Common misconceptions › Class 7 › Maths › Arithmetic Expressions Class 7 Maths · Chapter 2 · NCERT (gegp102)
Arithmetic Expressions: common misconceptions
See the tempting mistake students make in Arithmetic Expressions, why it feels right at first glance, and a worked visual example that shows the right idea.
Worked visual “If your child says…” (8) Teach & practice The tempting mistake & worked visual Must every operation be done left to right? Wrong
8 + 2 × 3 = 30
Why it feels right. I started with the first operation I saw.
Right
Multiplication takes precedence over addition here.
Worked example
The brackets change what gets repeated three times. Two groups of 3 give 6. Add 8 to get 14. The expression (8 + 2) × 3 represents 30. If your child says… (8 concept checks in this chapter)
As you work through Arithmetic Expressions , listen for these everyday misunderstandings and use the prompt alongside each one.
If your child says…
“Equals means the answer comes next.”
Ask together Could either spoon grouping go on the left of equals? What’s true Equals connects complete sides with matching values. If your child says…
“The expression with the biggest number must win.”
Ask together Which arrow lands farther right on the number line? What’s true The numbers and operations together determine each expression’s value. If your child says…
“Both rows gain one, so the difference grows by two.”
Ask together Does the added pair leave any extra chickpeas unmatched? What’s true Equal increases in both amounts leave their difference unchanged. If your child says…
“I can leave the brackets until last.”
Ask together Are we doubling just three, or the sum of two and three? What’s true The bracketed group must be ready before its value is used outside. If your child says…
“Two and three are separate terms.”
Ask together Are we adding two and three separately, or using their product? What’s true A multiplication supplies one value, so its factors stay together. If your child says…
“I can move the number and leave its minus behind.”
Ask together If negative two became positive two, would the pair still cancel? What’s true A term keeps its sign when you move it. If your child says…
“I change only the first sign after the minus.”
Ask together If you removed two more, would you have taken away less than five? What’s true Subtracting a bracketed group reverses every internal sign when the brackets are removed. If your child says…
“I multiply only the first number inside.”
Ask together Do both rows contain the group of two? What’s true Every part belongs to each copy of the group. Use this chapter three ways Previous chapter Large Numbers Around Us Next chapter A Peek Beyond the Point
In the app, your child answers a short check-in with confidence taps, and you see which of these misunderstandings showed up—and which ones are gone.
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