Embibe Experts Solutions for Chapter: Whole Numbers, Exercise 1: Exercise

Manoj and Tarun are finding the product, $37\times 25\times 4$. They are trying to find the person who can do it first and correctly. Manoj won the game by quickly telling the correct answer, mentioning that he used a property of whole number multiplication.

Which of the following properties of whole number multiplication Manoj could have used?

Given below is the page from Diya's Mathematics worksheet. Identify the step she used commutative property of multiplication of whole numbers

Solve: $5\times 1634\times 200$

$\left(i\right) 5\times 1634\times 200=(5\times 1634)\times 200$

$\left(ii\right) (5\times 1634)\times 200=\left(1634\times 5\right)\times 200$

$\left(iii\right) \left(1634\times 5\right)\times 200=1634\times (5\times 200)$

$\left(iv\right) 1634\times (5\times 200)=1634\times 1000$

$\left(v\right)1634\times 1000=1634000$

Deepak wants to understand how the vertical multiplication method given below gives the right answer.  

$423\times 138$

He worked out the steps below with a few concepts he learned, and worked out the right answer.

$\left(i\right) (423\times 138)=423\times (100+30+8)$,  $\left(ii\right) 423\times (100+30+8)=423\times 100+423\times 30+423\times 8$

$\left(ii\right)$ $423\times 100=42300, 423\times 30=12690, 423\times 8=3384$

$\left(iii\right)$  $423\times 1383384126904230058374$

Which property of the whole number did Deepak use to multiply the number?

Shown below is Hari's workbook.

$\left(i\right) 54\times \left(5-4\right)+16\times 0 = 54\times 1 + 0$

$\left(ii\right) 54\times 1+0=54+0$

$\left(iii\right) 54+0=54$ (Ans)

In which of these steps did Hari use the multiplicative identity for whole numbers?

The table below shows the details of balls Atul bought for his shop.  Atul started calculating the number of balls he bought but left the calculation in midway, leaving a numerical expression for the calculation later.

Which of the following numerical expressions gives the number of balls Atul bought?

Which of the following is/are true about the properties of whole numbers?

Jyothi in her workbook has calculated the value of $64\times 25$, in three different ways. However she left her work incomplete without filling in the final answer.

$\left(i\right) 64\times 25=(60+4)\times 25=60\times 25+4\times 25=\_\_\_\_\_\_$

$\left(ii\right) 64\times 25=\frac{64\times 100}{4}=\frac{6400}{4}=\_\_\_\_$

$\left(iii\right)$ $64\times 25=\_\_\_ \times \_\_\_$

Which of the following gives the same value as $64\times 25$?

A teacher gave the problem below to the students of a class and announced a gift to the student who solves it first.

$4378+998=\_\_\_$

A student gave the answer almost immediately. Which of the following numerical expression gives the value as the sum of the numbers above?