Mathematics
Grade 7
15 min
Multiply by 1-digit numbers: word problems
Multiply by 1-digit numbers: word problems
Tutorial Preview
1
Introduction & Learning Objectives
Learning Objectives
Identify keywords and phrases in word problems that indicate multiplication by a 1-digit number.
Translate real-world scenarios into mathematical expressions involving 1-digit multiplication.
Accurately perform multiplication of multi-digit numbers by a single-digit factor.
Apply a systematic problem-solving strategy to solve word problems involving 1-digit multiplication.
Estimate and check the reasonableness of their answers to word problems.
Clearly state the solution to a word problem, including appropriate units.
Ever wonder how many cookies you'd need for a party if each guest eats a certain number? 🍪 Solving real-world math problems often starts with understanding the words!
In this lesson, we'll sharpen our skills in tackling word prob...
2
Key Concepts & Vocabulary
TermDefinitionExample
Word ProblemA mathematical problem presented in a narrative or descriptive form, requiring interpretation to translate into a numerical calculation.If a baker makes 5 cakes each day, how many cakes does he make in 7 days?
MultiplicationA mathematical operation that represents repeated addition of the same number. It combines two numbers (factors) to get a product.3 x 4 means 3 groups of 4, or 4 + 4 + 4, which equals 12.
1-Digit NumberAny whole number from 0 to 9. In multiplication, this refers to the factor that has only one digit.In 25 x 7, '7' is the 1-digit number.
Keywords for MultiplicationWords or phrases in a word problem that often indicate the need for multiplication, such as 'times', 'each', 'per', 'of', �...
3
Core Formulas
Multiplication Operation
$a \times b = c$
This fundamental rule states that multiplying a number 'a' by a number 'b' gives a product 'c'. In our context, 'b' will be a 1-digit number. This represents 'a' groups of 'b' or 'b' groups of 'a'.
Word Problem Solving Strategy (UPS Check)
1. **Understand**: Read the problem carefully, identify what is known and what needs to be found.
2. **Plan**: Determine the operation(s) needed (in this case, multiplication), and write down a plan or equation.
3. **Solve**: Execute the plan, perform the calculations accurately.
4. **Check**: Review your answer. Does it make sense? Is it reasonable? Did you include units?
This systematic approach helps break down co...
5 more steps in this tutorial
Sign up free to access the complete tutorial with worked examples and practice.
Sign Up Free to ContinueSample Practice Questions
Challenging
A school's Parent-Teacher Association buys 8 cases of water bottles for a sports day. Each case has 24 bottles. They also buy 5 large jugs of juice. After the event, 15 water bottles are left over. How many water bottles were consumed?
A.192 bottles
B.177 bottles
C.211 bottles
D.172 bottles
Challenging
A problem states: "A factory machine produces 1,048 widgets per hour. How many does it produce in a 9-hour shift?" Which of the following statements is the MOST accurate analysis of the solution process?
A.The answer must be less than 9,000 because 1,000 × 9 = 9,000 and 1,048 is a little more.
B.An estimate of 1,000 × 9 = 9,000 is a good starting point, and the exact answer will be slightly higher.
C.Adding 1,048 + 9 is the most efficient way to solve the problem.
D.The problem cannot be solved without knowing the number of defective widgets.
Challenging
A fundraising team needs to raise $700. They sell 9 boxes of chocolate bars, with each box containing 36 bars. If they make a profit of $2 on each bar, have they met their goal?
A.No, they are short by $52.
B.Yes, they exceeded their goal by $52.
C.Yes, they raised exactly $700.
D.No, they are short by $376.
Want to practice and check your answers?
Sign up to access all questions with instant feedback, explanations, and progress tracking.
Start Practicing Free