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Arithmetic forms the cornerstone of mathematics, covering essential operations like addition, subtraction, multiplication and division. Our Arithmetic Homework Bank offer... Load more Hide more

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aet bomowed R1 200 at \( 5 \% \) p.a. simple interest for 6 the How much interest did she have to pay? How much dici she have to mav back in totat?
South Africa Jan 21, 2025
4. Write the following numbers: \( \begin{array}{ll}\text { a) } 5 \text { more than } 9999 & \text { b) } 6 \text { less than } 10004 \\ \text { c) } 40 \text { more than } 9980 & \text { d) } 8 \text { less than } 10181 \\ \text { e) } 8 \text { more than } 99999 & \text { f) } 9 \text { less than } 100005 \\ \text { g) } 200 \text { more than } 99998 & \text { h) } 150 \text { less than } 100102 \\ \text { i) } 300 \text { less than } 990000 & \text { j) } 10000 \text { less than } 890 \\ \text { k) } 1000 \text { more than } 99999 & \text { i) } 2000 \text { less than } 200\end{array} \)
South Africa Jan 21, 2025
\( \begin{array}{ll}\text { (4) } 20000: ?=1000: 1 & \text { (5) } \\ \text { (7) } & 8 \mathrm{~cm}: 1 \mathrm{~m}=?: 250 \\ \text { (8) } & 8 \mathrm{~cm}: m \mathrm{~g}=40: 1\end{array} \) (7) ? \( 0,2=7: 6 \) \( (8) \) \( =1: ? \) (10) (11) 20 seconds : 2 minutes \( =1: 2 \) Divide the number 720 into the following ratios: (1) \( 5: 4 \) (2) \( 1: 9 \) (3) \( 2: 1: 3 \) Divide each of the following numbers in a ratio of \( 5: 3 \) : (3) 100 (1) 80 (2) 176 Divide the following numbers in a ratio \( 1: 5: 5 \) : (3) 253 (I) 11 (2) 33
South Africa Jan 21, 2025
(b) \[ \begin{array}{l} \Delta \times 12=36 \\ \therefore 36 \div 12=\Delta \end{array} \] The value of \( \Delta \) is 3 . The inverse operation of multiplication is division. EXERCISE 1.1 operations: (1) \( 3+6+2 \) (2) \( 5+6-4 \) (3) \( 6-4+9 \) (4) \( 8-6-2 \) (5) \( 6 \times 2 \times 3 \) (6) \( 12 \div 2 \div 3 \) (7) \( 18 \div 9 \times 2 \) (8) \( 9 \times 2 \div 6 \) (9) \( 3+6 \times 2 \) (10) \( 3+6 \div 3 \) (11) \( 3 \times 6+2 \) (12) \( 6 \div 3+2 \) (13) \( 5+7 \times 2-3 \) (14) \( 18 \div 6 \times 3+4 \times 8 \div 2 \) (15) \( \quad(4+7) \times 2 \) (16) \( (3+9) \div 4 \) (17) \( 8 \times(6-2) \) (18) \( 24 \div(8+4) \) (19) \( 15-(6-1) \) (20) \( 22-10 \div(5-3) \) (21) \( (7+3) \times 2-16 \div 4 \) (22) \( 32-20 \div 2+(7-2) \times 7-2 \) G801 008 008 (23) \( 4+(18-3 \times 2) \div 4 \) (24) \( 19-2 \times(7+24 \div 12)+3 \) (b) Without using a calculator, calculate the following using the correct order of operations: (1) \( 9+[(4+3 \times 6)-14 \div 7]-5 \times 3+1 \) (2) \( 27-\{3+[17-(25 \div 5)]\} \) G801 010
South Africa Jan 21, 2025
The legal driving time for truckers is 11 -14 hours per day. To be safe, you only want to drive 12 hours per day. How many total driving hours do you have available for your 3 - day road trip? A 24 hours B 48 hours C 12 hours D 36 hours
United States Jan 21, 2025
3. Classify each number below as an integer, fraction, mixed number decimal number: \( \begin{array}{ll}\text { a) } \frac{125}{500} & \text { b) }-0,67 \\ \text { c) } 5416 & \text { d) } 6 \frac{2}{5} \\ \text { e) } \frac{18}{45} & \text { f) } 0,375 \\ \text { g) } 1,397 & \text { h) }-5 \frac{7}{9}\end{array} \)
South Africa Jan 21, 2025
Find 3 ratios that are equivalent to the given ratio. \( 35: 40 \) Find three ratios that are equivalent to the given ratio. \( \begin{array}{ll}\square \text { A. } 7: 80 & \square \text { B. } 105: 8 \\ \square \text { C. } 7: 120 & \square \text { D. } 70: 8 \\ \square \text { E. } 7: 8 & \square \text { F. } 70: 120 \\ \text { G. } 105: 120 & \square \text { H. } 70: 80\end{array} \)
United States Jan 21, 2025
Rani berlari mengelilingi lapangan sebanyak 5 putaran. Jarak satu putaran adalah 325 meter. Rani ingin berlari dengan jarak 3 km . Berapa jauh lagi Rani harus berlari? Tulislah dalam satuan km dan m
Indonesia Jan 21, 2025
2a) Round off to the nearest 10 i) \( 899 \rightarrow \) ii) \( 1201 \rightarrow \) ii) \( 454882 \rightarrow \) id) \( 209 \rightarrow \)
South Africa Jan 21, 2025
Find 3 ratios that are equivalent to the given ratio. \( \begin{array}{ll}\frac{5}{4} \\ \text { Find three ratios that are equivalent to the given ratio. } \\ \square \text { A. } \frac{20}{16} & \square \text { B. } \frac{20}{12} \\ \square \text { C. } \frac{15}{8} & \square \text { D. } \frac{15}{12} \\ \square \text { E. } \frac{10}{12} & \square \text { F. } \frac{10}{16} \\ \square \text { G. } \frac{10}{8} & \square \text { H. } \frac{15}{16}\end{array} \)
United States Jan 21, 2025
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The Basics of Arithmetic: Sequences, Functions, and Solutions

