is $\frac{3}{5} × \frac{1}{5}$?

<p>\frac{3}{25}</p> Signup and view all the answers

What is $\frac{1}{2} × \frac{5}{9}$?

<p>\frac{5}{18}</p> Signup and view all the answers

Estimate the answer for $\frac{9}{10} - \frac{1}{9}$.

<p>1</p> Signup and view all the answers

What is $500 × 10$?

<p>5,000</p> Signup and view all the answers

What is $56 × 71$?

<p>3,976</p> Signup and view all the answers

What is $300 × 90$?

<p>2,700</p> Signup and view all the answers

What is $\frac{2}{5} × 60$?

<p>24</p> Signup and view all the answers

What is $\frac{2}{9} × 45$?

<p>10</p> Signup and view all the answers

What is $\frac{3}{4} × 36$?

<p>27</p> Signup and view all the answers

What is $\frac{5}{6} × 36$?

<p>30</p> Signup and view all the answers

Which is greater, $\frac{9}{10}$ or $\frac{8}{9}$?

<p>$\frac{9}{10}$</p> Signup and view all the answers

Which is greater, $\frac{5}{6}$ or $\frac{3}{4}$?

<p>$\frac{5}{6}$</p> Signup and view all the answers

Which is greater, $\frac{3}{8}$ or $\frac{5}{8}$?

<p>$\frac{5}{8}$</p> Signup and view all the answers

Which is greater, $\frac{1}{7}$ or $\frac{1}{8}$?

<p>$\frac{1}{7}$</p> Signup and view all the answers

What can I divide by to simplify $\frac{12}{15}$?

<p>3</p> Signup and view all the answers

What is the multiplier to get from $\frac{2}{3}$ to $\frac{20}{30}$?

<p>10</p> Signup and view all the answers

What is my divisor in $\frac{25}{60} = \frac{5}{12}$?

<p>5</p> Signup and view all the answers

How can I simplify the fraction $\frac{12}{20}$?

<p>4</p> Signup and view all the answers

What is $\frac{1}{11} ÷ 3$?

<p>$\frac{1}{33}$</p> Signup and view all the answers

What is $\frac{1}{12} ÷ 5$?

<p>$\frac{1}{60}$</p> Signup and view all the answers

What is $6 ÷ \frac{1}{3}$?

<p>18</p> Signup and view all the answers

What is $7 × \frac{1}{8}$?

<p>$\frac{7}{8}$</p> Signup and view all the answers

What is $\frac{2}{3} × \frac{5}{7}$?

<p>$\frac{10}{21}$</p> Signup and view all the answers

What is $\frac{1}{5} × 12$?

<p>2 and 2/5</p> Signup and view all the answers

If Camryn packs 4 gift boxes that weigh $\frac{1}{6}$ pound altogether, what does each box weigh?

<p>$\frac{1}{24}$ pound</p> Signup and view all the answers

How much does Kaspian earn from walking the neighbor's dog if he earns $40 monthly?

<p>$480</p> Signup and view all the answers

What is $\frac{1}{4} ÷ 3$?

<p>$\frac{1}{12}$</p> Signup and view all the answers

What is $\frac{1}{4} × 3$?

<p>$\frac{3}{4}$</p> Signup and view all the answers

Estimate $\frac{13}{14} + \frac{3}{4}$ using benchmarks.

<p>1 and 1/2 or 2</p> Signup and view all the answers

What is $134 × 5$?

<p>670</p> Signup and view all the answers

What is $4,507 × 3$?

<p>13,521</p> Signup and view all the answers

What is $1 and 1/8 + 4 and 2/3$?

<p>5 and 19/24</p> Signup and view all the answers

What is $4 - 2 and 2/5$?

<p>1 and 3/5</p> Signup and view all the answers

What is $5 and 2/7 + 5 and 11/14$?

<p>11 and 1/14</p> Signup and view all the answers

What is $6 and 1/4 - 4 and 5/6$?

<p>1 and 5/12</p> Signup and view all the answers

Is the answer to $\frac{7}{8} × 9$ greater or smaller than $\frac{7}{8}$?

<p>Greater</p> Signup and view all the answers

What is $10^{3}$?

<p>1,000</p> Signup and view all the answers

What is $3×10^{2}$?

<p>300</p> Signup and view all the answers

Use the Distributive Property to rewrite: $7 × 200 + 7 × 800$.

<p>7 × (200 + 800)</p> Signup and view all the answers

What is $\frac{5}{8} × \frac{6}{7}$ simplified?

<p>$\frac{15}{28}$</p> Signup and view all the answers

What is $\frac{2}{3} × \frac{15}{16}$ simplified?

<p>$\frac{5}{8}$</p> Signup and view all the answers

Complete the equations: $0.7 × 10^{1} =$, $0.7 × 10^{2} =$, $0.7 × 10^{3} =$

<p>0.7 × 10^{1} = 7, 0.7 × 10^{2} = 70, 0.7 × 10^{3} = 700</p> Signup and view all the answers

Complete the equations: $5.63 × 10^{1} =$, $5.63 × 10^{2} =$, $5.63 × 10^{3} =$

<p>5.63 × 10^{1} = 56.3, 5.63 × 10^{2} = 563, 5.63 × 10^{3} = 5,630</p> Signup and view all the answers

What is $\frac{1}{6} + \frac{2}{3}$?

<p>$\frac{5}{6}$</p> Signup and view all the answers

What is $\frac{3}{16} - \frac{1}{8}$?

