NCERT Solutions for Class 5th Maths Chapter 9 Arrays of coconuts, and the rule N = D × Q — Division Facts

Book page 119 Updated on2026-09-19

Q1.
Observe the following array of coconuts. Write two division facts using the given multiplication fact. (The array shows 5 rows of 7 coconuts, and 5 × 7 = 35.)
Answer

35 ÷ 7 = 5  and  35 ÷ 5 = 7.

Look at the picture in your book. The coconuts are set out in 5 rows, with 7 coconuts in each row. Things set out in equal rows like this are called an array.

7 in each row 5 rows of coconuts 5 × 7 = 35 coconuts in all
The same 35 coconuts can be seen as 5 rows of 7, or as 7 columns of 5.

Now share those 35 coconuts, in two different ways.

  1. Make 7 groups — one group for each column. Each group has 5 coconuts. So 35 ÷ 7 = 5.
  2. Make 5 groups — one group for each row. Each group has 7 coconuts. So 35 ÷ 5 = 7.
Multiplication fact: 5 × 7 = 35

First division fact: 35 ÷ 7 = 5
35 split into 7 groups has 5 in each group

Second division fact: 35 ÷ 5 = 7
35 split into 5 groups has 7 in each group
Why it happens: Multiplying puts equal groups together. Dividing takes them apart again. The same three numbers 5, 7 and 35 are used both times — only the job changes.
The book's names for the three numbers: the number being shared is the dividend (N), the number of groups is the divisor (D), and the answer is the quotient (Q). The rule is N = D × Q. Here 35 = 5 × 7. ✓
Q2.
Think and answer: 35 ÷ 1 = ______
Answer

35 ÷ 1 = 35.

Picture it first. You have 35 coconuts and you must share them into 1 group. Nothing is taken away — all 35 coconuts go into that one group.

35 ÷ 1 = 35

Check by multiplying back:
N = D × Q
1 × 35 = 35 ✓
Why it happens: Dividing by 1 means making groups of size 1, or making just 1 group. Either way nothing is broken up, so the number stays exactly as it was.
Try this too: 35 ÷ 35 = 1. If you make 35 groups out of 35 coconuts, each group gets just 1 coconut.
Q3.
Write the appropriate multiplication fact for the array shown below. Write two division facts that follow from the multiplication fact.
The array on page 119. Count the coconuts in one row and the number of rows, write those two numbers in the empty boxes, then fill the three sentences below.

_____ × _____ = _____
_____ ÷ _____ = _____
_____ ÷ _____ = _____

Answer

Multiplication fact: 4 × 8 = 32.  Division facts: 32 ÷ 8 = 4 and 32 ÷ 4 = 8.

First count the array in the book. There are 4 rows and 8 coconuts in every row.

8 in each row 4 rows 4 × 8 = 32
Four rows of eight coconuts. Counting in fours or in eights gives the same total, 32.
  1. Count the rows and the number in each row. 4 rows, 8 in each row.
  2. Multiply. 4 × 8 = 32 coconuts altogether.
  3. Share into 8 groups (the columns). Each group has 4. So 32 ÷ 8 = 4.
  4. Share into 4 groups (the rows). Each group has 8. So 32 ÷ 4 = 8.
4 × 8 = 32
32 ÷ 8 = 4
32 ÷ 4 = 8
Check it yourself: N = D × Q. Here 32 = 8 × 4 ✓ and 32 = 4 × 8 ✓. Both division facts pass the test.
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