Question

# Between which two numbers in tenth place on the number line does each of the given numbers lie?(a) 0.06 (b) 0.45 (c) 0.19 (d) 0.66 (e) 0.92 (f) 0.57

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Hint: Students first need to understand how to calculate one tenth of a number. You need to divide the number by ten. For example, one tenth of 8 is 0.8. Simply cancel the zero at the end and move the decimal one place to the left. To find the two numbers between which the number is present, we need to divide the number line between consecutive numbers into 10 parts. For example, ten parts between 0 and 1, ten parts between 1 and 2 and such. Then, we need to see if the given number is lower than one limit but higher than another.

Complete step by step solution:
Step 1:
(a) Since we need to find the two numbers in tenth place on the number line between which the number 0.06 lie, we divide the line between 0 and 1 into ten parts, each of these parts being 1/10, a tenth.
Thus, the number 0.06 lies between 0 and 0.1.
$0<0.06<0.1$
Step 2:
(b) Since we need to find the two numbers in tenth place on the number line between which the number 0.45 lies, we divide the line between 0 and 1 into ten parts, each of these parts being 1/10, a tenth.
Thus, the number 0.45 lies between 0.4 and 0.5.
$0.4<0.45<0.5$
Step 3:
(c) Since we need to find the two numbers in tenth place on the number line between which the number 0.19 lies, we divide the line between 0 and 1 into ten parts, each of these parts being 1/10, a tenth.
Thus, the number 0.19 lies between 0.1 and 0.2.
$0.1<0.19<0.2$

Step 4:
(d) Since we need to find the two numbers in tenth place on the number line between which the number 0.66 lies, we divide the line between 0 and 1 into ten parts, each of these parts being 1/10, a tenth.
Thus, the number 0.66 lies between 0.6 and 0.7
$0.6<0.66<0.7$.
Step 5:
(e) Since we need to find the two numbers in tenth place on the number line between which the number 0.92 lies, we divide the line between 0 and 1 into ten parts, each of these parts being 1/10, a tenth.
Thus, the number 0.92 lies between 0.9 and 1.0
$0.9<0.92<1.0$
Step 6:
(f) Since we need to find the two numbers in tenth place on the number line between which the number 0.57 lie, we divide the line between 0 and 1 into ten parts, each of these parts being 1/10, a tenth.
Thus, the number 0.57 lies between 0.5 and 0.6
$0.5<0.57<0.6$

Note: You can get an idea between which two numbers the given number lies by looking at the digit right of the decimal point. We can then compare which number it is less than and greater than. If you understand one, you can easily do the rest of them. Also if it's helpful you can draw a number line, place the values and then figure out the answer. Looking at it will make it easier. You just need to be careful when placing the values, which will come with practice.