<p>$\frac{1}{16}$</p> Signup and view all the answers

What is $\frac{3}{4} - \frac{5}{8}$?

<p>$\frac{1}{8}$</p> Signup and view all the answers

What is $\frac{3}{5} + \frac{1}{4}$?

<p>$\frac{17}{20}$</p> Signup and view all the answers

What is $3.3 × 0.78$?

<p>2.574</p> Signup and view all the answers

What is $0.4 + 0.08$?

<p>0.48</p> Signup and view all the answers

What is $0.45 + 0.77$?

<p>1.22</p> Signup and view all the answers

What is $6.9 - 3.44$?

<p>3.46</p> Signup and view all the answers

What is $7 - 2.2$?

<p>4.8</p> Signup and view all the answers

What is $5.7 - 0.9$?

<p>4.8</p> Signup and view all the answers

Complete the pattern: $5 × 10^{1} = $, $5 × 10^{2} = $, $5 × 10^{3} = $

<p>5 × 10^{1} = 50, 5 × 10^{2} = 500, 5 × 10^{3} = 5,000</p> Signup and view all the answers

What is $199 × 6$?

<p>1,194</p> Signup and view all the answers

What is $200 × 70$?

<p>14,000</p> Signup and view all the answers

What is $2,114 ÷ 3$?

<p>704 R2 or 704 and 2/3</p> Signup and view all the answers

What is $9/100$ in decimal form?

<p>0.09</p> Signup and view all the answers

Study Notes

Division Problems

  • 990 divided by 55 equals 18.
  • 6 divided by 100 equals 0.06.
  • 1/11 divided by 3 equals 1/33.
  • 1/12 divided by 5 equals 1/60.
  • 6 divided by 1/3 equals 18.

Multiplication Problems

  • 126 multiplied by 6 equals 756.
  • 67 multiplied by 82 equals 5,494.
  • 500 multiplied by 10 equals 5,000.
  • 56 multiplied by 71 equals 3,976.
  • 300 multiplied by 90 equals 2,700.
  • 2/3 multiplied by 5/7 equals 10/21.
  • 1/5 multiplied by 12 equals 2 and 2/5.
  • 134 multiplied by 5 equals 670.
  • 4,507 multiplied by 3 equals 13,521.
  • 10 raised to the power of 3 equals 1,000.
  • 3 multiplied by 10 squared equals 300.

Fractions and Simplification

  • 3/5 multiplied by 1/5 equals 3/25.
  • 1/2 multiplied by 5/9 equals 5/18.
  • 2/5 multiplied by 60 equals 24.
  • 2/9 multiplied by 45 equals 10.
  • 3/4 multiplied by 36 equals 27.
  • 5/6 multiplied by 36 equals 30.
  • Simplifying 12/15 by dividing by 3 results in 4/5.
  • Simplifying 12/20 by dividing by 4 gives 3/5.
  • To get from 2/3 to 20/30, multiply by 10.
  • The divisor to simplify 25/60 to 5/12 is 5.

Addition and Subtraction of Fractions

  • 1/4 divided by 3 equals 1/12.
  • 1/4 multiplied by 3 equals 3/4.
  • 1 and 1/8 plus 4 and 2/3 equals 5 and 19/24.
  • 4 minus 2 and 2/5 equals 1 and 3/5.
  • 5 and 2/7 plus 5 and 11/14 equals 11 and 1/14.
  • 6 and 1/4 minus 4 and 5/6 equals 1 and 5/12.
  • 1/6 plus 2/3 equals 5/6.
  • 3/16 minus 1/8 equals 1/16.
  • 3/4 minus 5/8 equals 1/8.
  • 3/5 plus 1/4 equals 17/20.

Estimation and Comparison

  • Estimate for 9/10 minus 1/9 rounds to 1.
  • 9/10 is greater than 8/9.
  • 5/6 is greater than 3/4.
  • 5/8 is greater than 3/8.
  • 1/7 is greater than 1/8.
  • 7/8 multiplied by 9 is greater than 7/8.

Decimal Operations

  • 3.3 multiplied by 0.78 equals 2.574.
  • 0.4 plus 0.08 equals 0.48.
  • 0.45 plus 0.77 equals 1.22.
  • 6.9 minus 3.44 equals 3.46.
  • 7 minus 2.2 equals 4.8.
  • 5.7 minus 0.9 equals 4.8.
  • 9/100 is equal to 0.09.

Patterns and Series

  • Completing patterns with powers of 10:
    • 5 multiplied by 10 raised to 1 equals 50,
    • 5 multiplied by 10 squared equals 500,
    • 5 multiplied by 10 cubed equals 5,000.
  • 0.7 multiplied by powers of 10:
    • 0.7 x 10 raised to 1 equals 7,
    • 0.7 x 10 squared equals 70,
    • 0.7 x 10 cubed equals 700.
  • 5.63 multiplied by powers of 10:
    • 5.63 x 10 raised to 1 equals 56.3,
    • 5.63 x 10 squared equals 563,
    • 5.63 x 10 cubed equals 5,630.

Remainders and Mixed Numbers

  • 2,114 divided by 3 equals 704 remainder 2 or 704 and 2/3.
  • Camryn packs gift boxes weighing 1/6 pound, so each box weighs 1/24 pound.
  • Kaspian earns $40 monthly for dog walking, totaling $480 for the year.

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Description

Test your understanding of division and multiplication problems, covering a variety of examples from basic arithmetic to fractions. This quiz includes simplification techniques and exponentiation as you navigate through different scenarios. Perfect for reinforcing skills in a 10th-grade mathematics curriculum.

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