Aimathic – Division fact fluency – Free Math Worksheets

Division fact fluency

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Difficulty: 1 – 5

5184333

Find each quotient. $27 \div 9$; $54 \div 9$; $81 \div 9$; $18 \div 9$; $45 \div 9$ $72 \div 9$; $63 \div 9$; $36 \div 9$; $9 \div 9$; $90 \div 9$

Hints

- Find the related multiplication fact. - Recall the 9s multiplication facts. - How many groups of $9$ make the dividend?

Solution

1. The first row gives $27 \div 9 = 3$, $54 \div 9 = 6$, $81 \div 9 = 9$, $18 \div 9 = 2$, and $45 \div 9 = 5$. 2. The second row gives $72 \div 9 = 8$, $63 \div 9 = 7$, $36 \div 9 = 4$, $9 \div 9 = 1$, and $90 \div 9 = 10$.

Answer

$3; 6; 9; 2; 5; 8; 7; 4; 1; 10$

5179343

The list is $14, 16, 24, 30, 32, 42, 48, 54, 56, 64, 72, 80$. Which numbers can be divided by $8$ with no remainder?

Hints

- Recall the 8s multiplication facts. - Check whether each number is a product in the 8s facts. - Could the number be separated into $8$ equal groups with nothing left over?

Solution

1. Check which numbers are products in the 8s facts. 2. The exact division facts are $16 \div 8 = 2$, $24 \div 8 = 3$, $32 \div 8 = 4$, $48 \div 8 = 6$, $56 \div 8 = 7$, $64 \div 8 = 8$, $72 \div 8 = 9$, and $80 \div 8 = 10$. 3. The other listed numbers leave a remainder when divided by $8$.

Answer

$16, 24, 32, 48, 56, 64, 72, 80$

5185153

Check each equation. Two are incorrect. Find them and write the corrected equations. a) $42\,\text{lb} \div 6 = 7\,\text{lb}$ b) $54\,\text{ft} \div 9 = 7\,\text{ft}$ c) $32\,\text{cups} \div 4 = 8\,\text{cups}$ d) $48\,\text{in.} \div 8 = 6\,\text{in.}$ e) $\$63 \div 7 = \$8$

Hints

- Use multiplication to check each division equation. - Which number multiplied by the divisor equals the dividend? - Recall the matching multiplication fact.

Solution

1. Part a is correct because $42 \div 6 = 7$. 2. Part b is incorrect because $54 \div 9 = 6$. The correction is $54\,\text{ft} \div 9 = 6\,\text{ft}$. 3. Part c is correct because $32 \div 4 = 8$. 4. Part d is correct because $48 \div 8 = 6$. 5. Part e is incorrect because $63 \div 7 = 9$. The correction is $\$63 \div 7 = \$9$.

Answer

b) $54\,\text{ft} \div 9 = 6\,\text{ft}$ e) $\$63 \div 7 = \$9$

5205893

Find the quotient of $42$ and $7$. Write the complete equation.

Hints

- Translate “quotient” into division. - Use the related multiplication fact. - Write the expression and its value as an equation.

Solution

1. “Quotient” indicates division. 2. Write the division expression $42 \div 7$. 3. Since $7 \times 6 = 42$, $42 \div 7 = 6$.

Answer

$42 \div 7 = 6$

5185163

Which expressions have results with the same numerical value? Evaluate each expression and name the matching letters. A) $56\,\text{oz} \div 7$ B) $72\,\text{min} \div 9$ C) $24\,\text{cups} \div 3$ D) $\$45 \div 5$ E) $64\,\text{ft} \div 8$

Hints

- Evaluate each expression separately. - Write the numerical result next to each letter. - Compare the numerical values after all five divisions are complete.

Solution

1. A gives $56 \div 7 = 8$. 2. B gives $72 \div 9 = 8$. 3. C gives $24 \div 3 = 8$. 4. D gives $45 \div 5 = 9$. 5. E gives $64 \div 8 = 8$. 6. The numerical value is $8$ for A, B, C, and E.

Answer

A, B, C, and E; each result has a numerical value of $8$.

5185353

Evaluate mentally, and then write $<$, $>$, or $=$. a) $32 \div 4 \; \square \; 18 \div 2$ b) $45 \div 5 \; \square \; 54 \div 6$ c) $21 \div 3 \; \square \; 28 \div 7$ d) $40 \div 8 \; \square \; 30 \div 5$ e) $72 \div 9 \; \square \; 64 \div 8$

Hints

- Evaluate the left expression first. - Then evaluate the right expression. - Compare the two quotients.

Solution

1. $32 \div 4 = 8$ and $18 \div 2 = 9$, so $8 < 9$. 2. $45 \div 5 = 9$ and $54 \div 6 = 9$, so $9 = 9$. 3. $21 \div 3 = 7$ and $28 \div 7 = 4$, so $7 > 4$. 4. $40 \div 8 = 5$ and $30 \div 5 = 6$, so $5 < 6$. 5. $72 \div 9 = 8$ and $64 \div 8 = 8$, so $8 = 8$.

Answer

a) $<$ b) $=$ c) $>$ d) $<$ e) $=$

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