What is arithmetic?

Arithmetic, in mathematics, is the study of fundamental operations like addition, subtraction, multiplication, and division. In particular, in the context of sequences, an arithmetic sequence is a list of numbers whereby every term following the first is derived by adding a constant difference to the one before it. For instance, the difference between successive terms in the sequence 3, 7, 11, 15 always is 4. We call this continuous difference the common difference.

Does an arithmetic function have a constant rate of change?

Yes! An arithmetic sequence or function always has a constant rate of change. This is because the difference between consecutive terms remains the same. This constant change is called the "common difference" and is a defining feature of arithmetic sequences. Whether the terms are increasing or decreasing, the change between terms remains fixed.

What is the explicit formula of the arithmetic sequence?

The explicit formula for an arithmetic sequence allows you to calculate any term in the sequence without needing to know the previous terms. The formula is given by:


\(a_n = a + (n - 1) \cdot d\)


Where:

- \(a_n\) is the nth term of the sequence,

- \(a\) is the first term,

- \(n\) is the position of the term (e.g., 1st, 2nd, 3rd, etc.),

- \(d\) is the common difference.


This formula is incredibly useful when you're asked to find specific terms in an arithmetic sequence, especially when the sequence has many terms.

How can UpStudy Arithmetic Homework Bank help you?

For students who want to grasp mathematical concepts and do well on their assignments, the UpStudy Arithmetic Homework Bank is a priceless tool. It can help you in the following ways:


Actual Homework Questions

Real homework problems from students are gathered by the UpStudy Arithmetic Homework Bank, giving you practice problems that closely resemble the kinds of issues you'll face in your education. Working on real-world situations provides you the advantage of being well-prepared for tests and assignments.


Methodical Solution

Each issue is divided into simple, understandable steps. UpStudy walks you through every step so you completely comprehend the process, whether you're trying to solve difficult word problems, determine the common difference, or identify the nth term of an arithmetic series.

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